数学科学研究所
Insitute of Mathematical Science

Seminar: Cohomology of the moduli of vector bundles and the moduli of Higgs bundles on a Riemann surface

Seminar| Institute of Mathematical Sciences

Time: ThursdayAugust 24th, 2023 , 14:00-15:00

Location:IMS, RS408
Speaker:  Junliang Shen , Yale University

AbstractThe moduli of Higgs bundles on a curve can either be viewed as a variant of the moduli of vector bundle on a curve --- a very classical moduli space that has been studied for decades, or the non-abelian Dolbeault cohomology of the curve in view of the non-abelian Hodge theory. In this talk, I will discuss some interesting symmetries of the cohomology of the moduli of Higgs bundles that do not show up for the moduli of vector bundles. I will then explain how different viewpoints lead to completely different proofs of this statement. If time permits, I may discuss some open questions.



地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)