Hitchin type moduli stacks in automorphic representation theory - Zhiwei Yun - ICM2018

Lie Theory and Generalizations | Algebraic and Complex Geometry
Invited Lecture 7.10 | 4.16
Hitchin type moduli stacks in automorphic representation theory
Zhiwei Yun
Abstract: In the study of automorphic representations over a function field, Hitchin moduli stack and its variants naturally appear and their geometry helps the comparison of trace formulae. We give a survey on applications of this observation to a relative fundamental lemma, the arithmetic fundamental lemma and to the higher Gross-Zagier formula.
© International Congress of Mathematicians - ICM
www.icm2018.org
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.