Local Langlands Conjecture and Galois Representations

Workshop and Conference

December 15, 2013 - January 3, 2014

School of Mathematics, TIFR, Mumbai




Organized by

Eknath Ghate, Chandrashekhar Khare, Dipendra Prasad, CS Rajan



Workshop

The workshop will be for the first two weeks from December 16 - 27, 2013. It will focus on mathematics related to the mod $p$ and $p$-adic Local Langlands Correspondence.


List of Speakers

Noriyuki Abe (Hokkaido)         A CLASSIFICATION OF IRREDUCIBLE ADMISSIBLE MODULO p REPRESENTATIONS OF REDUCTIVE p-ADIC GROUPS

Gabriel Dospinescu (Lyon)     AN INTRODUCTION TO THE p-ADIC LANGLANDS CORRESPONDENCE FOR GL_2

Stefano Morra (Toronto)        ON THE MOD p-LANGLANDS PROGRAM FOR GL2

Benjamin Schraen (Paris)       GLOBAL METHODS IN THE p-ADIC LANGLANDS PROGRAM

Additional talks, held during afternoons of the workshop or during the conference:

U. Anandavardhanan (Mumbai)     Self-extensions of supersingular representations of GL(2,Q_p)

Debargha Banerjee (Pune)              Differential modular forms on Shimura curves over totally real fields

Laurent Berger (Lyon)                     Mod p representations of the Borel subgroup of GL_2(Q_p)

Gautam Borisagar (Delhi)               Iwahori-Hecke model for supersingular representations of GL_2(Q_p)

Ashay Burangale (Los Angeles)     \mathfrak{p}-rigidity and Iwasawa \mu-invariants

Przemyslaw Chojecki (Paris)           Ordinary representations (after Breuil-Herzig)

Pierre Colmez (Paris)                       Locally analytic representations of GL_2 (and a colloquium talk)

Narasimha Kumar (Hyderabad)     On sign changes of q-exponents of generalized modular functions

Marie-France Vigneras (Paris)       The pro-p-Iwahori Hecke algebra I, II

Conference

The conference will be during the third week from December 30, 2013 - January 3, 2014. It will focus on topics covered by the workshop (p-adic methods in the Local Langlands Correspondence), and will also include talks on Galois representations and Automorphic forms.


List of Speakers

Noriyuki Abe (Hokkaido)	Laurent Berger (Lyon)	Przemyslaw Chojecki (Paris)
Pierre Colmez (Paris)	Gabriel Dospinescu (Lyon)	Abhik Ganguli (Mumbai)
Naoki Imai (Tokyo)	Karol Koziol (New York)	Stefano Morra (Toronto)
A Raghuram (Pune)	Ravi Ramakrishna (Ithaca)	Davide Reduzzi (Chicago)
Benjamin Schraen (Paris)	R. Sujatha (Vancouver)	Marie-France Vigneras (Paris)

Titles and abstracts of the talks can be found here.



List of Participants

A list of participants can be found here.

Due to limited accommodation availability on the TIFR campus, participation in this program is now essentially closed.



Lecture Schedule

The venue for both the workshop and conference will be the Tata Institute of Fundamental Research, located in Colaba, Mumbai, India.

The Workshop Schedule is here.

The Conference Schedule is here.


News

Photos of the conference and workshop.

Peter Scholze will give a series of lecture on topics connected to this workshop and conference in March 2014.