BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Tambara reconstruction and tensor categories - Mateusz Stroiński 
 (Uppsala University)
DTSTART:20240610T150000Z
DTEND:20240610T153000Z
UID:TALK217906@talks.cam.ac.uk
DESCRIPTION:For C a finite tensor category\, Ostrik gave a complete descri
 ption of C-module categories which can be reconstructed as categories of m
 odules for an algebra object A in C. In other settings\, interesting modul
 e categories can often be reconstructed as categories of modules for an al
 gebra object in a larger monoidal category into which C embeds.In this tal
 k\, I will describe the category of Tambara modules on an arbitrary monoid
 al category C and explain how it can be viewed as the universal category f
 or reconstructing algebra objects to live in. I will then present some app
 lications of the Tambara formalism\, based on ongoing joint work with Tony
  Zorman: an extension of Ostrik's theorem to non-finite tensor categories\
 , a characterization of exact module categories for finite tensor categori
 es\, and a reconstruction result for module categories over the non-rigid 
 category B-comod\, where B is a non-Hopf bialgebra.
LOCATION:External
END:VEVENT
END:VCALENDAR