# 吉川 謙一

Last Update: 2021/07/18 11:22:39

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https://researchmap.jp/yoshikawa_KI_math
Research Topics
(Japanese)

(English)
Analytic torsion, Quillen metrics, and their applications to automorphic forms and moduli spaces
Overview of the research
(Japanese)
（１）解析的捩率を用いたCalabi-Yau型多様体の不変量の構成 （２）モジュライ空間上の関数としての解析的捩率不変量の構造決定 （３）解析的捩率の退化挙動の決定 （４）Borcherds Φ-関数の代数的表示
(English)
(1) Construction of invariant for varieties of Calabi-Yau type by using analytic torsion (2) Determination of the analytic torsion invariant as an explicit function on the moduli space (3) Determination of the boundary behavior of analytic torsion (4) An algebraic expression for the Borcherds Phi-function
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Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type
Shouhei Ma, Ken-Ichi Yoshikawa Shouhei Ma, Ken-Ichi Yoshikawa Shouhei Ma, Ken-Ichi Yoshikawa K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant Compositio Mathematica, 156, 10, 1965-2019 Compositio Mathematica, 156, 10, 1965-2019 Compositio Mathematica, 156, 10, 1965-2019 2020/10 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa K3 surfaces with involution and analytic torsion K3 surfaces with involution and analytic torsion K3 surfaces with involution and analytic torsion Sugaku Expositions, 33, 85-109 Sugaku Expositions, 33, 85-109 Sugaku Expositions, 33, 85-109 2020 English
Shu Kawaguchi, Shigeru Mukai, Ken Ichi Yoshikawa Shu Kawaguchi, Shigeru Mukai, Ken Ichi Yoshikawa Shu Kawaguchi, Shigeru Mukai, Ken Ichi Yoshikawa Resultants and the borcherds Φ-function Resultants and the borcherds Φ-function Resultants and the borcherds Φ-function American Journal of Mathematics, 140, 6, 1471-1519 American Journal of Mathematics, 140, 6, 1471-1519 American Journal of Mathematics, 140, 6, 1471-1519 2018/12 Refereed English Research paper(scientific journal)
YOSHIKAWA Ken-ichi 吉川 謙一 YOSHIKAWA Ken-ichi Analytic torsion for Borcea-Voisin threefolds Analytic torsion for Borcea-Voisin threefolds Analytic torsion for Borcea-Voisin threefolds Progress in Mathematics, 310, 279-361 Progress in Mathematics, 310, 279-361 Progress in Mathematics, 310, 279-361 2017 Refereed English Research paper(international conference proceedings)
YOSHIKAWA Ken-ichi 吉川 謙一 YOSHIKAWA Ken-ichi K3 surfaces with involution and analytic torsion 対合付きK3曲面と解析的捩率 K3 surfaces with involution and analytic torsion 数学, 68, 225-245 数学, 68, 225-245 , 68, 225-245 2016 Refereed Japanese
Ken-Ichi Yoshikawa 吉川 謙一 Ken-Ichi Yoshikawa Degenerations of Calabi-Yau threefolds and BCOV invariants Degenerations of Calabi–Yau threefolds and BCOV invariants Degenerations of Calabi-Yau threefolds and BCOV invariants INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 4, 1540010-1-1540010-33 International Journal of Mathematics, 26, 4, 1540010-1-1540010-33 INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 4, 1540010-1-1540010-33 2015/03 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) &gt; 10 K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) &gt; 10 K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) &gt; 10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 677, 677, 15-70 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 677, 677, 15-70 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 677, 677, 15-70 2013/04 Refereed English Research paper(scientific journal)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi A trinity of the Borcherds $\Phi$ -function A trinity of the Borcherds $\Phi$ -function A trinity of the Borcherds $\Phi$ -function Springer Proceedings in Mathematics & Statistics, 40, 575-597 Springer Proceedings in Mathematics & Statistics, 40, 575-597 Springer Proceedings in Mathematics & Statistics, 40, 575-597 2013 Refereed English Research paper(international conference proceedings)
Shouhei Ma, K. I. Yoshikawa Shouhei Ma, K. I. Yoshikawa Shouhei Ma, K. I. Yoshikawa The unirationality of the moduli spaces of 2-elementary K3 surfaces The unirationality of the moduli spaces of 2-elementary K3 surfaces The unirationality of the moduli spaces of 2-elementary K3 surfaces Proceedings of the London Mathematical Society, 105, 4, 757-786 Proceedings of the London Mathematical Society, 105, 4, 757-786 Proceedings of the London Mathematical Society, 105, 4, 757-786 2012/10 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space III: The case r(M) ≥ 18 K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space III: The case r(M) ≥ 18 K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space III: The case r(M) ≥ 18 Mathematische Zeitschrift, 272, 1-2, 175-190 Mathematische Zeitschrift, 272, 1-2, 175-190 Mathematische Zeitschrift, 272, 1-2, 175-190 2012 Refereed English Research paper(scientific journal)
Tadashi Ashikaga, Ken-Ichi Yoshikawa Tadashi Ashikaga, Ken-Ichi Yoshikawa Tadashi Ashikaga, Ken-Ichi Yoshikawa A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno) A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno) A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno) SINGULARITIES - NIIGATA - TOYAMA 2007, 56, 1-+ SINGULARITIES - NIIGATA - TOYAMA 2007, 56, 1-+ SINGULARITIES - NIIGATA - TOYAMA 2007, 56, 1-+ 2009 Refereed English Research paper(international conference proceedings)
Ken-ichi Yoshikawa Ken-ichi Yoshikawa Ken-ichi Yoshikawa CALABI-YAU THREEFOLDS OF BORCEA-VOISIN, ANALYTIC TORSION, AND BORCHERDS PRODUCTS CALABI-YAU THREEFOLDS OF BORCEA-VOISIN, ANALYTIC TORSION, AND BORCHERDS PRODUCTS CALABI-YAU THREEFOLDS OF BORCEA-VOISIN, ANALYTIC TORSION, AND BORCHERDS PRODUCTS ASTERISQUE, 328, 328, 355-393 ASTERISQUE, 328, 328, 355-393 ASTERISQUE, 328, 328, 355-393 2009 Refereed English Research paper(scientific journal)
Hao Fang, Zhiqin Lu, Ken-Ichi Yoshikawa Hao Fang, Zhiqin Lu, Ken-Ichi Yoshikawa Hao Fang, Zhiqin Lu, Ken-Ichi Yoshikawa ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS JOURNAL OF DIFFERENTIAL GEOMETRY, 80, 2, 175-259 JOURNAL OF DIFFERENTIAL GEOMETRY, 80, 2, 175-259 JOURNAL OF DIFFERENTIAL GEOMETRY, 80, 2, 175-259 2008/10 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Real K3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function Real K3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function Real K3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function MATHEMATISCHE ZEITSCHRIFT, 258, 1, 213-225 MATHEMATISCHE ZEITSCHRIFT, 258, 1, 213-225 MATHEMATISCHE ZEITSCHRIFT, 258, 1, 213-225 2008/01 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Discriminant of certain K3 surfaces Discriminant of certain K3 surfaces Discriminant of certain K3 surfaces REPRESENTATION THEORY AND AUTOMORPHIC FORMS, 255, 175-210 REPRESENTATION THEORY AND AUTOMORPHIC FORMS, 255, 175-210 REPRESENTATION THEORY AND AUTOMORPHIC FORMS, 255, 175-210 2008 Refereed English Research paper(international conference proceedings)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa On the singularity of Quillen metrics On the singularity of Quillen metrics On the singularity of Quillen metrics MATHEMATISCHE ANNALEN, 337, 1, 61-89 MATHEMATISCHE ANNALEN, 337, 1, 61-89 MATHEMATISCHE ANNALEN, 337, 1, 61-89 2007/01 Refereed English Research paper(scientific journal)
Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Ken-Ichi Yoshikawa Analytic torsion and an invariant of Calabi-Yau threefold Analytic torsion and an invariant of Calabi-Yau threefold Analytic torsion and an invariant of Calabi-Yau threefold Differential Geometry and Physics, 10, 480-489 Differential Geometry and Physics, 10, 480-489 Differential Geometry and Physics, 10, 480-489 2006 English Research paper(international conference proceedings)
S Kawaguchi, KI Yoshikawa S Kawaguchi, KI Yoshikawa S Kawaguchi, KI Yoshikawa Complex curves of genus three, Kummer surfaces and Quillen metrics Complex curves of genus three, Kummer surfaces and Quillen metrics Complex curves of genus three, Kummer surfaces and Quillen metrics MANUSCRIPTA MATHEMATICA, 118, 2, 201-225 MANUSCRIPTA MATHEMATICA, 118, 2, 201-225 MANUSCRIPTA MATHEMATICA, 118, 2, 201-225 2005/10 Refereed English Research paper(scientific journal)
YAMADA YOSHIKAWA Atsuko, YOSHIKAWA Ken-ichi 山田(吉川)敦子, 吉川 謙一 YAMADA YOSHIKAWA Atsuko, YOSHIKAWA Ken-ichi Isolated critical points and adiabatic limits of Chern forms Isolated critical points and adiabatic limits of Chern forms Isolated critical points and adiabatic limits of Chern forms S\'eminaires & Congr\`es, 10, 443-460 S\'eminaires & Congr\`es, 10, 443-460 S\'eminaires & Congr\`es, 10, 443-460 2005 Refereed English Research paper(international conference proceedings)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi Analytic torsion and automorphic forms on the moduli space Analytic torsion and automorphic forms on the moduli space Analytic torsion and automorphic forms on the moduli space Sugaku Exposition, 17, 1-21 Sugaku Exposition, 17, 1-21 Sugaku Exposition, 17, 1-21 2004 English
KI Yoshikawa KI Yoshikawa KI Yoshikawa K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space INVENTIONES MATHEMATICAE, 156, 1, 53-117 INVENTIONES MATHEMATICAE, 156, 1, 53-117 INVENTIONES MATHEMATICAE, 156, 1, 53-117 2004 Refereed English Research paper(scientific journal)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi Nikulin's $K3$ surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds $\Phi$ -function Nikulin's $K3$ surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds $\Phi$ -function Nikulin's $K3$ surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds $\Phi$ -function Advanced Studies in Pure Math., 42, 339-345 Advanced Studies in Pure Math., 42, 339-345 Advanced Studies in Pure Math., 42, 339-345 2004 Refereed English Research paper(international conference proceedings)
KI Yoshikawa KI Yoshikawa KI Yoshikawa Discriminant of theta divisors and quillen metrics Discriminant of theta divisors and quillen metrics Discriminant of theta divisors and quillen metrics JOURNAL OF DIFFERENTIAL GEOMETRY, 52, 1, 73-115 JOURNAL OF DIFFERENTIAL GEOMETRY, 52, 1, 73-115 JOURNAL OF DIFFERENTIAL GEOMETRY, 52, 1, 73-115 1999/05 Refereed English Research paper(scientific journal)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi Smoothing of Isolated hypersurface singularities and Quillen metrics Smoothing of Isolated hypersurface singularities and Quillen metrics Smoothing of Isolated hypersurface singularities and Quillen metrics Asian Journal of Mathematics, 2, 325-344 Asian Journal of Mathematics, 2, 325-344 Asian Journal of Mathematics, 2, 325-344 1998 Refereed English Research paper(scientific journal)
K Yoshikawa K Yoshikawa K Yoshikawa Degeneration of algebraic manifolds and the spectrum of Laplacian Degeneration of algebraic manifolds and the spectrum of Laplacian Degeneration of algebraic manifolds and the spectrum of Laplacian NAGOYA MATHEMATICAL JOURNAL, 146, 83-129 NAGOYA MATHEMATICAL JOURNAL, 146, 83-129 NAGOYA MATHEMATICAL JOURNAL, 146, 83-129 1997/06 Refereed English Research paper(scientific journal)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi On the spectral zeta functions of K\"ahler varieties with conical singularities On the spectral zeta functions of K\"ahler varieties with conical singularities On the spectral zeta functions of K\"ahler varieties with conical singularities Geometric Complex Analysis Geometric Complex Analysis Geometric Complex Analysis 1996 Refereed English Research paper(international conference proceedings)
YOSHIKAWA Ken-Ichi 吉川 謙一 YOSHIKAWA Ken-Ichi On the residue of the spectral zeta functions of K\"ahler manifolds with conical singularities On the residue of the spectral zeta functions of K\"ahler manifolds with conical singularities On the residue of the spectral zeta functions of K\"ahler manifolds with conical singularities Journal of Differential Geometry, 43, 410-457 Journal of Differential Geometry, 43, 410-457 Journal of Differential Geometry, 43, 410-457 Refereed English Research paper(scientific journal)

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Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment
Degeneration of Riemann surfaces and small eigenvalues of Laplacian[Invited] Degeneration of Riemann surfaces and small eigenvalues of Laplacian [Invited] Degeneration of Riemann surfaces and small eigenvalues of Laplacian [Invited] India-Japan Web-Workshop on Vector Bundles and Related Topics India-Japan Web-Workshop on Vector Bundles and Related Topics India-Japan Web-Workshop on Vector Bundles and Related Topics 2021/02/23 English
Degeneration of Riemann surfaces and small eigenvalues of Laplacian[Invited] Degeneration of Riemann surfaces and small eigenvalues of Laplacian [Invited] Degeneration of Riemann surfaces and small eigenvalues of Laplacian [Invited] Grauert theory and recent complex geometry Grauert 理論と最近の複素幾何 Grauert theory and recent complex geometry 2021/02/06 English Oral presentation(invited, special)
Quasi-pullback of certain Siegel modular forms and Borcherds products[Invited] 或るSiege 保型形式のquasi-pullbackとBorcherds積 [Invited] Quasi-pullback of certain Siegel modular forms and Borcherds products [Invited] RIMS 共同研究(公開型)「保型形式，保型表 現, ガロア表現とその周辺」 RIMS 共同研究(公開型)「保型形式，保型表 現, ガロア表現とその周辺」 2021/01/29 English Oral presentation(invited, special)
Enriques 2n-folds and analytic torsion[Invited] Enriques 2n-folds and analytic torsion [Invited] Enriques 2n-folds and analytic torsion [Invited] 2019 ECNU Winter Workshop on Geometry, Analysis and Applications 2019 ECNU Winter Workshop on Geometry, Analysis and Applications 2019 ECNU Winter Workshop on Geometry, Analysis and Applications 2019/12/14 English Oral presentation(invited, special)
Enriques 2n-folds and analytic torsion[Invited] Enriques 2n-folds and analytic torsion [Invited] Enriques 2n-folds and analytic torsion [Invited] Kinosaki Algebraic Geometry Symposium 2019 城崎代数幾何学シンポジウム 2019 Kinosaki Algebraic Geometry Symposium 2019 2019/10/23 English Oral presentation(invited, special)
Enriques 2n-folds and analytic torsion[Invited] Enriques 2n-folds and analytic torsion [Invited] Enriques 2n-folds and analytic torsion [Invited] Discussion Meeting on Bundle 2019 Discussion Meeting on Bundle 2019 Discussion Meeting on Bundle 2019 2019/03/27 English Oral presentation(invited, special)
Enriques 2n-folds and analytic torsion[Invited] Enriques 2n-folds and analytic torsion [Invited] Enriques 2n-folds and analytic torsion [Invited] Intercity Seminar in Arakelov Geometry 2018 Intercity Seminar in Arakelov Geometry 2018 Intercity Seminar in Arakelov Geometry 2018 2018/09/05 English Oral presentation(invited, special)
Holomorphic torsion invariants for K3 surfaces with involution and Borcherds products[Invited] Holomorphic torsion invariants for K3 surfaces with involution and Borcherds products [Invited] Holomorphic torsion invariants for K3 surfaces with involution and Borcherds products [Invited] Moduli spaces and Modular forms Moduli spaces and Modular forms Moduli spaces and Modular forms 2016/04/26 English Oral presentation(invited, special)
Analytic torsion for K3 surfaces with involution[Invited] Analytic torsion for K3 surfaces with involution [Invited] Analytic torsion for K3 surfaces with involution [Invited] 2015 Taipei Conference on Complex Geometry 2015 Taipei Conference on Complex Geometry 2015 Taipei Conference on Complex Geometry 2015/12/20 English Oral presentation(invited, special)
Analytic torsion for K3 surfaces with involution[Invited] Analytic torsion for K3 surfaces with involution [Invited] Analytic torsion for K3 surfaces with involution [Invited] Trends in Modern Geometry & 10th Pacific Rim Complex Geometry Conference Trends in Modern Geometry & 10th Pacific Rim Complex Geometry Conference Trends in Modern Geometry & 10th Pacific Rim Complex Geometry Conference 2015/07/31 English Oral presentation(invited, special)
Analytic torsion invariant for K3 surfaces with involution Analytic torsion invariant for K3 surfaces with involution Analytic torsion invariant for K3 surfaces with involution Modular Forms and Geometry of Modular Varieties Modular Forms and Geometry of Modular Varieties Modular Forms and Geometry of Modular Varieties 2015/05/05 English Oral presentation(invited, special)
BCOV invariant for Calabi-Yau threefolds[Invited] BCOV invariant for Calabi-Yau threefolds [Invited] BCOV invariant for Calabi-Yau threefolds [Invited] New Developments in Algebraic Geometry, National Taiwan University New Developments in Algebraic Geometry, National Taiwan University New Developments in Algebraic Geometry, National Taiwan University 2014/08 English Oral presentation(invited, special)
Equivariant analytic torsion for $K3$ surfaces with involution[Invited] Equivariant analytic torsion for $K3$ surfaces with involution [Invited] Equivariant analytic torsion for $K3$ surfaces with involution [Invited] Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces 2014/03 English Oral presentation(invited, special)
Equivariant analytic torsion for $K3$ surfaces with involution[Invited] Equivariant analytic torsion for $K3$ surfaces with involution [Invited] Equivariant analytic torsion for $K3$ surfaces with involution [Invited] Control, index, traces and determinants, Universit\'e Paris-Sud Control, index, traces and determinants, Universit\'e Paris-Sud Control, index, traces and determinants, Universit\'e Paris-Sud 2013/05 English Oral presentation(invited, special)
Resultants and the Borcherds Phi-function[Invited] Resultants and the Borcherds Phi-function [Invited] Resultants and the Borcherds Phi-function [Invited] Complex Geometry Conference, Korea Institute for Advanced Study Complex Geometry Conference, Korea Institute for Advanced Study Complex Geometry Conference, Korea Institute for Advanced Study 2013/05 English Oral presentation(invited, special)
Analytic torsion of log-Enriques surfaces[Invited] Analytic torsion of log-Enriques surfaces [Invited] Analytic torsion of log-Enriques surfaces [Invited] Algebraic geometry, modular forms and applications to physics, International Centre for Mathematical Sciences Algebraic geometry, modular forms and applications to physics, International Centre for Mathematical Sciences Algebraic geometry, modular forms and applications to physics, International Centre for Mathematical Sciences 2012/12 English Oral presentation(invited, special)
Singularities and analytic torsion[Invited] Singularities and analytic torsion [Invited] Singularities and analytic torsion [Invited] Workshop “Spectral Invariants on Non-compact and Singular Spaces”, Centre de Recherches Math\'ematiques Workshop “Spectral Invariants on Non-compact and Singular Spaces”, Centre de Recherches Math\'ematiques Workshop “Spectral Invariants on Non-compact and Singular Spaces”, Centre de Recherches Math\'ematiques 2012/07 English Oral presentation(invited, special)
A trinity of Borcherds $\Phi$ -function[Invited] A trinity of Borcherds $\Phi$ -function [Invited] A trinity of Borcherds $\Phi$ -function [Invited] Analytic torsion and its applications, Universit\'e Paris-Sud Analytic torsion and its applications, Universit\'e Paris-Sud Analytic torsion and its applications, Universit\'e Paris-Sud 2012/06 English Oral presentation(invited, special)

On the value of Borcherds $\Phi$ -function[Invited] On the value of Borcherds $\Phi$ -function [Invited] On the value of Borcherds $\Phi$ -function [Invited] Automorphisms of algebraic varieties -- Dynamics and Arithmetic, Shirahama Automorphisms of algebraic varieties -- Dynamics and Arithmetic, Shirahama Automorphisms of algebraic varieties -- Dynamics and Arithmetic, Shirahama 2011/12 English Oral presentation(invited, special)
Resultants and Borcherds $\Phi$ -function[Invited] Resultants and Borcherds $\Phi$ -function [Invited] Resultants and Borcherds $\Phi$ -function [Invited] Automorphic forms and moduli spaces, Centre International de Rencontres Math\'ematiques Automorphic forms and moduli spaces, Centre International de Rencontres Math\'ematiques Automorphic forms and moduli spaces, Centre International de Rencontres Math\'ematiques 2011/10 English Oral presentation(invited, special)
On the value of Borcherds $\Phi$ -function[Invited] On the value of Borcherds $\Phi$ -function [Invited] On the value of Borcherds $\Phi$ -function [Invited] Workshop on Arithmetic and Geometry of \$K3\$ surfaces and Calabi-Yau threefolds, The Fields Institute for research in Mathematical Sciences Workshop on Arithmetic and Geometry of \$K3\$ surfaces and Calabi-Yau threefolds, The Fields Institute for research in Mathematical Sciences Workshop on Arithmetic and Geometry of \$K3\$ surfaces and Calabi-Yau threefolds, The Fields Institute for research in Mathematical Sciences 2011/08 English Oral presentation(invited, special)
Resultants and Borcherds $\Phi$ -function[Invited] Resultants and Borcherds $\Phi$ -function [Invited] Resultants and Borcherds $\Phi$ -function [Invited] Infinite Analysis 11, University of Tokyo Infinite Analysis 11, University of Tokyo Infinite Analysis 11, University of Tokyo 2011/07 English Oral presentation(invited, special)
Singularities and analytic torsion Singularities and analytic torsion Singularities and analytic torsion Kyoto Symposium on Complex Analysis in Several Variables XIV Kyoto Symposium on Complex Analysis in Several Variables XIV Kyoto Symposium on Complex Analysis in Several Variables XIV 2011/07 English Oral presentation(invited, special)
Singularities and analytic torsion[Invited] Singularities and analytic torsion [Invited] Singularities and analytic torsion [Invited] Geometric quantization in noncompact setting, Mathematisches Forschungsinstitut Oberwolfach Geometric quantization in noncompact setting, Mathematisches Forschungsinstitut Oberwolfach Geometric quantization in noncompact setting, Mathematisches Forschungsinstitut Oberwolfach 2011/02 English Oral presentation(invited, special)
Elliptic $J$ -function and Borcherds $\Phi$ -function[Invited] Elliptic $J$ -function and Borcherds $\Phi$ -function [Invited] Elliptic $J$ -function and Borcherds $\Phi$ -function [Invited] Lattices, Reflection Groups and Algebraic Geometry, Nagoya Lattices, Reflection Groups and Algebraic Geometry, Nagoya Lattices, Reflection Groups and Algebraic Geometry, Nagoya 2010/11 English Oral presentation(invited, special)
Analytic torsion of certain Calabi-Yau threefolds and Borcherds product[Invited] Analytic torsion of certain Calabi-Yau threefolds and Borcherds product [Invited] Analytic torsion of certain Calabi-Yau threefolds and Borcherds product [Invited] Automorphic forms, Kac-Moody algebras and Strings, The Max-Planck Institut f\"ur Mathematik Automorphic forms, Kac-Moody algebras and Strings, The Max-Planck Institut f\"ur Mathematik Automorphic forms, Kac-Moody algebras and Strings, The Max-Planck Institut f\"ur Mathematik 2010/05 English Oral presentation(invited, special)
Elliptic $J$ -function and Borcherds $\Phi$ -function[Invited] Elliptic $J$ -function and Borcherds $\Phi$ -function [Invited] Elliptic $J$ -function and Borcherds $\Phi$ -function [Invited] The 5th Franco-Japanese Symposium on Singularities The 5th Franco-Japanese Symposium on Singularities The 5th Franco-Japanese Symposium on Singularities 2009/08 English Oral presentation(invited, special)
An Introduction to Borcherds Products (I), (II), (III)[Invited] An Introduction to Borcherds Products (I), (II), (III) [Invited] An Introduction to Borcherds Products (I), (II), (III) [Invited] Holomorphically Symplectic Varieties and Moduli Spaces Holomorphically Symplectic Varieties and Moduli Spaces Holomorphically Symplectic Varieties and Moduli Spaces 2009/06 English Oral presentation(invited, special)
Analytic torsion and invariants of $K3$ and Calabi-Yau manifolds (I), (II), (III)[Invited] Analytic torsion and invariants of $K3$ and Calabi-Yau manifolds (I), (II), (III) [Invited] Analytic torsion and invariants of $K3$ and Calabi-Yau manifolds (I), (II), (III) [Invited] ICTS Program on `Differential Geometric Methods in Algebraic Geometry', Tata Institute of Fundamental Research ICTS Program on `Differential Geometric Methods in Algebraic Geometry', Tata Institute of Fundamental Research ICTS Program on `Differential Geometric Methods in Algebraic Geometry', Tata Institute of Fundamental Research 2009/04 English Oral presentation(invited, special)
Analytic Torsion and Automorphic Forms[Invited] Analytic Torsion and Automorphic Forms [Invited] Analytic Torsion and Automorphic Forms [Invited] Pacific Rim Complex Geometry Conference Pacific Rim Complex Geometry Conference Pacific Rim Complex Geometry Conference 2008/08 English Oral presentation(invited, special)
Analytic Torsion and Automorphic Forms[Invited] Analytic Torsion and Automorphic Forms [Invited] Analytic Torsion and Automorphic Forms [Invited] Tosion and Eta Forms, Universit\"at zu K\"oln Tosion and Eta Forms, Universit\"at zu K\"oln Tosion and Eta Forms, Universit\"at zu K\"oln 2008/06 English Oral presentation(invited, special)

Analytic Torsion and Automorphic Forms[Invited] Analytic Torsion and Automorphic Forms [Invited] Analytic Torsion and Automorphic Forms [Invited] International Conference on Geometry and Analysis on Manifolds, University of California Santa Barbara International Conference on Geometry and Analysis on Manifolds, University of California Santa Barbara International Conference on Geometry and Analysis on Manifolds, University of California Santa Barbara 2008/03 English Oral presentation(invited, special)
Analytic Torsion and Automorphic Forms[Invited] Analytic Torsion and Automorphic Forms [Invited] Analytic Torsion and Automorphic Forms [Invited] 15th Southern California Geometric Analysis Seminar 15th Southern California Geometric Analysis Seminar 15th Southern California Geometric Analysis Seminar 2008/02 English Oral presentation(invited, special)
$K3$ Surfaces, Analytic Torsion and Automorphic Forms[Invited] $K3$ Surfaces, Analytic Torsion and Automorphic Forms [Invited] $K3$ Surfaces, Analytic Torsion and Automorphic Forms [Invited] Modular Forms and Moduli Spaces, Euler International Mathematical Institute Modular Forms and Moduli Spaces, Euler International Mathematical Institute Modular Forms and Moduli Spaces, Euler International Mathematical Institute 2007/07 English Oral presentation(invited, special)
$K3$ Surfaces, Analytic Torsion and Automorphic Forms[Invited] $K3$ Surfaces, Analytic Torsion and Automorphic Forms [Invited] $K3$ Surfaces, Analytic Torsion and Automorphic Forms [Invited] Short Program on Moduli Spaces of Riemann Surfaces and Related Topics, Centre de Recherches Math\'ematiques Short Program on Moduli Spaces of Riemann Surfaces and Related Topics, Centre de Recherches Math\'ematiques Short Program on Moduli Spaces of Riemann Surfaces and Related Topics, Centre de Recherches Math\'ematiques 2007/07 English Oral presentation(invited, special)
A duality between Del Pezzo and $K3$ surfaces?[Invited] A duality between Del Pezzo and $K3$ surfaces? [Invited] A duality between Del Pezzo and $K3$ surfaces? [Invited] International Conference on Geometry and Analysis on Manifolds, Chern Institute of Mathematics International Conference on Geometry and Analysis on Manifolds, Chern Institute of Mathematics International Conference on Geometry and Analysis on Manifolds, Chern Institute of Mathematics 2007/04 English Oral presentation(invited, special)
Analytic torsion for Calabi--Yau threefolds[Invited] Analytic torsion for Calabi--Yau threefolds [Invited] Analytic torsion for Calabi--Yau threefolds [Invited] Arakelov Geometry, Mathematisches Forschungsinstitut Oberwolfach Arakelov Geometry, Mathematisches Forschungsinstitut Oberwolfach Arakelov Geometry, Mathematisches Forschungsinstitut Oberwolfach 2005/09 English Oral presentation(invited, special)
Analytic torsion for Calabi--Yau threefolds[Invited] Analytic torsion for Calabi--Yau threefolds [Invited] Analytic torsion for Calabi--Yau threefolds [Invited] the XXIII International Conference of Differential Geometric Methods in Theoretical Physics the XXIII International Conference of Differential Geometric Methods in Theoretical Physics the XXIII International Conference of Differential Geometric Methods in Theoretical Physics 2005/08 English Oral presentation(invited, special)
Discriminants of certain $K3$ surfaces[Invited] Discriminants of certain $K3$ surfaces [Invited] Discriminants of certain $K3$ surfaces [Invited] International Symposium on Representation Theory and Automorphic Forms International Symposium on Representation Theory and Automorphic Forms International Symposium on Representation Theory and Automorphic Forms 2005/02 English Oral presentation(invited, special)
On the singularity of Quillen metrics[Invited] On the singularity of Quillen metrics [Invited] On the singularity of Quillen metrics [Invited] Hayama Symposium on Several Complex Variables Hayama Symposium on Several Complex Variables Hayama Symposium on Several Complex Variables 2004/12 English Oral presentation(invited, special)
$K3$ 曲面と解析的トーション[Invited] $K3$ 曲面と解析的トーション [Invited] 日本数学会函数論分科会 日本数学会函数論分科会 2004/03 Japanese Oral presentation(invited, special)
Calabi-Yau hypersurfaces, discriminants, and Quillen metrics[Invited] Calabi-Yau hypersurfaces, discriminants, and Quillen metrics [Invited] Calabi-Yau hypersurfaces, discriminants, and Quillen metrics [Invited] Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach 2003/02 English Oral presentation(invited, special)
Isolated critical points and adiabatic limit of Chern forms Isolated critical points and adiabatic limit of Chern forms Isolated critical points and adiabatic limit of Chern forms Singularit\'es franco-japonaises, Centre International de Rencontres Math\'ematiques Singularit\'es franco-japonaises, Centre International de Rencontres Math\'ematiques Singularit\'es franco-japonaises, Centre International de Rencontres Math\'ematiques 2002/09 English Oral presentation(invited, special)
$K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space[Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] Geometric Analysis and Singular Spaces, Mathematisches Forschungsinstitut Oberwolfach Geometric Analysis and Singular Spaces, Mathematisches Forschungsinstitut Oberwolfach Geometric Analysis and Singular Spaces, Mathematisches Forschungsinstitut Oberwolfach 2002/06 English Oral presentation(invited, special)
$K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space[Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables 2001/11 English Oral presentation(invited, special)
$K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space[Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space [Invited] Algebraic Geometry 2000 Algebraic Geometry 2000 Algebraic Geometry 2000 2000/07 English Oral presentation(invited, special)
Analytic torsion and automorphic forms on the moduli space[Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Activity on automorphic products, Max-Plank-Institut f\"ur Mathematik Activity on automorphic products, Max-Plank-Institut f\"ur Mathematik Activity on automorphic products, Max-Plank-Institut f\"ur Mathematik 1999/03 English Oral presentation(invited, special)
Analytic torsion and automorphic forms on the moduli space[Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach 1999/03 English Oral presentation(invited, special)
Analytic torsion and automorphic forms on the moduli space[Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Analytic torsion and automorphic forms on the moduli space [Invited] Arakelov Theory, Values of \$L\$-functions, Issac Newton Institute for Mathematical Sciences Arakelov Theory, Values of \$L\$-functions, Issac Newton Institute for Mathematical Sciences Arakelov Theory, Values of \$L\$-functions, Issac Newton Institute for Mathematical Sciences 1998/07 English Oral presentation(invited, special)
Quillenの計量と判別式 Quillenの計量と判別式 日本数学会函数論分科会 日本数学会函数論分科会 1997/10 Japanese Oral presentation(invited, special)
On the spectral zeta functions of K\"ahler varieties with conical singularities[Invited] On the spectral zeta functions of K\"ahler varieties with conical singularities [Invited] On the spectral zeta functions of K\"ahler varieties with conical singularities [Invited] Geometric Complex Analysis, the Third International Research Institute of the Mathematical Society of Japan Geometric Complex Analysis, the Third International Research Institute of the Mathematical Society of Japan Geometric Complex Analysis, the Third International Research Institute of the Mathematical Society of Japan 1995/03 English Oral presentation(invited, special)

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External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
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