Iordan Ganev

NOTE: I have migrated the material of this page to my new math page. The material below will no longer be maintained.

Notes

This page lists expository notes on various topics in geometric representation theory. They are grouped by topic, and within each topic are roughly ordered from most accessible to most specialized.

Many of these notes are from talks given at learning seminars, summer schools, workshops, etc. They are generally informal and may contain mistakes. Use at your own risk!

Feel free to contact me with comments or corrections.

Basic representation theory

• A glimpse into geometric representation theory. Think and Drink Seminar, IST Austria, May 2019. [pdf]


• Young tableaux, symmetric polynomials, and representations. UT Austin Math Club, February 2012. [pdf]


• Representations of finite groups. Categorical representation theory workshop, University of Oregon, August 2012. [pdf]


• Real and quaternionic representations of finite groups. December 2011. [pdf]


• SU(2) as a double cover of SO(3) and related topics. December 2011. [pdf]


• An overview of Springer theory. Geometry learning seminar, UT Austin, November 2012. [pdf]


• The derived category of constructible sheaves. With Robin Walters. Summer school on quiver Hecke algebras, IESC, Corsica, June 2014. [pdf]


• Tannaka duality for affine group schemes. Candidacy Talk, September 2012. [pdf]

Character sheaves, finite groups of Lie type, etc.

• An introduction to character sheaves. Geometry learning seminar, UT Austin, October 2013. [pdf]


• Unipotent characters of finite groups of Lie type. Geomtery learning seminar, UT Austin, April 2013. [pdf]


• Lusztig's non-abelian Fourier transform. April 2019. [pdf]


• The Radon transform. May 2019. [pdf]

Quantum groups, etc.

• Quantum \(\mathfrak{sl}_2\). Algebraic geometry working seminar, IST Austria, April 2018. [pdf]


• Quantum Hamiltonian reduction. December 2013. [pdf]


• Quasi-bialgebras and associators. Workshop on quantization and formality, UT Austin, June 2014. [pdf]


• Quantum multiplicative quiver varieties at a root of unity. Mathematics and String Theory Seminar, Kavli IPMU, June 2019. [pdf]

Other topics

• Torus-valued moment maps. October 2014. [pdf]


• Equivariant Sheaves and D-modules. March 2019. [pdf]


• D-modules on \(\mathbb{C}^*\). July 2017. [pdf]


• Springer theory. Ben-Zvi Seminar, UT Austin, October 2012. [pdf]


• Deformation theory. Ben-Zvi Seminar, UT Austin, March 2013. [pdf]