Zhongguancun Number Theory Colloquium

Time：

Fri.,15:00-17:30, Oct. 25, 2024

Venue：

Lecture Hall, Jiayibing Building, Jingchunyuan 82, BICMR

Speaker：

15:00-16:00 Yiwen Ding (Peking University)

Title：

Hodge filtration and p-adic Langlands programme

Abstract：

A basic problem in p-adic Langlands programme is to find the information of Hodge filtration in p-adic automorphic representations. In the talk, we will discuss some results, conjectures and speculations towards the problem.

Speaker：

16:30-17:30 Ping Xi (Xi'an Jiaotong University)

Title：

Exponential/character sums in analytic number theory

Abstract：

Applications of Fourier analysis to number theory create exponential and character sums. Estimates for such sums turn out to be very crucial in analytic number theory. We would like to show how the deep works of Weil, Deligne, Laumon, Katz, et al can be adapted to deal with such (incomplete) sums.