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QUACKS conference

Emmanuel Wagner (IMJ-PRG), Daniel Tubbenhauer (Universitat Zurich), Joshua Sussan (CUNY)

Organizer's time: 2020-08-11 08:00 America/Los_Angeles

Duration: 6 hours

Schedule at https://pages.uoregon.edu/belias/QUACKS/schedule.html

Registration at https://pages.uoregon.edu/belias/QUACKS/registration.html

Emmanuel Wagner (IMJ-PRG): Categorification of 1 and of the Alexander polynomial

Abstract: I'll give a combinatorial and down-to-earth definition of the symmetric gl(1) homology. It is a (non-trivial) link homology which categorifies the trivial link invariant (equal to 1 on every link). Then I'll explain how to use this construction to categorify the Alexander polynomial. Finally, if time permits, I will relate this construction to the Hochschild homology of Soergel bimodules (joint with L-H. Robert).

Daniel Tubbenhauer (Universitat Zurich): On categories of tilting modules

Abstract: In this talk I will report on the progress in the project of trying to understand categories of tilting modules as categories, meaning the morphisms in these categories and their relations, with the focus being on SL(2) and SL(3). This is joint work with Paul Wedrich.

Joshua Sussan (CUNY): p-DG theory and relatives of the zigzag algebra.

Abstract: The zigzag algebra is one of the simplest examples of an algebra admitting a categorical braid group action. Via deformations and Koszul duality, there are closely related algebras which also give rise to categorical braid group actions. We will describe these examples before incorporating aspects of p-DG theory into these constructions.

Submitted by: Eugene Gorsky