Joint Yale-Columbia representation theory seminar: Springer theory (Fall 2022)

This is a joint seminar between Yale and Columbia grad students. Some of the meetings will be in person (at Yale or Columbia), and the rest will be on zoom. You can find the schedule below.

This is a learning seminar on Springer Theory. The plan is to cover chapters 1-6 in Chriss and Ginzburg's book, following the outline below.

Outline of the seminar.

Talks will roughly be 2 hours long including a break in the middle. In-person talks will be followed by an exercise session.

Schedule

References: [CG]
Fri Sep 9 Yaochen Wu
Symplectic Geometry

1.1-1.5 in [CG]

Notes
Recording
Fri Sep 16 Mengwei Hu
Borel-Moore homology

2.6 in [CG]

Notes
Recording
In-person (Columbia) Sat Sep 24 Alvaro Martinez
Semisimple algebraic flag varties and the nilpotent cone

3.1 and 3.2 in [CG]

Notes
Recording
Fri Sep 30 Xuan Trung Vu
Steinberg variety

3.3 in [CG]

Notes
Recording
Fri Oct 7 Misha Goltsblat
Convolution in Borel Moore homology

2.7 in [CG]

Notes
Recording
In-person (Yale) Sat Oct 15 Xuan Trung Vu
Steinberg vatiety and lagrangian constructions of Weyl group

3.3-3.4 in [CG]

Notes
Recording
Fri Oct 21 Fan Zhou
Representation of Weyl groups from geometric aspects

3.5-3.6 in [CG]

Notes
Recording
Fri Oct 28 Do Kien Hoang
Basics in equivariant K-theory and theorems in use

5 in [CG]

Notes
Recording
In-person (Columbia) Sat Nov 5 Do Kien Hoang
Basics in equivariant K-theory and theorems in use (continued)

5 in [CG]

Notes
Recording
Fri Nov 11 Yaochen Wu
Equivariant K-groups of the flag varieties and the Steinberg varieties

6.1-6.2 in [CG]

Notes
Recording
Fri Nov 18 TBD
TBD

TBD

Notes
Recording
In-person (Yale) Sat Dec 3 TBD
TBD

TBD

Notes
Recording