QUACKS conference
Paul Wedrich (Universitat Bonn), Nicolle Gonzalez (UCLA), Mikhail Khovanov (Columbia University)
Organizer's time: 2020-08-14 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
Paul Wedrich (Universitat Bonn): Invariants of 4-manifolds from Khovanov-Rozansky link homology
Abstract: Ribbon categories are 3-dimensional algebraic structures that control quantum link polynomials and that give rise to 3-manifold invariants known as skein modules. I will describe how to use Khovanov-Rozansky link homology, a categorification of the gl(N) quantum link polynomial, to obtain a 4-dimensional algebraic structure that gives rise to vector space-valued invariants of smooth 4-manifolds. The technical heart of this construction is the functoriality of Khovanov-Rozansky homology for links in the 3-sphere. Based on joint work with Scott Morrison and Kevin Walker.
Nicolle Gonzalez (UCLA): A skein theoretic Carlsson-Mellit algebra
Abstract: In their proof of the shuffle conjecture Carlsson and Mellit introduced an algebra, known as the algebra. In this talk I will discuss joint work with Matt Hogancamp entailing a skein-theoretic formulation of the algebra specialized at , that recovers the original algebraic formulation and provides the prime structure for categorifying its polynomial representation.
Mikhail Khovanov (Columbia University): Frobenius extensions, link homology, and foam evaluation
Abstract: We'll discuss two recent papers, one joint with Louis-Hadrien Robert, the other with Nitu Kitchloo, on a cube of Frobenius extensions, respectively, on a deformation of the Robert-Wagner evaluation.
Submitted by: Eugene Gorsky