2008-06-30,07-01 Yang Tonghai: Maass modular forms and Arithmetic II, III

演讲人：杨同海

题目：Maass modular forms and Arithmetic II, III

星期一，二（6月30日，7月1日） 下午2：00-4：00。

地点： 晨兴中心

(More detail about his colloqium talk will be discussed)

The first-section has been lectured at Math. Instute, Academic, with a beamer-slides: PDF

2008-07-14 江迪华: On Basic Structures of Automorphic Representations.

题目: On Basic Structures of Automorphic Representations.

报告人：江迪华 University of Minnesota

时间：2007年7月14日 （星期一 ）下午 4:00-5:00

地点：首都师范大学数学学院210教室

Abstract: We start with the multiplicative structure of numbers and the elementary local-global structure of numbers, and then discuss the local-global structure in elementary harmonic analysis and how to use them to study objects in number theory, like the Riemann zeta functions. The modern theory of automorphic forms is a natural extension of these classical theory, which encodes the deep local-global relations for harmonic analysis or representations of reductive algebraic groups over number fields. This becomes the main part of the Langlands program .I will discuss my recent work along these lines of ideas.

HandWriting on WhiteBord

2008-06-23,26 2008-07-2,3 Luo Wenzhi Equidistribution on the homogeneous varieties

Title: Equidistribution on the homogeneous varieties
Prof. Luo Wenzhi(Ohio State University, USA)
Time: June23 9:30-11:30 June26 2:30-4:30pm July2 2:30-4:30 July3 9:30-11:30
Place: Peiking Univ. Resource Building 1328


Abstract:In these lectures, we'd like to survey some recent development on various equidistribution problems concerning the cuspidal holomorphic Hecke-eigenforms on arithmetic hyperbolic surfaces, which are analogues of the ergodicity of Laplacian eigenfunctions on surfaces whose geodesic flow is ergodic, as well as its higher dimensional generalization to arithmetic quotients of Hermitian symmetric spaces of non-compact type, with focus on the Siegel modular varieties and Hilbert-Blumenthal varieties. Our approach is via the Selberg trace formula, through the Bergman kernel and the Selberg-Godement dimension formula. In the case of modular surface, we'll give applications of a remarkable relation (a la Jacquet, Harris-Kudla and Watson) between the equidistribution of eigenforms and the degree 8 triple product L-functions. Next we turn to more geometric equidistribution results. It is well-known that the closed geodesics on the modular surface, when collected according to the discriminants, are equidistributed with respect to the hyperbolic measure, by the works of Duke and Iwaniec.
We study and evaluate asymptotically the variance of this distribution on the unit tangent bundle, and show it is equal to the classic variance of the geodesic flow as introduced and studied by Ratner, but twisted by an intriguing arithmetic invariant, the central value of certain L-function. Our approach is via Weil representation and the theta correspondence. Some of the above works are based on my various joint works with J.Cogdell, Z.Rudnick and P.Sarnak.

2006-06-21 贾朝华 New opinions on the sieve method with some applications (V)

讲演者：贾朝华
题目： New opinions on the sieve method with some applications (V)
地点：数学院大楼703室
时间：2006-06-21下午2:30-4:30
摘要：In this series of talks, we shall introduce the paper “Restriction theory ofthe Selberg sieve, with applications” writtenby B. Green and T. Tao, in which there are some new opinions on the sieve method with some interesting applications.

2006-06-21 杨同海：Aerage values of Hecke L-functionsvia Galois suborbits of Heegner points

讲演者：杨同海
题目：Aerage values of Hecke L-functionsvia Galois suborbits of Heegner points
地点：数学院大楼703室
时间：2006-06-21 上午11:00-12:00
摘要：In this talk, we will explainsome new results on average central L-valueof a family of Hecke L-functions. These Heckecharacters are of arithmetic feature and theircentral L-values have significant arithmeticmeanings. It has been extensively studied byGross, Rorhlich, Rodriquez-Villegas, Zagier,and myself among others. The new work (jointwith Riad Masri) has more analytic flavor,e.g., subconvexity and regularization.

YangTonghai2008-06-21

冯克勤（清华） 徐飞（首师大\中科院数学所）


冯克勤 徐飞 贾朝华（中科院数学所）

欧阳毅（中科大） 曹晓东（石油大学）

曹晓东 翟文广（山东师大）


魏达盛（中科院数学所） 姚家燕（清华）

曹晓东 刘华宁（山东大学\西北大学）

济济一堂 首排坐者 梁志斌（首都师大）

Workshop on Representations of p-adic Groups and Automorphic Forms.

Workshop on Representations of p-adic Groups and Automorphic Forms.

This is a three-week workshop on irreducible supercuspidal representations of p-adic classical groups, classification of unitary representations, and relative trace formula for automorphic forms, organized by Dihua Jiang, Ye Tian and Fei Xu

The program is from July 1 to 20, 2008. The lectures are arranged as follows:

July 2-4: Lectures on basics of representations of p-adic groups(organized by Dihua Jiang)

July 7-18: The following lectures are arranged

1) Professor Allen Moy (HKUST) (5 lectures): The Moy-Prasad Theory and Constructions of Supercuspidal Representations of p-adic Groups

2) Professor Fiona Murnaghan (Toronto) (6 lectures): On Distinguished
Supercuspidal Representations

3) Professor Dan Barbasch (Cornell) (5 lectures): On Classification of Unitary Representations of p-adic Classical Groups

4) Professor David Whitehouse (MIT) (8 lectures): On Relative Trace
Formula for Automorphic Forms and Related Topics

There will be Study Sessions arranged for students after the main lectures.
There will be also Seminars lectured by some of the participants on related topics.

Interested graduate students, postdocs and junior mathematicians are
welcome to participate the program. Please contact

Dihua Jiang (dhjiang@math.umn.edu)
Ye Tian (ytian@math.ac.cn)
Fei Xu (xufei@math.ac.cn)

Participants may arrive on June 30 or July 1.