Student Representation theory seminar
This is a dedicated subpage for the Geometric Satake seminar. The Geometric Satake equivalence is a deep result relating the geometry of the affine Grassmannian to the representation theory of complex reductive groups.
Each week, a participant will give a talk lasting between one to one-and-a-half hours. The talks are not recorded, but notes will be uploaded to this website after each talk. All graduate students with an interest in Representation Theory (and for this semester, Algebraic Geometry) are encouraged to attend. There is no prerequisites for attending the seminar; although, basic knowledge of representation theory of finite groups, Lie algebras, and algebraic geometry is certainly helpful.
Logistics
- Class Room: Lockett 381
- Time: Fridays 1:30pm–3:00pm
- Organizers: Gurleen Nanda (gnanda1@lsu.edu) and Colton Sandvik (csandv1@lsu.edu)
- Topic: Geometric Satake
Resources
- Achar - Perverse Sheaves and Applications to Representation Theory
- Baumann, Riche - Notes on the geometric Satake equivalence
- Mirković, Vilonen - Geometric Langlands duality and representations of algebraic groups over commutative rings
Schedule
| Day | Topic | Reference | Speaker |
|---|---|---|---|
| 9/5 | Crash Course on Perverse sheaves I | A. Chs 3, 6 | Abhishek |
| 9/12 | Crash Course on Perverse sheaves II | A. Chs 3, 6 | Abhishek |
| 9/19 | Geometry of Affine Grassmannians | A. §3.1, BR §3 | Gurleen |
| 9/26 | Tensor Structures on Perv(LG\Gr) | A. §4.1, BR §6.2 | Mike |
| 10/3 | Weight Functors | A. §4.2, BR §6.2, §8 | Colton |
| 10/10 | Mirković–Vilonen Cycles | A. §6.2 | John |
| 10/24 | Tannakian Reconstruction | A. §9.2 | David |
| 10/31 | Identifying the Dual Group | BR, §9 | Gurleen |
| 11/7 | Further Topics | Up to you | John |
| 11/14 | Further Topics | Up to you | Abhishek |
| 11/21 | Further Topics | Up to you | - |
| 12/5 | Further Topics | Up to you | — |