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 05, 2014 over 9 years ago
To apply for Funding you must register by: September 01, 2014 almost 10 years ago
Parent Program:
Location: SLMath: Eisenbud 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; École Normale Supérieure), Richard Taylor (Stanford University)
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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)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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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 groups
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 (Massachusetts Institute of Technology)
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 (Imperial College, London)
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
Mladen Dimitrov (Université de Lille I (Sciences et Techniques de Lille Flandres Artois)), Volker Heiermann (Université d'Aix-Marseille (AMU)), Valentin Hernandez (Polytechnical University of Cataluña (Barcelona)), Jean-Pierre Labesse (Centre International de Recontres Mathématiques (CIRM), Luminy), Arthur-César Le Bras (Rheinische Friedrich-Wilhelms-Universität Bonn), Jie LIN (Université de Paris VII (Denis Diderot)), Marc-Hubert Nicole (Université de Caen)
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 (Institute for Advanced Study)
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 (ETH Zürich)
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 (Centre National de la Recherche Scientifique (CNRS))
11:30 AM - 12:00 PM
  Break
12:00 PM - 01:00 PM
  P-radicial base change,mod p
Laurent Clozel (Université de Paris XI)
05:00 PM - 07:00 PM
  Bluegrass Performance