庆祝中国科学技术大学成立六十周年-杰出校友数学论坛(左康)

发布者:系统管理员发布时间:2017-11-24浏览次数:76

 

报告人:左康教授(德国美因茨⼤大学,77级校友)
题目: New directions in Higgs bundle theory
时间:2017年11月29日下午4:00
地点:5104
Abstract: Higgs bundle originally came from Yang-Mills-Higgs theory and has been found with important applications in Algebraic  Geometry, for example, fundamental groups of algebraic manifolds, uniformization  theory and geometric Langlands program.We propose to explore the following new directions in Higgs bundle theory:Higgs bundle on moduli spaces of algebraic manifolds and hyperbolicity; Higgs bundle on moduli spaces of abelian varieties and algebraic curves and Coleman-Oort conjecture on the finiteness of Jacobians; Higgs bundle and its relation  to the motivic local system via a proposed arithmetic Simpson correspondence.

 

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