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Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023
Registration Deadline: March 17, 2023 12 days ago
To apply for Funding you must register by: December 13, 2022 4 months ago
Parent Program:
Location: MSRI: Simons Auditorium
Organizers Michael Harris (Columbia University), David Loeffler (University of Warwick), 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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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 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 a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates 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 "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

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

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Schedule, Notes/Handouts & Videos
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Mar 13, 2023
09:15 AM - 09:30 AM
09:30 AM - 10:30 AM
  An AFL Conjecture for the Whole Hecke Algebra
Michael Rapoport (Universität Bonn)
10:30 AM - 11:00 AM
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
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
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
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
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
03:00 PM - 03:30 PM
  Afternoon Tea
Mar 16, 2023
09:00 AM - 10:00 AM
  Zeta Morphisms for Rank Two Universal Deformations
Kentaro Nakamura (Saga University)
10:00 AM - 10:30 AM
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
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
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
Mar 17, 2023
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
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
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)