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ASARC
    학술회의명   l  제3회 정수론 Festival
    개 최 기 간   l  2014-02-22 ~ 2014-02-22
    개 최 장 소   l  KAIST E6-1 #1501
    분        야   l  정수론
    주   최   자   l  구자경
    참 가 국 수   l  1
    다운로드    l 1392167215_0.521721.hwp  
제 3회 정수론 Festival

 
날짜: 2014. 2. 22(토) 
 
장소: KAIST 자연과학동 1501호


 
스케줄: 

11:00 ~ 11:50 선해상 교수 (충북대)
Continued fraction and distribution of modular symbols        

12:00 ~ 14:00 점심      

14:00 ~ 14:50 정준혁 박사 (KAIST)
Lindelöf hypothesis on average for triple product L-functions and its application

15:00 ~ 15:50 최영주 교수 (포항공대)
Schubert Eisenstein Series 

16:00 ~ 16:50 명성 교수 (인하대)
Overview of Bloch-Kato conjecture

17:30 ~ 20:00 만찬 (호텔리베라 르소매 ; 리베라 호텔 지하 1층)



초 록

Speaker : 선해상
Title : Continued fraction and distribution of modular symbols  
Abstract : We begin the talk by introducing the problem of distribution of modular symbols in the homology group of modular curves X_0(N). After the introduction, we present how to relate the problem to a study on the denominators of convergents of continued fractions. This is a research in progress and numerical evidences related to this problem are also to be presented. 


Speaker : 정준혁
Title: Lindelof Hypothesis on average for triple product L-functions and its application
Abstract: I'll first discuss how one can relate shifted convolution sums of Fourier coefficients of Maass forms to the special values of L-functions. Then I'll sketch proof of an average statement for Lindelof Hypothesis using Kuznetsov trace formula. This has applications in Quantitative Quantum Ergodicity and various L^p restriction estimates of Maass-Hecke cusp forms. In the end, I'll present a stronger lower bound for the number of nodal domains than that is given in Ghosh-Sarnak-Reznikov's recent paper, for almost all Maass Hecke cusp forms.
  
Speaker : 최영주
Titile: SCHUBERT EISENSTEIN SERIES
Abstract: We introduce Schubert Eisenstein series as sums like usual Eisenstein series but with the summation restricted to elements of a particular Schubert cell, indexed by an element of the Weyl group. They are generally not fully automorphic, but still have functional equations. We explain some results and methods for  which was done jointly with D. Bump and further progress.

Speaker : 명성
Title: Overview of Bloch-Kato conjecture Abstract: In this talk, we briefly explain the motivic Bloch-Kato conjecture and its proof by Voevodsky and Rost. Bloch-Kato conjecture is a generalization of the Milnor's conjecture which was proved earlier by Voevodsky.  

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