3d mirror symmetry of braided tensor categories

A Ballin, T Creutzig, T Dimofte, W Niu - arXiv preprint arXiv:2304.11001, 2023 - arxiv.org
We study the braided tensor structure of line operators in the topological A and B twists of
abelian 3d $\mathcal {N}= 4$ gauge theories, as accessed via boundary vertex operator …

[HTML][HTML] Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories

C Schweigert, L Woike - Advances in Mathematics, 2023 - Elsevier
It is easy to find algebras T∈ C in a finite tensor category C that naturally come with a lift to a
braided commutative algebra T∈ Z (C) in the Drinfeld center of C. In fact, any finite tensor …

Support theory for the small quantum group and the Springer resolution

C Negron, J Pevtsova - arXiv preprint arXiv:2203.10764, 2022 - arxiv.org
We consider the small quantum group u_q (G), for an almost-simple algebraic group G over
the complex numbers and a root of unity q of sufficiently large order. We show that the …

Brackets and products from centres in extension categories

D Fiorenza, N Kowalzig - Advances in Mathematics, 2024 - Elsevier
Building on Retakh's approach to Ext groups through categories of extensions, Schwede
reobtained the well-known Gerstenhaber algebra structure on Ext groups over bimodules of …

[PDF][PDF] SUPPORT THEORY FOR THE SMALL QUANTUM GROUP VIA THE SPRINGER RESOLUTION

C NEGRON, J PEVTSOVA - 2022 - dornsife.usc.edu
We consider the small quantum group u (Gq), for an almost-simple algebraic group G over
the complex numbers and a root of unity q of sufficiently large order. We show that the …

Mini-Workshop: Recent Developments in Representation Theory and Mathematical Physics

T Dimofte, T Heidersdorf, C Stroppel - Oberwolfach Reports, 2023 - ems.press
This mini-workshop was devoted to foster the interactions between mathematicians and
mathematical physicists who are working on questions related to representation theory. This …