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제목 [2019/01/09] Dr. Min Lee (University of Bristol, UK)
작성자 관리자 등록일 2019-01-03 조회수 105

Speaker : Dr. Min Lee (University of Bristol, UK)

Date : Jan. 09, 2019 (Wed.) 

Time : 14:00 - 15:00 

Place :  AORC seminar room

Title: Effective equidistribution of rational points on expanding horospheres

Abstract:

  The main purpose of this talk is to provide an effective version of a result due to Einsiedler, Mozes, Shah and Shapira, on the equidistribution of primitive rational points on expanding horospheres in the space of unimodular lattices in at least 3 dimensions. Their proof uses techniques from homogeneous dynamics and relies in particular on measure-classification theorems due to Ratner. Instead, we pursue an alternative strategy based on spectral theory, Fourier analysis and Weil’s bound for Kloosterman sums which yields an effective estimate on the rate of convergence in the space of (d+1)-dimensional Euclidean lattices with d>1. This extends my work with J. Marklof, on the 3-dimensional case (2017). This is a joint work with D. El-Baz and B. Huang.

Seminar & Colloquium 게시판의 이전글 다음글
이전글 [2019/01/07-11] Seminars and Talks of this week
다음글 [2019/01/04]Prof. Yeonjong Shin (Brown University)
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