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发表时间:2019-07-12 阅读次数:260次
报告题目: PERVERSE SHEAVES, THE KATZ-KLEMM-VAFA FORMULA, AND THE P=W CONJECTURE
报 告 人:Dr. Junliang Shen
报告人所在单位:MIT
报告日期:2019-07-12 星期五
报告时间:15:30-16:30
报告地点:Room 406, SCMS, Jiangwan Campus
  
报告摘要:

Perverse sheaves and their associated invariants appear naturally in the study of certain abelian fibrations. A striking example is the P=W conjecture by de Cataldo, Hausel, and Migliorini connecting the topology of Hitchin systems and Hodge theory of character varieties via non-abelian Hodge theory. I will discuss recent progress on the P=W conjecture including a proof for the case of genus 2 and arbitrary rank, as well as connections to enumerative geometry for K3 surfaces and topology of hyperkaehler manifolds. Based on joint work with Qizheng Yin, and joint work in progress with Mark de Cataldo and Davesh Maulik.

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本年度学院报告总序号:158

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