BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Witt group of non-degenerate braided fusion categories
Witt group of non-degenerate braided fusion categories
Organizers
Lin Zhe Huang , Zheng Wei Liu , Sebastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
Alexei Davydov
Time
Wednesday, March 19, 2025 2:00 PM - 3:30 PM
Venue
A3-2-301
Online
Zoom 230 432 7880 (BIMSA)
Abstract
The collection of non-degenerate braided fusion categories possesses a certain equivalence relation, the so-called Witt equivalence (invertible morphisms in the higher Morita category). The set of equivalence classes form an abelian group (the Witt group). Although this group has been calculated as an abstract group (as a direct sum of cyclic groups) not much is known about its generators.