| 過去の記録 ～02/09 | 今後の予定 02/10～ | 談話会・セミナー ホーム | 東大数理 ホーム | 数理へのアクセス |
| 開催情報 | 水曜日16:30～17:30数理科学研究科棟(駒場) 056号室 |
| 担当者 | 辻 雄 |
16:30 - 18:45 数理科学研究科棟(駒場) 056号室
津嶋 貴弘 氏 (東京大学大学院数理科学研究科) 16:30 - 17:30
『 Elementary computation of ramified component of the Jacobi sum 』
R. Coleman and W. McCallum calculated the Jacobi sum Hecke characters using their computation of the stable reduction of the Fermat curve in 1988. In my talk, we give an elementary proof of the main result of them without using rigid geometry or the stable model of the Fermat curve.
Christopher Deninger 氏 (Universität Münster) 17:45 - 18:45
『 P-divisible groups and the p-adic Corona problem 』
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Bernard Le Stum 氏 (Université de Rennes 1)
『 The local Simpson correspondence in positive characteristic 』
A Simpson correspondance should relate Higgs bundles to differential modules (or local systems). We stick here to positive characteristic and recall some old and recent results : Cartier isomorphism, Van der Put's classification, Kaneda's theorem and Ogus-Vologodsky local theory. We'll try to explain how the notion of Azumaya algebra is a convenient tool to unify these results. Our main theorem is the equivalence between quasi-nilpotent differential modules of level m and quasi-nilpotent Higgs Bundles (depending on a lifting of Frobenius mod p-squared). This result is a direct generalization of the previous ones. The main point is to understand the Azumaya nature of the ring of differential operators of level m. Following Berthelot, we actually use the dual theory and study the partial divided power neighborhood of the diagonal.
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Ahmed Abbes 氏 (Université de Rennes 1)
『 On GAGA theorems for the rigide-étale topology 』
Last year, I finished my course in Todai on "Rigide Geometry following M. Raynaud" by stating a GAGA theorem for the rigide-étale topology, due to Gabber and Fujiwara. I will give a new proof of this theorem, inspired by another theorem of Gabber, namely the Affine analog of the proper base change theorem.
11:00 - 12:00 数理科学研究科棟(駒場) 123号室
いつもと、曜日、時間、教室が違います。
午後からは、織田先生還暦記念の研究集会がはじまります。
Dinakar Ramakrishnan 氏 (カリフォルニア工科大学)
『 Modular forms and Calabi-Yau varieties 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
いつもと曜日が違います。
Fabien Trihan 氏 (Nottingham大学)
『 On the $p$-parity conjecture in the function field case 』
Let $F$ be a function field in one variable with field of constant a finite field of characteristic $p>0$. Let $E/F$ be an elliptic curve over $F$. We show that the order of the Hasse-Weil $L$-function of $E/F$ at $s=1$ and the corank of the $p$-Selmer group of $E/F$ have the same parity (joint work with C. Wuthrich).
16:30 - 18:45 数理科学研究科棟(駒場) 056号室
Vincent Maillot 氏 (Paris第7大学) 16:30 - 17:30
『 New algebraicity results for analytic torsion 』
Richard Hain 氏 (Duke大学) 17:45 - 18:45
『 On the Section Conjecture for the universal curve over function fields 』
16:30 - 18:30 数理科学研究科棟(駒場) 056号室
Bruno Kahn 氏 (Paris第7大学)
『 On the classifying space of a linear algebraic group 』
16:30 - 18:30 数理科学研究科棟(駒場) 056号室
Bruno Kahn 氏 (Paris第7大学)
『 Motives and adjoints 』
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Gombodorj Bayarmagnai 氏 (東京大学大学院数理科学研究科)
『 The (g,K)-module structure of principal series and related Whittaker functions of SU(2,2) 』
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
廣江 一希 氏 (東京大学大学院数理科学研究科)
『 Generalized Whittaker functions for degenerate principal series of GL(4,R) 』
16:30 - 18:45 数理科学研究科棟(駒場) 056号室
大久保 俊 氏 (東京大学大学院数理科学研究科) 16:30 - 17:30
『 剰余体が非完全な場合のB_dR^+のGalois理論 』
斎藤 秀司 氏 (東京大学大学院数理科学研究科) 17:45 - 18:45
『 A counterexample of Bloch-Kato conjecture over a local field and infinite torsion in algebraic cycles of codimension two 』
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Pierre Colmez 氏 (École polytechnique)
『 On the p-adic local Langlands correspondence 』
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
鈴木正俊 氏 (東京大学大学院数理科学研究科)
『 Mean-periodicity and analytic properties of zeta-functions 』
Mean-periodicityというのは周期性の概念のひとつの一般化である。最近、I. Fesenko, G. Ricottaとの共同研究により、数論的スキームのゼータ関数を含むある複素関数のクラスと、mean-periodicityとの関連性が新しく見出された。
これはHecke-Weilによる, 解析接続と関数等式を持つDirichlet級数と保型形式との対応の一つの拡張ともみなせる. この背景には, I. Fesenkoの高次元アデール上のゼータ積分の理論があり、数論的スキームのHasseゼータ関数の解析接続を高次元アデール上の調和解析から導こうというプログラムの一環となっている。
この講演ではそのような背景にも若干触れた上、ゼータ関数の解析的性質とmean-periodicityの関連、特に解析接続と関数等式との関連について解説する。
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
平田典子 氏 (日本大学理工学部)
『 Lang's Observation in Diophantine Problems 』
In 1964, Serge Lang suggested the following problem, which reads now as follows:
Let $E$ be an elliptic curve defined over a number field $K$, and $\varphi$ be a rational function on $E$. Then, for every point $P\in E(K)$ where $\varphi$ does not vanish at $P$, the logarithms of a norm of $\varphi(P)$ is at worst linear in the logarithms of the Neron-Tate height of the point $P$.
We give a simultaneous Diophantine approximation for linear forms in elliptic logarithms which actually implies this conjecture. We also present Lang's observations in Diophantine problems.
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Olivier Fouquet 氏 (大阪大学)
『 Dihedral Iwasawa theory of ordinary modular forms 』
According to Hida theory, the Galois representation attached to a nearly-ordinary Hilbert eigencuspform belongs to a p-adic analytic family of Galois representations parametrized by varying weights. After restricting it to the absolute Galois group of a quadratic totally complex extension, it also belongs to a p-adic family coming from classical dihedral Iwasawa theory. We will explain the proofs of part of the main conjecture in Iwasawa theory in these situations, i.e divisibilities of characteristic ideals when equalities are actually expected.
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
Daniel Caro 氏 (Université de Caen)
『 Overholonomicity of overconvergence $F$-isocrystals on smooth varieties 』
Let $¥mathcal{V}$ be a complete discrete valuation ring
of characteristic $0$, with perfect residue field $k$ of
characteristic $p>0$. In order to construct $p$-adic coefficients
over $k$-varieties, Berthelot introduced the theory of
overconvergent $F$-isocrystals, i.e overconvergent isocrystals with
Frobenius structure. Moreover, to get a $p$-adic cohomology over
$k$-varieties stable under cohomological operations, Berthelot built
the theory of arithmetic $F$-$¥mathcal{D}$-modules. In this talk,
after recalling some elements of these theories, we introduce the
notion of overholonomicity with is a property as stable as the
holonomicity in the classical theory of $¥mathcal{D}$-modules. The
goal of the talk is to prove the overholonomicity of arithmetic
$¥mathcal{D}$-modules associated to overconvergent $F$-isocrystals
over smooth $k$-varieties. In the proof we need Christol's transfert
theorem, a comparison theorem between relative log rigid cohomology
and relative rigid cohomology and last but not least Kedlaya's
semistable reduction theorem. This is a joint work with Nobuo
Tsuzuki.
16:30 - 17:30 数理科学研究科棟(駒場) 056号室
10月から教室が056号室に変更になります.
Pierre Parent 氏 (Universite Bordeaux 1)
『 Serre's uniformity in the split Cartan case 』
We show that, for large enough prime number p, the modular curve
X_{split}(p) has no other point with values in Q than CM points and the rational cusp. This gives a partial answer to an old question of J.-P. Serre concerning the uniform surjectivity of Galois representations associated to torsion points on elliptic curves without complex multiplication.
(Joint work with Yuri Bilu.)
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
いつもと曜日が異なりますのでご注意下さい.
Christopher Deninger 氏 (Munster大学)
『 A determinant for p-adic group algebras 』
For a discrete countable group G there is a classical determinant on the units of the L^1-convolution algebra of G. It is defined using functional analysis and can be used for example to calculate the entropy of certain G-actions. We will discuss a p-adic analogue of this theory. Instead of functional analysis the definition of the p-adic determinant uses algebraic K-theory. It has an application to the study of the p-adic distribution of periodic G-orbits in certain G-action.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Don Zagier 氏 (Max Planck研究所)
『 $q$-series and modularity 』
13:00 - 18:00 数理科学研究科棟(駒場) 002号室
4講演あります.また,いつもと曜日,時間,場所が異なります.
ご注意下さい.
Olivier Brinon 氏 (Paris北大学) 13:00 - 14:00
『 B_dR-representations and Higgs bundles 』
Henrik Russell 氏 (Duisburg-Essen大学) 14:15 - 15:15
『 Generalized Albanese and duality 』
Thomas Geisser 氏 (南California大学) 15:45 - 16:45
『 Negative K-theory, homotopy invariance and regularity 』
The topic of my talk are two classical conjectures in K-theory:
Weibel's conjecture states that a scheme of dimension d
has no K-groups below degree -d, and Vorst's conjecture
states that homotopy invariance of the K-theory of rings
implies that the ring must be regular.
I will give an easy introduction to the conjectures, and discuss
recent progress.
Fabien Trihan 氏 (Nottingham大学) 17:00 - 18:00
『 On Iwasawa theory for abelian varieties over function fields of positive characteristic 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Valentina Di Proietto 氏 (Padova大学)
『 On p-adic differential equation on semi-stable varieties 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
近藤 智 氏 (東京大学数物連携宇宙研究機構)
『 有限体上のスキームのふたつのモチビックコホモロジー群の計算 (安田正大氏との共同研究) 』
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
服部 新 氏 (北海道大学大学院理学研究院) 16:30 - 17:30
『 On a ramification bound of semi-stable torsion representations over a local field 』
朝倉 政典 氏 (北海道大学大学院理学研究院) 17:45 - 18:45
『 Beilinson-Tate予想と楕円曲面のK_1の不分解元 』
(佐藤周友氏との共同研究)
代数サイクルのTate予想のK理論における類似であるBeilinson-Tate予想について、
楕円曲面の場合にそれが成り立つ非自明な例を構成する。
これは、p進レギュレーターの非消滅と関係しており、
応用としてK_1の不分解元であって整数環上のモデルからくるようなものを構成する。
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
坂内 健一 氏 (慶應義塾大学理工学部 )
『 $p$-adic elliptic polylogarithm, $p$-adic Eisenstein series and Katz measure (joint work with G. Kings) 』
The Eisenstein classes are important elements in the motivic cohomology
of a modular curve, defined as the specializations of the motivic elliptic
polylogarithm by torsion sections. The syntomic Eisenstein classes are
defined as the image by the syntomic regulator of the motivic Eisenstein
classes. In this talk, we explain our result concerning the relation between
syntomic Eisenstein classes restricted to the ordinary locus and
p-adic Eisenstein series.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
今井 直毅 氏 (東京大学大学院数理科学研究科)
『 On the connected components of moduli spaces of finite flat models 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
原 隆 氏 (東京大学大学院数理科学研究科)
『 Iwasawa theory of totally real fields for certain non-commutative $p$-extensions 』
Recently, Kazuya Kato has proven the non-commutative Iwasawa main
conjecture (in the sense of Coates, Fukaya, Kato, Sujatha and Venjakob) for
non-commutative Galois extensions of "Heisenberg type" of totally real fields,
using integral logarithmic homomorphisms. In this talk, we apply Kato's method
to certain non-commutative $p$-extensions which are more complicated than those
of Heisenberg type, and prove the main conjecture for them.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Luc Illusie 氏 (Universite Paris-Sud 11)
『 Odds and ends on finite group actions and traces 』
Suppose a finite group G acts on a scheme X separated and of finite type over a field k. This raises several questions about the traces of elements s of G (or more generally products sg, for g in the Galois group of k) on cohomology groups of various types associated with X/k (with compact support or no support, Betti if k = C, l-adic, rigid). Some were considered and solved long ago, others only recently. I will in particular discuss an equivariant generalization of a theorem of Laumon on Euler-Poincar¥'e characteristics.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Weizhe Zheng 氏 (Universite Paris-Sud 11)
『 Integrality, Rationality, and Independence of l in l-adic Cohomology over Local Fields 』
I will discuss two problems on traces in l-adic cohomology over local fields with finite residue field. In the first part, I will describe the behavior of integral complexes of l-adic sheaves under Grothendieck's six operations and the nearby cycle functor. In the second part, I will talk about rationality and independence of l. More precisely, I will introduce a notion of compatibility for systems of l-adic complexes and explain the proof of its stability by the above operations, in a slightly more general context (equivariant under finite groups). The main tool in this talk is a theorem of de Jong on
alterations.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Antoine Chambert-Loir 氏 (Universite de Rennes 1)
『 Equidistribution theorems in Arakelov geometry 』
The proof of Bogomolov's conjecture by Zhang made a crucial use
of an equidistribution property for the Galois orbits of points of small
heights in Abelian varieties defined over number fields.
Such an equidistribution property is proved using a method invented
by Szpiro, Ullmo and Zhang, and makes use of Arakelov theory.
This equidistribution theorem takes place in the complex torus
associated to the Abelian variety. I will show how a similar
equidistribution theorem can be proven for the p-adic topology ;
we have to use Berkovich space. Thanks to recent results of Yuan
about `big line bundles' in Arakelov geometry, the situation
is now very well understood.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
中村健太郎 氏 (東京大学大学院数理科学研究科)
『 Classification of two dimensional trianguline representations of p-adic fields 』
Trianguline representation is a class of p-adic Galois representations of p-adic fields. This was defined by P.Colmez by using ($\varphi, \Gamma$)-modules over Robba ring. In his study of p-adic local Langlands correspondence of GL_2(Q_p), he completely classified two dimensional trianguline representations of Q_p. On the other hand, L.Berger recently defined the category of B-pairs and established the equivalence between the category of B-pairs and the category of ($\varphi,\Gamma$)-modules over Robba ring. In this talk, we extend the Colmez's result by using B-pairs. We completely classify two dimensional trianguline representations of K for any finite extension of Q_p. We also talk about a relation between two dimensional trianguline representations and principal series or special series of GL_2(K).
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Christopher Rasmussen 氏 (京都大学数理解析研究所)
『 Abelian varieties with constrained torsion 』
The pro-$l$ Galois representation attached to the arithmetic fundamental group of a curve $X$ is heavily influenced by the arithmetic of certain classes of its branched covers. It is natural, therefore, to search for and classify these special covers in a meaningful way. When $X$ is the projective line minus three points, one finds that such covers are very scarce. In joint work with Akio Tamagawa, we formulate a conjecture to quanitify this scarcity, and present a proof for the conjecture in the case of genus one curves defined over $\Q$.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Pierre Colmez 氏 (Ecole Polytechnique)
『 On the p-adic local Langlands correspondance for GL2(Qp) 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
阿部知行 氏 (東京大学大学院数理科学研究科)
『 l進層のSwan導手とunit-root overconvergent F-isocrystalの特性サイクルについて 』
今回の講演ではBerthelotによる数論的D加群の理論を用いることによってunit-root overconvergent F-isocrystalに対してSwan導手を定義し、Kato-Saitoにより幾何学的な手法を用いて定義されたSwan導手と比較する。応用として、特異点の解消の仮定のもとでKato-SaitoのSwan導手の整数性予想を導く。
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
代数幾何学セミナーとの合同講演会です
James Lewis 氏 (University of Alberta)
『 Abel-Jacobi Maps Associated to Algebraic Cycles I 』
This talk concerns the Bloch cycle class map from the higher Chow groups to Deligne cohomology of a projective algebraic manifold. We provide an explicit formula for this map in terms of polylogarithmic type currents.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Gereon Quick 氏 (Universitaet Muenster)
『 Etale cobordism 』
We define and study a new candidate of etale topological cohomology theories for schemes over a field of abritrary characteristic: etale cobordism. As etale K-theory is related to algebraic K-theory, etale cobordism is related to algebraic cobordism of Voevodsky and Levine/Morel. It shares some nice properties of topological theories, e.g. it is equipped with an Atiyah-Hirzebruch spectral sequence from etale cohomology. We discuss in particular a comparison theorem between etale and algebraic cobordism after inverting a Bott element and, finally, we give an outlook to further possible applications of this theory.
15:00 - 18:00 数理科学研究科棟(駒場) 117号室
代数幾何学セミナーとの合同講演会です
E. Lau 氏 (Univ. of Bielefeld) 15:00 - 15:45
『 Classification of p-divisible groups by displays and duality 』
T. Zink 氏 (Univ. of Bielefeld) 16:00 - 16:45
『 Applications of the theory of displays 』
E. Looijenga 氏 (Univ. of Utrecht) 17:00 - 18:00
『 Presentation of mapping class groups from algebraic geometry 』
A presentation of the mapping class group of a genus g surface with one hole is due to Wajnryb with later improvements due to M. Matsumoto. The generators are Dehn twists defined by 2g+1 closed curves on the surface. The relations involving only two Dehn twists are the familiar Artin relations, we show that those involving more than two can be derived from algebro-geometry considerations.
16:30 - 17:30 数理科学研究科棟(駒場) 002号室
Steven Zucker 氏 (Johns Hopkins大学)
『 The reductive Borel-Serre motive 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
梶原 健 氏 (横浜国立大学)
『 Tropical toric varieties 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Andreas Rosenschon 氏 (University of Alberta)
『 Algebraic cycles on products of elliptic curves over p-adic fields 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
Stephen Lichtenbaum 氏 (Brown University)
『 The conjecture of Birch and Swinnerton-Dyer is misleading 』
All values of zeta and L-functions at integral points should be given in terms of products and quotients of Euler characteristics, and the order of the zeroes and poles at these
points should be given by the sum and difference of the ranks of
corresponding finitely generated abelian groups.
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
宮崎 直 氏 (東京大学大学院数理科学研究科)
『 $(g,K)$-module structures of principal series representations of $Sp(3,R)$ 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
長谷川 泰子 氏 (東京大学大学院数理科学研究科)
『 Cohen-Eisenstein series and modular forms associated to imaginary quadratic fields 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
津嶋 貴弘 氏 (東京大学大学院数理科学研究科)
『 Localized Characteristic Class and Swan Class 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
斎藤 毅 氏 (東京大学大学院数理科学研究科)
『 l進層の暴分岐と特性サイクル 』
15:15 - 18:45 数理科学研究科棟(駒場) 117号室
3講演です
Dennis Eriksson 氏 (東大数理/Paris) 15:15 - 16:15
『 Towards a proof of a metrized Deligne-Riemann-Roch theorem 』
小林 真一 氏 (名古屋大学多元数理) 16:30 - 17:30
『 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) 』
Frans Oort 氏 (Utrecht) 17:45 - 18:45
『 Irreducibility of strata and leaves in the moduli space of abelian varieties 』
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
2講演です
Anna Cadoret 氏 (RIMS/JSPS) 16:30 - 17:30
『 On the profinite regular inverse Galois problem 』
Given a field $k$ and a (pro)finite group $G$, consider the
following weak version of the regular inverse Galois problem:
(WRIGP/$G$/$k$) \textit{there exists a smooth geometrically
irreducible curve $X_{G}/k$ and a Galois extension $E/k(X_{G})$
regular over $k$ with group $G$.} (the regular inverse Galois
problem (RIGP/$G$/$k$) corresponding to the case
$X_{G}=\mathbb{P}^{1}_{k}$). A standard descent argument shows that
for a finite group $G$ the (WRIGP/$G$/$k$) can be deduced from the
(RIGP/$G$/$k((T))$). For
profinite groups $G$, the (WRIGP/$G$/$k((T))$) has been proved for
lots of fields (including the cyclotomic closure of characteristic $0$
fields) but the descent argument no longer works.\
\indent Let $p\geq 2$ be a prime, then a profinite group
$G$ is said to be \textit{$p$-obstructed} if it fits in a profinite group extension
$$1\rightarrow K\rightarrow G\rightarrow G_{0}\rightarrow 1$$
with $G_{0}$ a finite group and $K\twoheadrightarrow
\mathbb{Z}_{p}$. Typical examples of such profinite groups $G$ are
universal $p$-Frattini covers of finite $p$-perfect groups or
pronilpotent projective groups.\
\indent I will show that the (WRIGP/$G$/$k$) - even under
its weaker formulation: (WWRIGP/$G$/$k$) \textit{there exists a
smooth geometrically irreducible curve $X_{G}/k$ and a Galois
extension $E/k(X_{G}).\overline{k}$ with group $G$ and field of
moduli $k$.} - fails for the whole class of $p$-obstructed profinite
groups $G$ and any field $k$ which is either a finitely generated
field of characteristic $0$ or a finite field of characteristic
$\not= p$.\
\indent The proof uses a profinite generalization of the cohomological obstruction
for a G-cover to be defined over its field of moduli and an analysis of the constrainsts
imposed on a smooth geometrically irreducible curve $X$ by a degree $p^{n}$
cyclic G-cover $X_{n}\rightarrow X$, constrainsts which are too rigid to allow the
existence of projective systems $(X_{n}\rightarrow
X_{G})_{n\geq 0}$ of degree $p^{n}$ cyclic G-covers
defined over $k$. I will also discuss other implicsations of these constrainsts
for the (RIGP).
Eric Friedlander 氏 (Northwestern) 17:45 - 18:45
『 An elementary perspective on modular representation theory 』
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
2講演です
Vincent Maillot 氏 (Jussieu/京大数理研) 16:30 - 17:30
『 New applications of the arithmetic Riemann-Roch theorem 』
Don Blasius 氏 (UCLA) 17:45 - 18:45
『 Zariski Closures of Automorphic Galois Representations 』
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
2講演です
G.Bayarmagnai 氏 (東大数理) 16:30 - 17:30
『 Essential dimension of some finite group schemes 』
Jacques Tilouine 氏 (パリ北大学) 17:45 - 18:45
『 Overconvergent Siegel modular forms 』
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-Mazur type conjecture on the classicality of certain overconvergent Siegel forms of genus 2. We explain few results known in this direction.
17:00 - 18:00 数理科学研究科棟(駒場) 117号室
いつもと時間が違います
平之内 俊郎 氏 (九州大学)
『 Extensions of truncated discrete valuation rings ( 田口雄一郎先生との共同研究 ) 』
局所体の拡大とその付値環の或る商である"truncated" dvrの拡大の圏を比較する. 不分岐拡大と剰余体の拡大が一対一対応するのと同じ様に, 分岐に関する条件を加えれば,局所体と "truncated" dvr の拡大の圏が同値になる (Deligne).
今回は, 古典的な(上付き)分岐群の代わりにAbbes-斎藤による分岐群を用いて分岐に関する条件を与える. そして,この分岐群の Rigid 幾何的解釈を踏襲する事でDeligneの定理の剰余体が非完全な場合への一般化が得られる事を述べる.
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
2講演です
Fabrice Orgogozo 氏 (東大数理・Ecole Polytechnique de Paris) 16:30 - 17:30
『 p-dimension of henselian fields: an application of Ofer Gabber's algebraization technique 』
Kim Minhyong 氏 (Purdue大学・京大数理研) 17:45 - 18:45
『 Fundamental groups and Diophantine geometry 』
16:30 - 17:30 数理科学研究科棟(駒場) 128号室
代数幾何セミナーと共催です
Bas Edixhoven 氏 (Univ. of Leiden)
『 Computation of the mod l Galois representations associated to Delta 』
16:30 - 17:30 数理科学研究科棟(駒場) 128号室
いつもと曜日・部屋ともに違います
A. Marmora 氏 (パリ北大・東大/学振)
『 p-adic local constants 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
桜井 真 氏 (東京大学理学系研究科)
『 Beilinson-Drinfeld chiral algebra, geometric Langlands program and open Gromov-Witten invariants 』
都合により、とりやめになりました。
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
原下秀士 氏 (北海道大学・学振)
『 Configuration of the central streams in the moduli of abelian varieties 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
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 』
16:30 - 18:45 数理科学研究科棟(駒場) 117号室
Kai Köehler 氏 (Düesseldorf 大学) 16:30 - 17:30
『 Quaternionic analytic torsion and arithmetic geometry 』
Thomas Geisser 氏 (南カリフォルニア大学) 17:45 - 18:45
『 Duality via cycle complexes 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
伴 克馬 氏 (東京大学大学院数理科学研究科)
『 Differential Operators of Rankin-Cohen-Ibukiyama Type for Automorphic Forms of Several Variables 』
16:30 - 17:30 数理科学研究科棟(駒場) 117号室
谷口 隆 氏 (東京大学大学院数理科学研究科)
『 Distributions of discriminants of cubic algebras 』