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SUMMARY:Mateusz Stroinski [MPIM]
DTSTART:20261117T100000Z
DTEND:20261117T110000Z
DTSTAMP:20261112T153900Z
UID:indico-event-1780@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mateusz Stroinski (Universität Hamburg)\n\nAbstract
  Homotopy Theory Seminar\nFinite tensor (1-)categories are monoidal catego
 ries which generalize categories of modules over finite-dimensional Hopf a
 lgebras\, e.g. group algebras. Beyond representation theory\, they are use
 ful in the construction of 3-dimensional topological field theories. Towar
 ds 4D TFTs\, Douglas and Reutter introduced fusion 2-categories\, which ar
 e the "semisimple categorification" of finite tensor categories. In this t
 alk\, I will introduce a non-semisimple generalization and some early resu
 lts about them. In concrete terms\, the main result on which we build our 
 theory is a characterization of 2-categories of module categories over ten
 sor (1-)categories - this relies on combining some representation theory o
 f finite-dimensional algebras with the results of Street and Garner--Shulm
 an which characterize enriched profunctors as a free cocompletion.\n\nhttp
 s://math-events.uni-bonn.de/event/1780/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1780/
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