Representation Theory Seminar, UT Austin

Summer 2012

References include Toen's lectures on DG categories and the papers mentioned below.

23 May Pavel Safronov Localization and dg-categories
28 May Iordan Ganev Model categories and dg-categories (outline here)
1 June David Jordan The Witt group of non-degenerate braided fusion categories (Davydov-Mueger-Nikshych-Ostrik paper)
6 June Lee Cohn Structure of the homotopy category of dg-categories
8 June Pavel Safronov Korteweg-de Vries equation


Spring 2012

The emphasis this semester is on tensor categories and categorial representation theory. References include Bakalov and Kirillov's book on Tensor Categories and Modular Functors, Kassel's book on Quantum Groups, Bernstein's notes on D-modules, Lurie's expository article on the cobordism hypothesis, and the papers mentioned below.

23 January David Jordan Introduction to tensor categories
1 February Iordan Ganev Braided tensor categories*
8 February Lee Cohn Graphical calculus of morphisms in ribbon catgories
15 February Pavel Safronov Modular tensor catgories
22 February and 2 March David Jordan The quantum group U_q(sl_2) and its representations
7 March Iordan Ganev The Drinfeld center
20 March Lee Cohn Module categories, weak Hopf algebras, and modular invariants (Ostrik paper)*
22 March Iordan Ganev Reconstruction theory*
27 March David Jordan Representation theory for fusion categories**
28 March Pavel Safronov Module categories over representations of SL_q(2) and graphs (Etingof Ostrik paper)
4 and 6 April Hendrik Orem D-modules: basic examples and ideas, 6 functors for general sheaves, 6 functors for D-modules
18 and 20 April Pavel Safronov The cobordism hypothesis*
25 April David Ben-Zvi The character theory of a complex group (Ben-Zvi Nadler paper)
1 May Iordan Ganev Monads and the Barr-Beck theorem

*Notes available upon request.

**Given at the GADGET seminar.


Back to Iordan's homepage.