BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Kenichi Shimizu (Shibaura Institute of Technology)
DTSTART:20250924T090000Z
DTEND:20250924T100000Z
DTSTAMP:20260423T035636Z
UID:EQuAL/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/43/">S
 imple algebras in Rep(uq(sl2))</a>\nby Kenichi Shimizu (Shibaura Institute
  of Technology) as part of European Quantum Algebra Lectures (EQuAL)\n\n\n
 Abstract\nThe notion of an algebra in a tensor category plays an important
  role in the theory of tensor categories and their applications. Simple al
 gebras in finite tensor categories\, much like in ordinary ring theory\, f
 orm one of the most fundamental classes of algebras. Although simple algeb
 ras are especially important in Morita theory of finite tensor categories\
 , the basic theory of simple algebras is not yet fully developed. In this 
 talk\, I will present some Morita theoretic results on module categories o
 ver finite tensor categories and explain how these results can be applied 
 to construct simple algebras with additional properties\, such as being Fr
 obenius or symmetric Frobenius. I will also present examples in the catego
 ry Rep(uq(sl2)) of modules over the small quantum sl2 at a root of unity o
 f odd order. This talk is based on joint work with Daisuke Nakamura\, Hin 
 Wan Ng and Taiki Shibata.\n
LOCATION:https://researchseminars.org/talk/EQuAL/43/
END:VEVENT
END:VCALENDAR