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Seminar
FIELD Mathematics
DATE February 22 (Thu), 2018
TIME 10:30-12:00
PLACE 1423
SPEAKER 이동욱
HOST Kim, Chan-Ho
INSTITUTE  
TITLE [GS-NT] Hasse-Weil zeta functions of modular curves: introduction to Langlands-Kottwitz-Scholze method 3
ABSTRACT

We explain P. Scholze's proof (IMRN 2010), extending the Langlands-Kottwitz method to bad reductions, of the (already estalbished) conjecture
that the Hasse-Weil zeta functions of modular curves $X(N)$ is a product of automorphic L-functions on $GL_2$. A new contribution is certain explicit computatons concerning the semi-simple trace of Frobenius on nearby cycle sheaves.

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