ARITHMETIC GEOMETRY SEMINAR

Arithmetic Geometry Seminar

An i-MATH Intensive Research Programme

Goals

The visiting researchers will lecture about their present topics of interest. The goal of the weekly Seminar is to contribute to dissemination of research, to provide an opportunity for scientific exchange and to initiate joint research projects.

Place

Centre de Recerca Matemàtica

Sessions will be held on Thursday

Everybody is welcome! No registration for participation is needed except for the advanced courses and workshops, which have their own web site.

Programme (link to "next sessions")

September 4, 2009
Javier Lopez Peña, Queen Mary University of London
Variedades torificadas y su geometría sobre F_1

September 11, 2009
National Holiday

September 17, 2009
Eric Urban, Columbia University
p-adic Families of automorphic representations and Eigenvarieties

September 23, 2009
Time: 12:00h
Olivier Lorscheid, Max Planck Institute
Torified varieties, Connes-Consani's F1-schemes and algebraic groups over F1

September 23, 2009
Time: 15:00h
Please note, this session will be held in a different place
UPC - FME, classroom 101
Massimo Bertolini, Università de Milano
Values of p-adic Rankin L-series and higher dimensional cycles

October 1, 2009
Ron Livne, Hebrew University of Jerusalem
Kummer families over Shimura curves

October 8, 2009
Time: 15:30h
Gerard Freixas, Institut de Mathématiques de Jussieu
Formes modulars i fórmula de Riemann-Roch en teoria d'Arakelov I

October 8, 2009
Time: 16:45h
Gerard Freixas, Institut de Mathématiques de Jussieu
Formes modulars i fórmula de Riemann-Roch en teoria d'Arakelov II

October 15, 2009
Time: 15:30h
Please note, this session will be held in a different place
UAB, Facultat de Ciències, aula C3b/008
Ariel Martin Pacetti, Universidad de Buenos Aires
Introduction to modular forms and L-functions

October 15, 2009
Time: 16:45h
Please note, this session will be held in a different place
UAB, Facultat de Ciències, aula C3b/008
Ariel Martin Pacetti, Universidad de Buenos Aires
Construction of half integral weight modular forms and applications

October 19 to 24, 2009
Bas Edixhoven, Andrei Yafaev and Shou-Wu Zhang
Advanced Course on Shimura Varieties and L-functions

October 29, 2009
Time: 15:30h
Luis Dieulefait, Universitat de Barcelona
Introduction to elliptic curves and L-functions

October 29, 2009
Time: 16:45h
Marco A. Seveso, Università de Milano
Stark-Heegner cycles on modular curves

November 5, 2009
Please note, Prof. Urban session has been cancelled
Time: 16:00h
Santiago Molina, UPC
Introduction to the Birch and Swinnerton-Dyer conjecture

November 12, 2009
Time: 15:15h
Ariel Martin Pacetti, Universidad de Buenos Aires
Modular forms and Hecke operators

November 12, 2009
Time: 16:30h
Eric Urban, Columbia University
p-adic Families of automorphic representations and Eigenvarieties II

November 17 to 18, 2009
Time: 16:00h
Alex Bartel, Cambridge University
Some invariants of integral Galois representations

November 19, 2009
Time: 15:30h
Alex Bartel, Cambridge University
Some invariants of integral Galois representations

November 24 to 26, 2009
Time: 16:00h
Ravi Ramakrishna, Cornell University
Deformations of Galois representations and modular forms

November 30 to December 4, 2009
Time: 16:00h
Tim Dokchitser, Cambridge University
The Birch and Swinnerton-Dyer and parity conjectures for elliptic curves

December 1, 2009
Time: 10:00h
Please note, this session will be held in a different room
Room: Auditori
Wojciech J. Gajda, Adam Mickiewicz University
On Galois representations and Abelian varieties over finitely generated fields

December 9 to 12, 2009
Henri Darmon and Kartik Prasanna
Advanced Course on Algebraic Cycles, Modular Forms, and Rational Points on Elliptic Curves

December 14 to 18, 2009
Workshop on Cycles and Special Values of L-series

January 15, 2010
Time: 12:00 - 13:00h
Ignazio Longhi, National Taiwan University
The Iwasawa main conjecture

January 15, 2010
Time: 13:00 - 14:00h
Ignazio Longhi, National Taiwan University
Iwasawa main conjecture for abelian varieties over function fields

January 22, 2010
Time: 11:00 - 12:00h
Cécile Armana, CRM
What is a Drinfeld module?

January 22, 2010
Time: 12:00 - 13:00h
Cécile Armana, CRM
Torsion of rank-2 Drinfeld modules and Drinfeld modular curves

January 27, 2010
Time: 16:00 - 18:00h
Workgroup
t-motives

January 28, 2010
Time: 15:00 - 16:30h
Workgroup
t-motives

January 28, 2010
Time: 16:30 - 18:00h
Workgroup
Deformaciones de Galois y otras herramientas para la modularidad

January 29, 2010
Time: 11:00 - 12:00h
Francesc Bars, UAB
The formula on the integral values o Carlitz-Riemann zeta function

January 29, 2010
Time: 12:00 - 13:00h
Francesc Bars, UAB
Coleman power series and L-functions

February 3, 2010
Time: 15:00 - 17:00h
Please note, this session will be held in a different room
Room: UAB, Facultat de Ciències, aula C1/009
Workgroup
t-motives

February 4, 2010
Time: 11:00 - 13:00h
Workgroup
Deformaciones de Galois y otras herramientas para la modularidad

February 4, 2010
Time: 15:00 - 16:00h
Xavier Xarles, UAB
Determination of all the rational points of genus>1 curves

February 4, 2010
Time: 16:00 - 17:00h
Xavier Xarles, UAB
Squares in arithmetic progressions

February 11, 2010
Time: 11:00 - 13:00h
Workgroup
Deformaciones de Galois y otras herramientas para la modularidad

February 11, 2010
Time: 15:00 - 15:30h
Joan Carles Lario, UPC
Quocients el·líptics modulars

February 11, 2010
Time: 15:35 - 16:35h
Cécile Armana, CRM - Ignazio Longhi, Taiwan National University
Drinfeld modular vurves: Group of automorphism and factors of the Jacobian

February 11, 2010
Time: 17:00 - 18:00h
Josep González, UPC
Cropping Euler factors of modular L-functions

February 12, 2010
Time: 11:00 - 13:00h
Workgroup
t-motives

February 12, 2010
Time: 15:00 - 17:00h
Workgroup
t-motives February 18, 2010
Time: 11:00 - 13:00h
Room: UAB, Facultat de Ciències, aula C5b/025
Harald A. Helfgott, University of Bristol
El problema de la paridad en los cuerpos de numeros y los cuerpos de funciones

February 18, 2010
Time: 15:00 - 17:00h
Room: UAB, Facultat de Ciències, aula C5b/025
Workgroup
Representaciones y herramientas modulares March 1, 2010
Time: 15:00 - 16:00
Room: CRM Auditori
E. U. Gekeler, Saarlanders Universitaet
Analysis of Drinfeld modular forms for GL (2,F_q[T])

Time: 16:30-17:30
Room: CRM Auditori
Ekin Ozman, University of Wisconsin-Madison
Local Points on Quadratic Twists of X_0(N)

March 2, 2010

Time: 15:00 - 17:00h
Room: CRM Auditori

Workgroup
Representaciones y herramientas modulares

March 3, 2010

Time: 15:00 - 16:00

Room: CRM Auditori

Eknath Ghate, Tata Institute of Fundamental Research

(p,p)-representations attached to automorphic form on GL_n

Time: 16:30-17:30

Room: CRM Auditori

Debargha Banerjee, Tata Institute of Fundamental Research

Endomorphism algebras of modular motives

March 4, 2010

Time: 10:00 - 11:30

Room: CRM Auditori

E.U.Gekeler, Universität des Saarlandes

Zeroes of Drinfeld modular forms

March 10, 2010

Time: 16:00 - 17:00

Room: CRM C1/028

Matteo Longo, Universita di Milano

Reciprocity Law for Darmon points over Jacobinans of Shimura curves and arithmetic applications

Next sessions

March 17, 2010

Time: 16:00 - 17:00

Room: UAB, Facultat de Ciències, aula C5b/013

Alexei Skorobogatov, Imperial College London

Etale cohomology of abelian varieties, and applications to the Brauer group of K3 surfaces

March 18, 2010

Time: 11:30-13:30

Room: CRM C1/028

Workgroup: Deformaciones de representaciones de Galois.