Tom Gannon

The BzR Seminar

Spring 2021 / Fall 2020 / Spring 2019

This is the website for the slightly bizarre grad student seminar at UT Austin, on an assortement of topics such as: derived algebraic geometry, representation theory, geometric Langlands, QFT, and other related topics. It is run by its namesakes: David Ben-Zvi and Sam Raskin--the BZ and R of the BzR seminar! This semester, it is organized by Tom Gannon and Kendric Schefers.

The topic of the 2020 Fall Semester's BzR Seminar will be Soergel Bimodules and their relationship to representation theory. We will be meeting on Zoom.

The Slack - If you are a UT student, email me for an invite!

Tentative Schedule/Topic Suggestions

Date	Tentative Topic	Speakers
9/25	Overview and Organizational Meeting	David Ben-Zvi and Sam Raskin
10/2	Derived Categories and Projective Objects	Desmond Coles
10/9	D-Modules and the Functors Between Them	Saad Slaoui
10/16	Fundamentals of Representations of Reductive Groups	Ben Nativi
10/23	Category O and Beilinson-Bernstein Localizaiton	Joakim Færgeman
10/30-11/6	Tilting Exercises	Kendric Schefers/Zhou Fang/Tom Gannon
11/13-11/20	Endomorphismensatz, Translation Functors, and Proof	Alberto San Miguel Malaney/Jackson Van Dyke
12/4	Koszul Duality Patterns in Representation Theory	Leon Liu

References

Main Papers

• Tilting Exercises
• Wall Crossing Functors and D-Modules
• Parity Sheaves and The Hecke Category
• Koszul Duality Patterns in Representation Theory

Other References

• k-Schur functions and affine Schubert calculus - An Introduction to the Nil-Hecke Algebra

Previous Soergel Bimodule Seminars

• Soergel Bimodules and Representation Theory - University of Sydney
• Graduate Seminar on Category O and Soergel bimodules - Yale University

D-Modules

• D-Modules - Schnell
• D-Modules - Elliot
• D-Modules, Perverse Sheaves, and Representation Theory - Hotta, Takeuchi, Tanisaki