KIAS Number Theory Seminar



Hasse-Weil zeta functions of modular curves: introduction to Langlands-Kottwitz-Scholze method

Dong Uk Lee

February 20 (Tue), 2018, 10:30am-noon, Room 1423
February 20 (Tue), 2018, 2:00pm-3:30pm, Room 1424
February 22 (Thu), 2018, 10:30am-noon, Room 1423
February 22 (Thu), 2018, 2:00pm-3:30pm, Room 1423

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.



In each month, we usually meet at

  • Room 1423 or 1424,
  • 4 or 5PM, and
  • Thursdays or Fridays.

    However, there are also many exceptions. Please check the tentative schedule of upcoming seminars.

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    The first number theory seminar started March 10th, 2005 and it became a regular seminar since then. For more information on the early history of the number theory seminar, see the article (by Soon-Yi Kang in KIAS News Letter, Fall 2005) and the following archive files.

       Archive: 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 |

    Organizer:

    Chan-Ho Kim

    Research Fellow
    Korea Institute for Advanced Study (KIAS)
    85 Hoegiro,  Dongdaemun-gu, Seoul 130-722,
    Republic of Korea
    Tel: +82-2-958-3722, Fax: +82-2-958-3786
    Email: chanho at kias.re.kr

    Number Theory Group at KIAS:
    (email: +@kias.re.kr)

    Choi, Youn-Seo (y-choi2)
    Park, Chol (cpark)
    Kim, Eunmi (ekim)
    Kim, Chan-Ho (chanho)
    Kim, Kwang-Seob (kwang12)
    Kim, Wansu (wansukim)
    Lee, Chulhee (chlee)
    Ha, Junsoo (junsooha)
    Haan, Jae-ho (jaehohaan)

    (*) The picture is originally a PGF created by Jang Soo Kim and is under the creative commons licence.