بایگانی دسته: دسته‌بندی نشده

p-adic Aspects of Automorphic Forms

Spring School and International Conference

From April 22 to 29, 2017

IPM, Tehran, Iran

Organizers :

P. Kassaei (King’s College London)

F. Shahidi (Purdue Univ., USA)

J. Tilouine (Université Paris 13)

Mini-Courses (April 22-24)

P. Kassaei : Geometry of Hilbert Varieties and overconvergent modular forms (09:00-10:30)

V. Pilloni (CNRS, ENS Lyon) Weight one modular forms (11:00-12:30)

J. Tilouine : Algebraic Automorphic Forms, Hida Theory and the Eigenvariety (14:00-15:30)

Location: IPM, Niavaran Building, lecture hall 1

Conference (April 26-29)

P. Colmez (CNRS)

A. Conti (MPIM Bonn)

V. Hernandez (U. Paris 6)

P. Kassaei (King’s College London)

A.-C. Le Bras (ENS Paris)

S. Morel (Princeton U.)

M. Peche (ENS Lyon)

V. Pilloni (CNRS, ENS Lyon)

A. Skorobogatov (Imperial College, London)

B. Stroh (U. Paris 6)

J. Tilouine

Cap1'

Location: IPM, Niavaran Building

Registration

Poster

Introduction to the Arthur-Selberg trace formula and related techniques

Wen-Wei Li

Academy of Mathematics and Systems Science, Beijing

Abstract:
I will try to present the basic ideas and techniques for the Arthur-Selberg trace formula, which is an indispensable tool in Langlands program. If time permits, I will also talk about the geometric perspectives on the trace formula.

Time: Wed Aug 31 15:30-17:00 and Thu Sept. 1 15:30-17:00

place: Niavaran Building

سخنرانی

.

Esmail Arasteh Rad

(University of Münster )

March 14, 13:00-15:00.

Theory Of Local Model For The Moduli Of (G-)Shtukas
Abs. We discuss the theory of local models for  the moduli stacks of global Gshtukas, the function field analogs for Shimura varieties. Here G is a smooth affine group scheme over a smooth projective curve C. I wish to assume that the audiences have followed Sophie Morel’s lectures.

Place: Math Dept. Tarbiat Modares University.

سخنرانی

Sophie Morel
(Princeton University)

March 10, 09:00-11:00 and 12:30-14:00

Cohomology of Shimura varieties (morning) : I will explain the conjectural 
description of the cohomology of a Shimura variety and how people have 
tried to prove this conjecture, on the example of a Siegel modular 3-fold. 
If time permits, I’ll also talk about the applications to the Langlands 
program for GL_n.

R=T theorems (afternoon): I will explain what R and T stand for 
(ie universal deformation ring of Galois representations and ring of Hecke 
operators acting on a space of modular/automorphic forms), how to 
reformulate the Langlands correspondence as a R=T theorem, and why Vincent 
Lafforgue’s can be interpreted as the construction of a surjective map 
R->T.

Place: IPM, Niavaran Building

درس کوتاه

Sophie-MorelThe global Langlands correspondence over function fields, after Vincent Lafforgue

Sophie Morel
(Princeton University)

February 20-22,  2016

Abstract: I would like to explain what the global Langlands correspondence over function fields is, to present Vincent Lafforgue’s results about it and to give an idea of his methods. In the most famous case, that of the general linear group GL_n, Vincent Lafforgue recovers the results of his brother Laurent Lafforgue (and, for n=2, of Drinfeld), but there are in my opinion a few advantages to his methods:
– Even in this case, they are totally new and technically simpler.
– They work for general reductive groups, for example symplectic groups or orthogonal groups.
– They have been inspiring new ideas to approach the local Langlands correponsdance over local fields of any characteristic.

For registration click here

برنامه سمینار هندسه جبری

Wed.13 Jan 
12:00-13:30 de Rham Cohomology (P. Bagherzadeh, F. Abbasy)
14:00-15:00 Hodge Structures (M. Najafpour, M. Akrami)
15:30-16:30 Infinitesimal Criterion For Etalness/Smoothness (?,?) 
17:00-18:15 Schlessinger’s Theorem (S. Tayebi) 

Thu. 14 Jan 
08:45-09:45 Bezout’s Theorem (F. Kamankesh) 
10:00-11:00 Intersection Theory On Surfaces (K. Amini, R. Mahkam)

[*]12:30-13:30 Riemann-Roch and Riemann-Hurwitz Theorems (M. Jadidi, Z. Kochakzadeh) 
14:00-15:00    Algebraic Fundamental Group (A. Cheraghi, F. Taheri)
15:15-16:15 Zariski’s Main Theorem (S. Gholami, T. Torkaman)

Wed Jan 27
12:00-13:30 Chow Ring (M. Fard) 
15:30-16:30 Leray-Hirsch Theorem For Chow Rings (B. Khazaie) 
16:45-18:00 GAGA (F. Huseini, M. Rezaeian) 

Thu. 28 Jan
08:45-09:45 Bertini’s Theorem (A. Akhavan, A. Soofiani) 
10:00-11:00 Embedding of Curves in P^3 (M.Fashami) 

Wed. 3 Feb 
10:00-11:00 Jacobian Of Curves (E. Shahhoseini, D. Khajehpour)

15:30-16:30 Vector Bundles Over Projective Line (R. Khorram Pajouh,S. Sharifi) 
16:45-17:45: Vector Bundles Over Elliptic Curves (F. Amiri)