Workshops

Workshop on Arithmetic Geometry and Related Topics

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July 12 - July 16, 2010 
101 , Mathematics Research Center Building (ori. New Math. Bldg.)



    In recent years, we have witnessed rapid developments in arithmetic geometry and its interactions with several related topics. The aim of this workshop is to gather researchers around the world (especially young ones), to improve our understanding on subjects of shared interests, and to facilitate exchanges of ideas that might inspire fruitful progresses in the long run. Students and postdoctoral researchers are particularly encouraged to attend.

Invited Speakers

Laurent Fargues ( Centre National de la Recherche Scientifique, France )

David Geraghty ( Princeton University, USA & Institute for Advanced Study, USA )
Florian Herzig ( Northwestern University, USA )
Ming-Lun Hsieh (謝銘倫) ( Department of Mathematics, National Taiwan University )
Atsushi Ichino (市野篤史) ( Osaka City University, Japan )
Tetsushi Ito (伊藤哲史) ( Kyoto University, Japan )
Kai-Wen Lan (藍凱文) ( Princeton University, USA & Institute for Advanced Study, USA )
Ruochuan Liu (劉若川) ( Institute for Advanced Study, USA )
Yoichi Mieda (三枝洋一) ( Kyushu University, Japan )
Sophie Morel ( Harvard University, USA )
Jonathan Pottharst ( Boston University, USA )
Sug Woo Shin (申皙宇) ( University of Chicago, USA )
Claus Sørensen ( Princeton University, USA )
Yichao Tian ( Princeton University, USA & Institute for Advanced Study, USA )
Teruyoshi Yoshida (吉田輝義) ( Cambridge University, UK )
Chia-Fu Yu (余家富) ( Academia Sinica )
Jing Yu (于靖)  ( Department of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences )
Xinyi Yuan (于如岡) ( Harvard University, USA )
Zhiwei Yun (惲之瑋) ( Massachusetts Institute of Technology, USA )
Organizers

Ming-Lun Hsieh  (謝銘倫) ( Department of Mathematics, National Taiwan University )

Kai-Wen Lan (藍凱文) ( Princeton University, USA & Institute for Advanced Study, USA )
Jeng-Daw Yu (余正道) ( Department of Mathematics, National Taiwan University )
SponsorsTaida Institute for Mathematical Sciences ( TIMS )
Department of Mathematics, Natioanl Taiwan University
Contact Information: If you have any question, please email tassist3@math.ntu.edu.tw
Program 
7/12 (Mon) 
9:00 ~10:20Welcome!Registration: 7/12 (Mon), 10:00, first floor of New Math Building
10:40 ~ 12:00Jing Yu  On algebraic independence of special zeta values in positive characteristic
14:00 ~ 15:20David Geraghty  Potential automorphy for compatible systems of l-adic Galois representations
15:40 ~ 17:00Atsushi Ichino  On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for GL(n)
7/13 (Tue)
9:00 ~10:20Chia-Fu Yu  Kottwitz-Rapoport strata on Hilbert-Blumenthal moduli spaces with parahoric level structure
10:40 ~ 12:00Florian Herzig  Explicit Serre weight conjectures
14:00 ~ 15:20Tetsushi Ito  On the order of vanishing of automorphic L-functions for GL(2) over global fields at the center of functional equation
15:40 ~ 17:00Ming-Lun Hsieh  On the vanishing of the μ-invariant of anticyclotomic p-adic L-functions for CM fields
7/14 (Wed)
9:00 ~10:20Sophie Morel  Combinatorial problems arising in the application of the trace formula to Shimura varieties
10:40 ~ 12:00Kai-Wen Lan  Vanishing theorems for torsion automorphic sheaves
14:00 ~ 15:20Yoichi Mieda  Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)
15:40 ~ 17:00Ruochuan Liu  Locally analytic vectors of unitary principal series of GL2(Qp)
7/15 (Thu)
9:00 ~10:20Laurent Fargues  Curves and vector bundles in p-adic Hodge theory
10:40 ~ 12:00Zhiwei Yun  Towards an arithmetic fundamental lemma
14:00 ~ 15:20Vincent Pilloni  Geometric overconvergent modular forms
15:40 ~ 17:00Teruyoshi Yoshida  The Lubin-Tate space and affine Hecke algebra
7/16 (Fri) 
9:00 ~10:20Sug Woo Shin  A remark on the cohomology of some unitary Shimura varieties
10:40 ~ 12:00Jonathan Pottharst  Iwasawa theory of modular forms at nonordinary primes
14:00 ~ 15:20Claus Sørensen  Weight-raising without Hasse invariants
15:40 ~ 17:00Jiu-Kang Yu  Invariant theory of theta-groups, Weyl group elements, and supercuspidal representaitons