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SUMMARY:Shashank Kanade (University of Denver)
DTSTART:20200427T203000Z
DTEND:20200427T213000Z
DTSTAMP:20260423T022807Z
UID:KSUAlgSem/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/KSUAlgSem/1/
 ">Tensor categories and vertex operator algebra extensions</a>\nby Shashan
 k Kanade (University of Denver) as part of KSU algebra seminar\n\n\nAbstra
 ct\nAbstract: There are certain fundamental constructions of building new 
 VOAs out of known ones\, namely\, extending\, orbifolding\, taking cosets\
 , quantum Hamiltonian reductions etc. Many of such constructions can be an
 alysed by considering a suitable pair of VOAs (say\, V and W)\, where one 
 is a conformally embedded into another. A basic question then is relating 
 representation categories of V and W. For this\, the language of tensor ca
 tegories is extremely useful. I'll start by explaining the theorem of Huan
 g-Kirillov-Lepowsky that relates the representation categories as abelian 
 categories. I'll then explain several theorems obtained jointly with Creut
 zig and McRae that relate (vertex) tensor structures on these representati
 on categories. Time permitting\, I'll mention applications to concrete exa
 mples.\n
LOCATION:https://researchseminars.org/talk/KSUAlgSem/1/
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