Home /  Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms

Workshop

Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms August 18, 2014 - August 22, 2014
Registration Deadline: August 18, 2014 almost 10 years ago
To apply for Funding you must register by: May 18, 2014 about 10 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Laurent Berger (École Normale Supérieure de Lyon), Ariane Mézard (Institut de Mathématiques de Jussieu; École Normale Supérieure), LEAD Akshay Venkatesh (Institute for Advanced Study), Shou-Wu Zhang (Princeton University)
Speaker(s)

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Description
The goal of this workshop is to give a practical introduction to some of the main topics and techniques related to the August-December 2014 MSRI program, "New geometric methods in number theory and automorphic forms."   The workshop is aimed at graduate students and interested researchers in number theory or related fields.  There will be  lecture series on periods of automorphic forms, Shimura varieties, and representations of p-adic groups, as well as more advanced topics, including p-adic Hodge theory and the cohomology of arithmetic groups.  
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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 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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Aug 18, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Gross--Zagier formula: why is it right
Shou-Wu Zhang (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  An example-based introduction to Shimura varieties and their compactifications
Kai-Wen Lan (University of Minnesota, Twin Cities)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Construction of some modular symbols
Birgit Speh (Cornell University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Analytic continuation of p-adic modular forms and applications to modularity
Payman Kassaei (McGill University)
Aug 19, 2014
Tuesday
09:30 AM - 10:30 AM
  Gross--Zagier formula: why is it right?
Shou-Wu Zhang (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  An example-based introduction to Shimura varieties and their compactifications
Kai-Wen Lan (University of Minnesota, Twin Cities)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Construction of some modular symbols
Birgit Speh (Cornell University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Analytic continuation of p-adic modular forms and applications to modularity
Payman Kassaei (McGill University)
04:30 PM - 06:20 PM
  Reception
Aug 20, 2014
Wednesday
09:00 AM - 10:00 AM
  Gross--Zagier formula: why is it right?
Shou-Wu Zhang (Princeton University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  An example-based introduction to Shimura varieties and their compactifications
Kai-Wen Lan (University of Minnesota, Twin Cities)
11:30 AM - 12:30 PM
  Aspects of the mod p representation theory of p-adic reductive groups
Rachel Ollivier (University of British Columbia)
Aug 21, 2014
Thursday
09:30 AM - 10:30 AM
  Cohomology of Arithmetic Groups
Frank Calegari (Northwestern University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Aspects of the mod p representation theory of p-adic reductive groups
Rachel Ollivier (University of British Columbia)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  An overview of the theory of p-adic Galois representations
Jared Weinstein (Boston University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Phi-gamma modules and p-adic Hodge theory
Gabriel Dospinescu (École Normale Supérieure de Lyon)
Aug 22, 2014
Friday
09:30 AM - 10:30 AM
  TBA
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Cohomology of Arithmetic Groups
Frank Calegari (Northwestern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  An overview of the theory of p-adic Galois representations
Jared Weinstein (Boston University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Phi-gamma modules and p-adic Hodge theory
Gabriel Dospinescu (École Normale Supérieure de Lyon)