EVENT DETAILS AND ABSTRACT

Title: Arithmetic and geometric Langlands program
Speaker: Xinwen Zhu
Speaker Info: Caltech
Brief Description:
Special Note:
Abstract:

The Langlands program, proposed by Robert Langlands in 1960s, unifies many questions in number theory and representation theory, and has found significant applications to solving classical Diophantine equations. Its geometric version, formulated by Drinfeld and Laumon in 1980s, enlarges the scope of the Langlands philosophy and makes it contact with other subjects such as physics. Interestingly, in recent years, some ideas from the geometric theory also inspire and lead developments of the traditional arithmetic theory and related problems. I will give an impression of some of these recent developments.