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Analytic aspects of Hodge theory

2024-11-18 10:15:39
报告人 时间 9:30-11:30
地点 E4-201 2024
月日 11-22

6.

Time: 9:30-11:30, Friday, November 22

Venue: E4-201

Speaker: Lifan Guan, ITS

Title: On the weight two phenomenon in nonabelian Hodge theory II

Abstract: In this talk we continue to study Simpson's work on weight two phenomenon for the moduli space of local systems on open varieties.


5.

Time: 9:30-11:30, Friday, November 15

Venue: E4-201

Speaker: Lifan Guan, ITS

Title: On the weight two phenomenon in nonabelian Hodge theory

Abstract: In this talk we study Simpson's work on weight two phenomenon for the moduli space of local systems on open varieties.


4.

Time: 9:30-11:30, Friday, November 8

Venue: E4-201

Speaker: Xin FU, ITS

Title: Nilpotent orbit theorem of complex variation of hodge structure II

Abstract: We continue discussing Sabbah-Schnell's approach to nilpotent orbit theorem of CVHS. This approach starts with Simpson's norm estimate for higgs fields. The other two ingredients are L2 theory and ODE with regular singularity.


3.

Time: 9:30-11:30, Friday, November 1

Venue: E4-201

Speaker: Xin FU, ITS

Title: Nilpotent orbit theorem of complex variation of hodge structure

Abstract: We discuss Sabbah-Schnell's approach to nilpotent orbit theorem of CVHS. This approach starts with Simpson's norm estimate for higgs fields. The other two ingredients are L2 theory and ODE with regular singularity.


2.

Time: 13:00-15:00, Tuesday, October 22

Venue: E4-201

Speaker: Xin FU, ITS

Title: Hodge strucutre with degenerating coefficient after Zucker

Abstract: Consider a local system from a geometric setting on a punctured Riemann surface, we discuss how to associate a functorial hodge strucutre to such data.


1.

Time: 15:00-17:00, Tuesday, October 15

Venue: E4-201

Speaker: Xin FU, ITS

Title: Limits of hodge structure

Abstract: Consdier an one parameter family of variety f: x to y. There is a natrual VHS on the smooth locus of map f, we dicuss how to construct a mixed hodge structure as a limit of VHS after streenbrink.