Number theory seminar 代数学コロキウム

2006.4-2007.3

• ４月19日（水） 谷口隆 氏（東京大学数理科学研究科） Distributions of discriminants of cubic algebras
• ４月２６日（水） 伴 克馬 氏（東京大学数理科学研究科） Differential Operators of Rankin-Cohen-Ibukiyama Type for Automorphic Forms of Several Variables
• ５月２４日(水)
  • 16:30-17:30 Kai Koehler 氏 (Uni. Duesseldorf) Quaternionic analytic torsion and arithmetic geometry
  • 17:45-18:45 Thomas Geisser氏 (USC) Duality via cycle complexes
• 6月7日 廣惠一希氏(東京大学大学院数理科学研究科) Hecke-Siegel's pull back formula for the Epstein zeta function with spherical harmonic
• 6月28日 原下秀士氏 (北海道大学・学振) Configuration of the central streams in the moduli of abelian varieties
• 7月12日(cancelled) 桜井　真氏 (東大物理） Beilinson-Drinfeld chiral algebra, geometric Langlands program, and open Gromov-Witten invariants
• 8/9 at 128 G. Prasad (Univ. of Michigan) Fake projective spaces
• 8月25日(金) 128 A. Marmora氏(パリ北大・東大/学振) p-adic local constants
• 9/6 at 128 B. Edixhoven (Leiden) Computation of the mod l Galois representations associated to Delta
• 10/18
  • 16:30-17:30 F. Orgogozo (Tokyo/Paris) p-dimension of henselian fields: an application of Ofer Gabber's technique
  • 17:45-18:45 M. Kim (Purdue) Fundamental Groups and Diophantine Geometry
• 10/25 17:00-18:00 平之内 俊郎(九州大学) Extensions of truncated discrete valuation rings (田口雄一郎先生との共同研究)
• 11/1
  • 16:30-17:30 G. Bayarmagnai (Tokyo) Essential dimension of some finite group schemes
  • 17:45-18:45 J. Tilouine (Paris) Overconvergent Siegel modular forms
    abstract: We recall what is known and what is conjectured on p-adic families of overconvergent Siegel modular forms. We show how this relates to a Fontaine-Mazure type conjecture on the classicality of certain overconvergent Siegel forms of genus 2. We explain few results known in this direction.
• 12/6
  • 16:30-17:30 V. Maillot (Jussieu/RIMS) New applications of the arithmetic Riemann-Roch theorem
  • 17:45-18:45 D. Blasius (UCLA) Zariski closures of automorphic Galois representations
• 12/20
  • 16:30-17:30 A. Cadoret (RIMS/JSPS) On the profinite regular inverse Galois problem
  • 17:45-18:45 E. Friedlander (Northwestern) An elementary perspective on modular representation theory
• 1/31
  • 15:15-16:15 D. Eriksson (Tokyo/Paris) Toward a proof of a metrized Deligne-Riemann-Roch theorem
  • 16:30-17:30 S. Kobayashi (Nagoya) CM楕円曲線の超特異点における２変数p進L関数 (A two variable p-adic L-function for CM elliptic curves at supersingular primes)
  • 17:45-18:45 F. Oort (Utrecht) Irreducibility of strata and leaves in the moduli space of abelian varieties

2005.4-2006.3

• April 13, K. Nakamura (Tokyo), Geometric construction of p-adic polylogarithm.
• April 20, K. Itakura (Tokyo), Bloch-Kato conjecture for Dirichlet motives at the prime 2.
• April 27, J. Nekovar (Paris), The Euler system of CM points.
• May 22, A. B. Goncharov (Brown), Multiple polylogarithms, cyclotomy, and geometry of modular varieties.
• June 8 16:50-17:50 at 123
  V. Guletskii (IAS), Combinatorial powers of algebraic cycles
• 7月13日 松野 一夫氏 (首都大) On the p-rank of Tate-Shafarevich groups of elliptic curves
• 7月27日 T. Geisser (USC) Lichtenbaum's definition of Weil-etale cohomology of number rings.
• August 24, O. Brinon (Tokyo) Overcongergence of p-adic representations in the relative case (joint work with F. Andreatta).
• Sept. 7, J.-M. Fontaine (Orsay, Tsinghua), Some p-torsion sheaves in characteristic p>0.
• Sept. 21, C. Greither (Munechen) Recent work on the Equivariant Tamagawa Number Conjecture and on its consequences.
• Oct. 12, A. Hirn (Martin-Luther-Universitaet Halle-Wittenberg), Towards a third generation proof of the classification of the finite simple groups. abstract
  Daniel Gorenstein called it "the 30 years war", when he announced the completion of the proof of the classification of the finite simple groups (CFSG) in the beginning of the 1980s. But the whole proof is spread across some 500 seperate papers, so he proposed a revision almost immediately.
  My talk is intended for people only familiar with the most elementary group theory. In the beginning I will tell something about the importance of the simple groups among all finite groups and then state the classification theorem. Not all finite simple groups look alike. I show an example of two basic types of simple groups to give an idea, where the real difficulties in the proof of this classification theorem lie. Afterwards I will say something about the history of the CFSG and explain what a "3rd generation proof" means.
• Oct. 26, B. Chiarellotto (Padova) Filtration of p-adic differential equations based on logarithmic growth of solutions
• Nov. 2, 16:30-17:30, Christian Virdol (Nagoya), On Tate's conjecture for twisted quaternionic Shimura surfaces
  Abstract: We consider some twited quaternionic Shimura surfaces obtained from the quaternionic Shimura surface S_\Gamma(N) associated to the principal congruence subgroup \Gamma(N) via twisting by a representation of the absolute Galois group of the field of definition of S_\Gamma(N). We will prove that the order of the pole at s=2 of the zeta function of twisted quaternionic Shimura surfaces is equal to the dimension of the space of Tate cycles of these surfaces. This fact is a generalization of some results obtained by Langlands, Rapoport and Harder in the case of Hilbert modular surfaces.
• Nov. 9, 16:30-17:30, G. Herz (Muenster), Vector bundles on Mumford curves and representations of fundamental groups
  17:45-18:45, A. Abbes (Villetaneuse), Micro-local analysis in positive characteristic (joint work with T. Saito)
• Nov. 30, 16:30-17:30, Y. Mieda (Tokyo), A result on l-independence for the etale cohomology of rigid spaces over local fields
  17:45-18:45, M. Saidi (Exeter/RIMS), Galois covers of degree $p$ and semi-stable reduction of curves.
• Jan. 11, 2006
  16:30-17:30 Marc-Hubert Nicole (Tokyo/JSPS) A Geometric Interpretation of Eichler's Basis Problem for Hilbert Modular Forms
  17:45-18:45 Thomas Geisser (USC) An integral version of Kato's conjecture
• 1/18 16:30-17:30 山本 修司(東大数理) 実２次体におけるKronecker極限公式について
• Jan. 25 16:30-17:30 Ch. Deninger (Muenster/Keio) Noncommutative Mahler measure

2004.4-2005.3

• 4/21(水) 谷口 隆(東大数理) A mean value theorem for square of class numbers of quadratic fields
• 6/2 W. Niziol (Univ. of Utah), A proof of the Semi-stable Conjecture.
• 6/23 17:00-18:00 R. Crew (Univ. of Florida) Arithmetic D-modules on the unit disk.
• 6/30 三枝 洋一(東大数理) The Picard-Lefschetz Formula for p-adic Cohomology
• 7/14 I. Vidal (Univ. Paris 13, Nagoya) Nodal curves and virtual wild ramification
• 8/4 J. Tilouine (Univ. Paris 13) 15:00-16:00 Taylor-Wiles systems for GSp(4)
  16:30-17:30 Low weight rank four symplectic Galois representations
• 10月6日 望月 哲史 (東大数理) Motivic reciprocity law
• 11月10日 新井 啓介 (東大数理) Q上の楕円曲線にともなうp進表現の像の下限について
• 11月17日 軍司 圭一 (東大数理) レベル３構造を持つアーベル曲面の定義方程式
• Nov. 24 15:45-16:45 C. Breuil (IHES) Modular forms and p-adic representations of GL_2(Q_p): an overview.
• Nov. 24 17:00-18:00 C. Mazza (Jussieu) Signature of Schur-finite motives
• 12月1日 服部 新 (東大数理) 局所体上の楕円曲線のp-torsion
• 1月11日(火) 17:00-18:00 118号室. 吉田 輝義 (学振 東大/Harvard) GL_nに対する大域/局所Langlands対応の compatibilityについて
• Jan. 19, 2005. L. Hesselholt (MIT) Bi-relative algebraic K-theory and topological cyclic homology abstract
• Jan. 26, 2005. Liang-Chung Hsia (National Central Univ., Taiwan) On equidistribution theorem arising from adelic dynamics
• Ch. Deninger (Muenster) March 2, Vector bundles on p-adic curves and parallel transport,
  abstract: This is a partial p-adic analogue of the Narashimhan-Seshadri correspondence. It is closely related to Faltings p-adic nonabelian Hodge theory when Higgs = 0 and improves on his work in this case.

• April 3 (Thu) 16:30-17:30 at 123
  P. Colmez (CNRS, Paris), Finite dimensional Vector Spaces and p-adic representations.
• April 16, B. Chiarellotto (Padova), Syntomic cohomology and Hodge filtration.
• 5月7日 山本 修司(東大数理) On p-adic L-functions for imaginary quadratic fields at inert primes
• 5月28日 八森 祥隆(学習院大) p進Lie拡大の岩澤理論について
• 6月4日 萩原 啓(東京大学) Structure Theorem of Kummer Etale K-group
• July 16 Fabien Trihan (Univ. Mons) Holonomy of arithmetic D-modules associated to F-overconvergent isocrystals.
• Aug. 27 Lars Hesselholt (MIT) Motivic complexes and topological Hochschild homology
• September 17 15:30-16:30 Guido Kings (Regensburg) On non-commutative twisting in p-adic K-theory
• 16:45-17:45 Robert Pollack (Chicago) Variation of Iwasawa-invariants in Hida families
• 11月26日 Kim Minhyong (Arizona大), On the topology of algebraic surfaces and reduction modulo p
• 12月17日 市川 尚志 (佐賀大) Heights on a subvariety of an abelian variety
• Dec. 26 Lars Hesselholt (MIT) The de Rham-Witt complex in mixed characteristic
• January 14 印 林生(清華大) Gamma functions, zeta functions and distributions
• Bruno Kahn (CNRS, Paris 7) February 9 (Mon) 16:30-17:30 at 123
  Rational and numerical equivalences on certain varieties of abelian type over a finite field.
• Philippe Casous-Nogues (Bordeaux) March 5 (Fri) 16:30-17:30 at 117
  Twist of symmetric bundles
• March 22 (Monday), B. Le Stum (Rennes) The analytic site of a scheme.

• February 12, Thursday 15:00-17:00, Birational and stably birational categories
• February 13, Friday 13:30-15:30 Pure birational motives
• February 13, Friday 16:00-18:00 Triangulated birational motives

• April 17 F.Trihan (Univ. of Tokyo, Math. Sci.), Birch and Swinnerton-Dyer conjectures in positive characteristic.
• April 24 A.Shiho (Univ. of Tokyo, Math. Sci.), Weight filtrations on log crystalline cohomologies of families of open varieties in characteristic p>0 (joint work with Y.Nakkajima).
• May 1 S.Kondo (Univ. of Tokyo, Math. Sci.), Euler sytems on Drinfeld modular curves and zeta values.
• May 8 T.Moriyama (Univ. of Tokyo, Math. Sci.), Whittaker functions on Sp(2,R) and their applications to automorphic L-functions.
• May 15 K.Gunji (Univ. of Tokyo, Math. Sci.), On the graded algebra of Siegel modular forms and its dimension.
• June 5 T.Yoshida (Univ. of Tokyo, Math. Sci.), Class field theory for curves over local fields and modular curves.
• June 19 T.Geisser (Univ. of S. California), Weil-etale cohomology and special values of zeta-functions.
• July 10 L. Hesselholt (MIT), Algebraic K-theory and trace invariants.

• Oct. 16, F.Trihan (Academia Sinica, Taipei), Direct image and unipotence
• Nov. 25(Monday), A.Langer (University of Bielefeld), On the bad reduction of compact Hirzebruch-Zagier curves
• Nov. 27, A.Abbes (CNRS, Universite de Paris 13), Canonical subgroups and $p$-adic vanishing cycles for abelian varieties
• Dec. 25, L.Hesselholt, Galois cohomology of Witt vectors of algebraic integers
• 1月29日, 伊藤 哲史(東大数理), Weight-monodromy conjecture for p-adically uniformized varieties
• Feb. 19 at room 123, Nikolai Proskurin (Steklov Math. Institute, St. Petersburg), On cubic Gauss sums and certain cubic metaplectic forms.
• March 19, W. Baily (Chicago), On the moduli of certain Fano 4-folds.
  

連続講演

COE workshop (organized by K. Hagihara)