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编码密码学术活动月系列活动七

发布日期:2020-11-13点击量:

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