报告题目：Complete symmetric polynomials over finite fields have many rational zeros

报告人：万大庆教授（美国加州大学欧文分校）

报告时间：2020年11月18日 上午9:00-10:00

摘要：The MDS conjecture in coding theory implies the following striking arithmetic consequence: over any finite field of q elements, any hypersurface of dimension n at least three defined by a complete symmetric polynomial of degree at most q-3 must have at least 24q^{n-3} rational points. In this talk, we shall give a simple and unconditional proof of this consequence for all q. This is joint work with Jun Zhang.

报告题目：Refined Spectral Halo Conjecture

报告人：肖梁教授（北京大学）

报告时间：2020年11月18日 上午10:10-11:10

摘要：In this talk, I will explain a joint work in progress with Bin Zhao, on a refined version of spectral halo conjecture. This conjecture concerns p-adic valuations of U_p-operator acting on modular forms with a p-power level and a nebentypus character with p-power conductor. Our work gives an explicit formula for all possible slopes appearing for such modular forms. This refines earlier joint work with Ruochuan Liu and Daqing Wan.

腾讯会议号：636 948 651

联系人：方江学、张俊

主办单位：万博体育max手机登陆app-手机版下载、数学科学学院