报告人：李琼玲 南开大学陈省身数学研究所

时间：10月31日19：30

地点：二教2306

题目：An introduction to the non-Abelian Hodge correspondence

摘要：Many of the most beautiful discoveries in modern geometry arise from correspondences—deep relationships between seemingly different mathematical worlds. The Non-Abelian Hodge correspondence unites the topology of surface group representations, the differential geometry of harmonic maps and minimal surfaces, and the algebraic geometry of Higgs bundles. Beginning with familiar ideas such as minimal surfaces and energy minimization, we will explore how these concepts come together in this correspondence and how they open the door to modern topics including higher Teichmüller theory.