2011 NCTS International Conference on
Galois Representations, Automorphic Forms and Shimura Varieties


June 20-23, 2011


Program & Slides    Group photo    Poster
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The Langlands philosophy predicts a connection between Galois representations and automorphic forms, which vastly generalizes the class field theory. This has become a central research area in arithmetic geometry, number theory and representation theory ever since he made public his program in 1960ˇ¦s. In establishing correspondences from automorphic forms to Galois representations Shimura varieties played an essential role. The remarkable breakthrough by Wiles and Taylor in reverse direction resulted in the settlement of Fermatˇ¦s Last Theorem. Since then, tremendous progress has been made in this area in recent years, as evidenced by the resolution of Serreˇ¦s conjecture and progress on the conjectures of Artin, Sato-Tate and Fontaine-Mazur, and the proof of the fundamental lemma. Meanwhile, the study of arithmetic of modular forms for noncongruence forms is revitalized; through the attached Galois representations and Langlands philosophy, congruence relations between Fourier coefficients of noncongruence forms and those of automorphic forms can be obtained.

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The purpose of this conference is to showcase the multi-facets of Galois representations and their interconnections. Recent advances in and applications of Galois representations, automorphic forms and arithmetic of Shimura varieties, from theoretical and computational aspects, will be addressed by the invited experts.

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Invited Speakers:
Ching-Li Chai (U Penn, U.S.A.)
Chieh-Yu Chang (NCTS, Taiwan)
Kuok Fai Chao (National Sun Yat-sen Univesity, Taiwan)
Suh-Hyun Choi (KAIST, Korea)
Henri Darmon (McGill, Canada)
Ulrich Gortz (U Duisburg-Essen, Germany)
Bill Hoffman (LSU, U.S.A.)
Kai-Wen Lan (Princeton, U.S.A.)
Tong Liu (Purdue, U.S.A.)
Ling Long (Iowa State, U.S.A.)
Ravi Ramakrishna (Cornell, U.S.A.)
Ye Tian (Chinese Academy of Sciences, China)
John Voight (Vermont, U.S.A.)
Fu-Tsun Wei (National Tsing Hua University, Taiwan)
Tonghai Yang (Wisconsin, Madison, U.S.A.)
Chia-Fu Yu (Academia Sinica, Taiwan)
Jiu-Kang Yu (Purdue, U.S.A.)
Yifan Yang (National Chiao Tung University, Taiwan)


Organizers
KingFai Lai (National Sun Yet San University)
Wen-Ching W. Li (National Center for Theoretical Sciences)
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Registration:
 Registration will be started from April 1, 2011

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Sponsors:
 National Center for Theoretical Sciences, Taiwan
 National Science Foundation, USA

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Place: NCTS, 4th  Floor, The 3rd General Building , National Tsing-Hua University, Hsinchu, Taiwan.  
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Secretary:

Vickey Sun
Phone:886-3-5745254

Wendy Huang
Phone:886-3-5745255

Mathematics Division
Fax:886-3-5728161

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Practical information

 ˇPVisa: Most visitors could get landing visa or visa exemption for 30 days. For general information, see visa-info. Speakers who hold the People's Republic of China passport are requested to send their personal data (including tel number, fax number, mailing address, e- mail address and research field etc.) to secretary Wendy Huang by email at wendy@math.cts.nthu.edu.tw. It normally takes around two/three months to process the applications of Taiwanese entrance visa for applicants from the Mainland China.

 ˇPOffices: (Shared) offices will be provided to all invited speakers, with computers Windows XP.

 ˇPTourism: The link to Tourism Bureau contains maps, travel tips, attractions, etc... .