Speaker:  Professor Jing Long ( University of Arizona )

 

Time: 4:oopm – 5:00pm, June 22, 2010 ( Tuesday )

At room 211, department of Mathematics, building 2

 

Title:

Class numbers and Bernoulli numbers

 

Abstract:

This talk will concern the divisibility of class numbers and their relation with Bernoulli

numbers for function fields of positive characteristic. In number fields, the

Herbrand-Ribet theorem gives a precise relation between the divisibility of class

numbers and Bernoulli numbers. In function fields, the Herbrand's direction has been

proven to be true, but the other direction has obvious counter-examples. Gekeler

reformulated a conjecture similar to Ribet's theorem. This talk will report some recent progress towards the Gekeler's conjecture.

转载本文请联系原作者获取授权，同时请注明本文来自数论研究科学网博客。
链接地址：https://blog.sciencenet.cn/blog-378289-336518.html

上一篇：2010-06-17 纪念华罗庚百年诞辰数学论坛
下一篇：2010-06-18 Chieh-Yu Chang, Special values of Drinfeld modular forms and algebrai