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Home » Automorphic forms, Shimura varieties, Galois representations and L-functions

Workshop

Automorphic forms, Shimura varieties, Galois representations and L-functions December 01, 2014 - December 05, 2014
Registration Deadline: December 01, 2014 8 days from now
To apply for Funding you must register by: September 01, 2014 3 months ago
Parent Program: New Geometric Methods in Number Theory and Automorphic Forms
Location: MSRI: Simons Auditorium, Atrium
Organizers LEAD Pierre Colmez (Institut de Mathématiques de Jussieu), Stephen Kudla (University of Toronto), Elena Mantovan (California Institute of Technology), Ariane Mézard (Institut de Mathématiques de Jussieu), Richard Taylor (Institute for Advanced Study)
Speaker(s)

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Description

L-functions attached to Galois representations coming from algebraic   geometry contain subtle arithmetic information (conjectures of Birch and Swinnerton-Dyer, Deligne, Beilinson, Bloch and Kato, Fontaine and Perrin-Riou). Langlands has predicted the existence of a correspondence relating these L-functions to L-functions of automorphic forms which are much better understood. The workshop will focus on recent developments related to Langlands correspondence (construction of Galois representations attached to automorphic forms via the cohomology of Shimura varieties, modularity of Galois representations...) and arithmetic of special values of L-functions.

It will be dedicated to Michael Harris as a tribute to his enormous influence on the themes of the workshop.

Bibliography (PDF)

 

Organized in partnership with:

Additional funding provided by:

ArShiFo

This workshop has received funding from the European Research Council under the European Community's Seventh
Framework Programme (FP7/2007-2013) / ERC Grant 
agreement n¬° 290766 (AAMOT)


Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Dec 01, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Parabolically induced mod p representations of reductive p-adic
Marie-France Vigneras (Université de Paris VII (Denis Diderot))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Moduli stacks of local Galois representations
Matthew Emerton (University of Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Integral p-adic Hodge theory
Peter Scholze (Universität Bonn)
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  MSRI/Evans Lecture
Pierre Colmez (Institut de Mathématiques de Jussieu)
Dec 02, 2014
Tuesday
09:30 AM - 10:30 AM
  Special parahorics and exotic good reduction
Wei Zhang (Columbia University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Cycles on Shimura varieties and applications to Faltings heights
Benjamin Howard (Boston College)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On the Hodge-Tate period map for Shimura varieties of Hodge type
Ana Caraiani (Princeton University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Higher Koecher's principle
Kai-Wen Lan (University of Minnesota, Twin Cities)
04:30 PM - 05:00 PM
  Poster Session
05:00 PM - 09:00 PM
  Banquet at Hong Kong East Ocean Seafood Restaurant
Dec 03, 2014
Wednesday
09:00 AM - 10:00 AM
  Special Values of automorphic L-functions and congruences
A. Raghuram (Indian Institute of Science Education and Research)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  The  exterior algebra in the cohomology of an arithmetic group
Akshay Venkatesh (Stanford University)
11:30 AM - 12:00 PM
  Break
12:00 PM - 01:00 PM
  Branching laws and period integrals for non-tempered representations.
Dipendra Prasad (Tata Institute of Fundamental Research)
Dec 04, 2014
Thursday
09:30 AM - 10:30 AM
  Modularity of non-semisimple Galois representations
Henri Darmon (McGill University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  The Bloch Kato Conjecture for some Adjoint Selmer Groups.
Frank Calegari (Northwestern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Euler System
Sarah Zerbes (University College)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  p-adic L-functions, Iwasawa theory, and elliptic curves
Christopher Skinner (Princeton University)
Dec 05, 2014
Friday
09:00 AM - 10:00 AM
  G-bundles and the local Langlands correspondence
Laurent Fargues (Institut de Mathématiques de Jussieu)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  On conductor 1 algebraic automorphic representations of GL(n) over Q, and applications
Gaetan Chenevier (CNRS)
11:30 AM - 12:00 PM
  Break
12:00 PM - 01:00 PM
  P-radicial base change,mod p
Laurent Clozel (Univ. paris-sud)