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Home » Hot Topics: Recent progress in Langlands Program

Workshop

Hot Topics: Recent progress in Langlands Program April 08, 2019 - April 12, 2019
Registration Deadline: April 26, 2019 8 months ago
To apply for Funding you must register by: December 17, 2018 12 months ago
Parent Program: --
Series: Hot Topic, Hot Topic
Location: MSRI: Simons Auditorium, Atrium
Organizers Mark Kisin (Harvard University), Elena Mantovan (California Institute of Technology), LEAD Xinwen Zhu (California Institute of Technology)
Speaker(s)

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Description
The purpose of the workshop is to explain Vincent Lafforgue's ground breaking work, constructing the automorphic to Galois direction of the Langlands correspondence for function fields. There will also be a number of talks on more recent developments and related results.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Langlands correspondence

  • geometric Satake

  • moduli of Shtuaks

Primary Mathematics Subject Classification
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 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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Schedule, Notes/Handouts & Videos
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Apr 08, 2019
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Overview
Xinwen Zhu (California Institute of Technology)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Moduli of Shtukas (Part I)
Jared Weinstein (Boston University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Moduli of Shtukas (Part II)
Jared Weinstein (Boston University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Geometric Satake
Robert Cass (Harvard University)
Apr 09, 2019
Tuesday
09:30 AM - 10:30 AM
  Cohomology of moduli of Shtukas
Sophie Morel (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Finiteness of Cohomology of moduli of Shtukas
Cong XUE (Center for Mathematical Sciences)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Specialization to the diagonal (Part I)
Zhiwei Yun (Massachusetts Institute of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Specialization to the diagonal (Part II)
Zhiwei Yun (Massachusetts Institute of Technology)
04:30 PM - 06:20 PM
  Reception
Apr 10, 2019
Wednesday
09:00 AM - 10:00 AM
  Drinfeld's Lemma
Charlotte Chan (Princeton University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Moduli of representations and Global Langlands parameterization Part I
Ana Caraiani (Imperial College, London)
11:30 AM - 11:45 AM
  Break
11:45 AM - 12:45 PM
  Moduli of representations and Global Langlands parameterization Part II
Ana Caraiani (Imperial College, London)
Apr 11, 2019
Thursday
09:30 AM - 10:30 AM
  Categorical traces in Representation theory
David Nadler (University of California, Berkeley)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Moduli of restricted Shtukas and category of sheaves on it Part I
Sam Raskin (University of Texas, Austin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Moduli of restricted Shtukas and category of sheaves on it Part II
Sam Raskin (University of Texas, Austin)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Nearby cycles over general bases
Weizhe Zheng (Academy of Mathematics and Systems Science; Princeton University)
Apr 12, 2019
Friday
09:30 AM - 10:30 AM
  Local Langlands parameterization and local-global compatibility (Part I)
Xinwen Zhu (California Institute of Technology)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Local Langlands parameterization and local-global compatibility (Part II)
Xinwen Zhu (California Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Potential automorphy of \hat{G}-local systems
Jack Thorne (Center for Mathematical Sciences)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Drinfeld's work on the pro-semisimple completion of the fundamental group of a smooth variety over a finite field
Stefan Patrikis (University of Utah)