学术报告：11月22号10:00-11:00，陕西师范大学--刘杭

报告人

刘杭

单位

陕西师范大学

报告题目

On the K2 group of algebraic   curves and Beilinson’s conjecture

报告时间

2019年11月22日上午10:00-11:00

地点

四牌楼校区逸夫建筑馆1502

邀请人

杨森

报告摘要

The Beilinson’s conjecture   is one of the most important conjectures in K-theory and establishes very far   reaching relations between algebraic K-theory and the value of L-function at   integers of projective algebraic variety over number fields.

We explain the Beilinson’s   conjecture on K2 of curves. Then we construct families of smooth, proper,   algebraic curves in characteristic 0, of arbitrary genus g, together   with g elements in K2. We show that those elements are in general   independent by a limit calculation of the regulator. Working over a number   field, we show that in some of those families the elements are integral.

报告人简介

刘杭, 陕西师范大学讲师，2015年博士毕业于中国科学院大学，主要从事代数K-理论和数论的研究。研究工作发表在IMRN，Journal of Pure and Applied Algebra,，Proceedings of AMS等国际学术期刊。