Title    name
2017 KAIST Math. Colloquium
 
  Title
  Speaker 선해상
  Date 2017-05-25
  Host
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.   
 
Abstract : In the talk, I discuss previous works on the arithmetic of various twisted special $ L$ values and dynamical phenomena behind them. Main emphasis will be put on the problem of estimating several exponential sums such as Kloosterman sums and its relation to the problem of non-vanishing of special $L $-values with cyclotomic twists. A distribution of homological cycles on the modular curves will also be discussed and as a consequence, some results on a conjecture of Mazur-Rubin-Stein about the distribution of period integrals of elliptic modular forms will be presented.