Home /  Shimura Varieties and L-Functions

Workshop

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023
Registration Deadline: March 31, 2023 over 1 year ago
To apply for Funding you must register by: December 13, 2022 over 1 year ago
Parent Program:
Location: SLMath: Eisenbud Auditorium
Organizers Michael Harris (Columbia University), David Loeffler (UniDistance Suisse), Elena Mantovan (California Institute of Technology), Christopher Skinner (Princeton University), Sarah Zerbes (ETH Zürich), LEAD Wei Zhang (Massachusetts Institute of Technology)
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Description
Picture
Some Gaussian periods for the 29,070-th cyclotomic extension. Image credit: E. Eischen, based on earlier work by W. Duke, S. R. Garcia, T. Hyde, and R. Lutz
The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms. For details on the image, see http://www.elleneischen.com/gaussianperiods.html.  
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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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Mar 13, 2023
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  An AFL Conjecture for the Whole Hecke Algebra
Michael Rapoport (Universität Bonn)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Diagonal Classes and the Birch and Swinnerton-Dyer Conjecture
Massimo Bertolini (Universität Duisburg-Essen)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Arithmetic Theta Kernel and Liftings
Tonghai Yang (University of Wisconsin-Madison)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Kudla-Rapoport Conjecture for Krämer Models
Chao Li (Columbia University)
Mar 14, 2023
Tuesday
09:30 AM - 10:30 AM
  On the Modularity of Elliptic Curves Over Imaginary Quadratic Fields
Ana Caraiani (Imperial College, London)
03:30 PM - 04:30 PM
  Level Raising via Unitary Shimura Varieties with Good Reduction and an Ihara Lemma
Yifeng Liu (Zhejiang University)
Mar 15, 2023
Wednesday
09:00 AM - 10:00 AM
  On Quadratic Twists of Elliptic Curves
Ye Tian (Academy of Mathematics and Systems Science)
10:00 AM - 10:30 AM
  Break + Conference Photo
10:30 AM - 11:30 AM
  Irrationality of 2-Adic Zeta 5
Yunqing Tang (University of California, Berkeley)
11:30 AM - 11:45 AM
  Break
11:45 AM - 12:45 PM
  Modularity of Higher Theta Series for Function Fields
Zhiwei Yun (Massachusetts Institute of Technology)
12:45 PM - 02:00 PM
  Lunch
03:00 PM - 03:30 PM
  Afternoon Tea
Mar 16, 2023
Thursday
09:00 AM - 10:00 AM
  Zeta Morphisms for Rank Two Universal Deformations
Kentaro Nakamura (Saga University)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:45 AM
  Mazur's Main Conjecture at Eisenstein Primes
Giada Grossi (Université de Paris XIII (Paris-Nord))
11:45 AM - 11:50 AM
  Break
11:50 AM - 12:50 PM
  Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Yihang Zhu (University of Maryland)
12:50 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Semisimplicity of Etale Cohomology of Some Shimura Varieties
Si Ying Lee (Max-Planck-Institut für Mathematik)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Exceptional Theta Functions
Aaron Pollack (University of California, San Diego)
04:30 PM - 06:20 PM
  Reception
Mar 17, 2023
Friday
09:30 AM - 10:30 AM
  Algebraic and P-Adic Aspects of L-Functions, with a View toward Spin L-Functions for GSp_6
Ellen Eischen (University of Oregon)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  P-Adic L-Functions for Finite-Slope Families on Symplectic and Unitary Groups
Zheng Liu (University of California, Santa Barbara)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Period Relations for Arithmetic Automorphic Periods on Unitary Groups
Jie Lin (Universität Duisburg-Essen)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Gan-Gross-Prasad Cycles and Derivatives of P-Adic L-Functions
Daniel Disegni (Ben Gurion University of the Negev)