12.
Time: 9:30-11:30, Friday, January 10, 2025
Venue: E4-201
Speaker: Lifan Guan, ITS
Title: On Fourier-Mukai-Nahm transformation III
Abstract: In this talk and forthcoming talks, we continue to study Mochizuki's work on the Nahm transformation of doubly periodic instantons and the application to the Fourier-Mukai transformation of holonomic D-modules on elliptic curves.
11.
Time: 9:30-11:30, Friday, January 3, 2025
Venue: E4-201
Speaker: Lifan Guan, ITS
Title: On Fourier-Mukai-Nahm transformation II
Abstract: In this talk and forthcoming talks, we continue to study Mochizuki's work on the Nahm transformation of doubly periodic instantons and the application to the Fourier-Mukai transformation of holonomic D-modules on elliptic curves.
10.
Time: 9:30-11:30, Thursday, December 26
Venue: E4-201
Speaker: Lifan Guan, ITS
Title: On Fourier-Mukai-Nahm transformation
Abstract: In this talk and forthcoming talks, we study Mochizuki's work on the Nahm transformation of doubly periodic instantons and the application to the Fourier-Mukai transformation of holonomic D-modules on elliptic curves.
9.
Time: 9:30-11:30, Friday, December 20
Venue: E4-201
Speaker: Xin Fu, ITS
Title: Bernstein sato polynomial and V filtration
Abstract: We introduce the Berstein sato polynomial and discuss its application on the V filtration of regular holonomic D module.
8.
Time: 9:30-11:30, Friday, December 6
Venue: E4-201
Speaker: Chuanhao Wei, ITS
Title: Beilinson's gluing construction via D modules II
Abstract: We will use the pro-ind category introduced last time to constrcut the gluing and ungluing functors, and show they are mutually quasi-inverse equivalences.
7.
Time: 9:30-11:30, Friday, November 29
Venue: E4-201
Speaker: Chuanhao Wei, ITS
Title: Beilinson's gluing construction via D modules
Abstract: We will construct an equivalent category of the category of holonormic D modules, via Beilinson's construction of gluing category.
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.
