Rchr

J-GLOBAL ID：200901000694015806 Update date: May. 17, 2024

Tsuzuki Nobuo

ツヅキノブオ | Tsuzuki Nobuo

Affiliation and department：
Job title： Professor
Homepage URL (2)： https://www.r-info.tohoku.ac.jp/?action=pages_view_main&active_action=cvclient_view_main_init&cvid=read0140796&display_type=cv&block_id=449&lang=japanese , https://www.r-info.tohoku.ac.jp/?action=pages_view_main&active_action=cvclient_view_main_init&cvid=read0140796&display_type=cv&block_id=449&lang=english

Research field (1)： Algebra

Research keywords (6)： arithemtic differential equations , p-adic differential equations , arithmetic D-modules , p-adic cohomology , p-adic analytic geometry , arithmetic geometry

Research theme for competitive and other funds (36)：

2009 - 現在 Study of arithmetic varieties arising from arithemtic differential equations
2008 - 現在 Study of arithmetic D-modules and vanishing cycles
2005 - 現在 p-adic log-growth of p-adic differential equations
1995 - 現在 Study of rigid cohomology
2024 - 2029 p進的手法による数論幾何学の新展開

2019 - 2024 New developments of automorphy of Galois representations and Serre conjecture.

2018 - 2023 Study of arithmetic geometry by p-adic methods

2015 - 2019 A experimental study of arithmetic local systems with geometric origins and unsolved problems in arithmetic geometry

2011 - 2016 New developments in number theoretic geometry, topology, and algorithm

2012 - 2015 Integral structures of arithmetic differential equations and geometries behind them

2010 - 2014 A study of arithemetic geometry by p-aidc methods

2010 - 2014 Cohomology of algebraic varieties and Galois representations

2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm

2007 - 2008 Study of arithmetic D-modules

2005 - 2008 A study of arithmetic varieties by p-adic methods

2004 - 2006 P進コホモロジーにおける整構造の研究

2004 - 2006 Beyond the framework of classical arithmetic geometry-Zeta, arithmetic topology, and categorical arithmetic geometry

2002 - 2004 A study of arithmetic varieties

2001 - 2003 Geometry of Moduli Spaces and Galois Actions

2000 - 2001 リジッドコホモロジーの論の研究とその数論幾何学への応用

1998 - 1999 有限体およびP進体上のKZ方程式とその表現論への応用

1998 - 1999 On arithmetic theory of automorphic forms and special values of automorphic L-functions

1994 - 1998 Study of p-adic Galois representations on local fields of equal characteristics

1997 - 1998 Algebraic Intersection Theory on Singular Varieties

1997 - A study on rigid cohomology

1996 - 1996 P進微分方程式の研究

1996 - 1996 代数群の表現論の代数解析学的研究

1996 - 1996 超幾何関数の代数幾何学的研究

1995 - 1995 数論多様体上のp進局所系の研究

1995 - 1995 無限次元リー代数の代数解析学的研究

1994 - 1994 有限体上の特殊関数の数論への応用

1994 - P-adic local systems on varieties over local field

1994 - P進多様体上のP進局所系

1993 - 1993 数論幾何学の研究

1992 - Systems of p-adic linear differential equations

1992 - P進線形微分方程式系

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Papers (18)：

Nobuo Tsuzuki. Minimal slope conjecture of F-isocrystals. Inventiones mathematicae. 2022. 231. 1. 39-109
Nobuo Tsuzuki. CONSTANCY OF NEWTON POLYGONS OF -ISOCRYSTALS ON ABELIAN VARIETIES AND ISOTRIVIALITY OF FAMILIES OF CURVES. Journal of the Institute of Mathematics of Jussieu. 2021. 20. 2. 587-625
Bruno Chiarellotto, Nobuo Tsuzuki. Clemens-Schmid exact sequence in characteristic p. MATHEMATISCHE ANNALEN. 2014. 358. 3-4. 971-1004
Daniel Caro, Nobuo Tsuzuki. Overholonomicity of overconvergent F-isocrystals over smooth varieties. ANNALS OF MATHEMATICS. 2012. 176. 2. 747-813
Nobuo Tsuzuki. A Note on the First Rigid Cohomology Group for Geometrically Unibranch Varieties. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA. 2012. 128. 17-53

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MISC (12)：

Nobuo Tsuzuki. p-adic representations and p-adic differential equations. Report of the 47th symposium of algebra. 2002. 197-212
Nobuo Tsuzuki. Cohomological descent of rigid cohomology. Workshop on arithmetic geometry and differential equations. 2002. 42-48
Nobuo Tsuzuki. An introduction of rigid cohomology. RIMS koukyuroku. 1998. 1073. 160-167
p-進微分方程式の Local index と Swan conductor. 第一回津田塾大学整数論シンポジウム津田塾大学数学・計算機科学研究所報. 1996. 12. 32-41
TSUZUKI NOBUO. INTRODUCTION TO BLOCH-KATO CONJECTURE. RIMS Kokyuroku. 1996. 965. 134-144

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Books (1)：

Period mappings and differential equations. From C to Cp
Mathematical Society of Japan 2003 ISBN:4931469221

Lectures and oral presentations (61)：

Generic bounded solutions and maximal slope quotients of overconvergent F-isocrystals on curves
(Periods, motives and differential equations: between arithmetic and geometry 2022)
On the minimal slope conjecture of F-isocrystals
(「代数的整数論とその周辺」2020 2020)
On a 2-adic model of the family of hypergeometric Calabi-Yau varieties
(2019)
On variation of Newton polygons of F-isocrystals on a variety
(Hakodate workshop on arithmetic geometry 2018 2018)
On variation of Newton polygon of F-isocrystals and its application
(Arithmetic and geomertry of local and global fields 2018)

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Professional career (1)：

Doctor (Mathematical Science) (The University of Tokyo)

Work history (2)：

2008/04 - 現在 Tohoku University Graduate School of Science Department of Mathematics Professor
2005/04 - 2008/03 Hiroshima University Graduate School of Science, Department of Mathematics Professor

Committee career (5)：

2012/04 - 現在 Tohoku Mathematical Journal 編集委員会編集委員
2015/04 - 2019/03 日本数学会代数学賞委員
2010/03 - 2011/03 日本数学会評議員
2007/04 - 2008/03 日本数学会評議員
2006/04 - 2008/03 Hiroshima Mathematical Journal 編集委員会編集長

Awards (1)：

2010/03 - 日本数学会 Award for algebra p進コホモロジーとp進微分方程式の研究

Association Membership(s) (1)：

Mathematical Society of Japan

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