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Mathematics Conferences KIAS Intensive Lecture Series on Shimura varieties and Rapoport-Zink spaces
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Introduction to Langlands-Rapoport conjecture(Survey Talk 1)
SPEAKER  |  Dong Uk Lee
INSTITUTE  |  IBS
DATE  |  January 13(Mon), 2014
TIME  |  14:30
PLACE  |  1503 Conference room, KIAS
Keyword  |  
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ABSTRACT  |  The Langlands-Rapoport conjecture, which was recently confirmed by M. Kisin, provides a group-theoretic description of the set of the points over finite fields of a (good) reduction of Shimura variety. It is an important big step in the Langlands program of expressing the Hasse-Weil L-function of a Shimura variety in terms of automorphic L-functions. In this survey, we introduce the conjecture and illustrate it in the modular curve case.
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