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BEGIN:VEVENT
SUMMARY:Shashank Kanade (University of Denver)
DTSTART:20200427T203000Z
DTEND:20200427T213000Z
DTSTAMP:20260404T111216Z
UID:KSUAlgSem/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/KSUAl
 gSem/1/">Tensor categories and vertex operator algebra extensions</a>\nby 
 Shashank Kanade (University of Denver) as part of KSU algebra seminar\n\n\
 nAbstract\nAbstract: There are certain fundamental constructions of buildi
 ng new VOAs out of known ones\, namely\, extending\, orbifolding\, taking 
 cosets\, quantum Hamiltonian reductions etc. Many of such constructions ca
 n be analysed by considering a suitable pair of VOAs (say\, V and W)\, whe
 re one is a conformally embedded into another. A basic question then is re
 lating representation categories of V and W. For this\, the language of te
 nsor categories is extremely useful. I'll start by explaining the theorem 
 of Huang-Kirillov-Lepowsky that relates the representation categories as a
 belian categories. I'll then explain several theorems obtained jointly wit
 h Creutzig and McRae that relate (vertex) tensor structures on these repre
 sentation categories. Time permitting\, I'll mention applications to concr
 ete examples.\n
LOCATION:https://stable.researchseminars.org/talk/KSUAlgSem/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yunfeng Jiang (University of Kansas)
DTSTART:20200413T203000Z
DTEND:20200413T213000Z
DTSTAMP:20260404T111216Z
UID:KSUAlgSem/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/KSUAl
 gSem/2/">Twisted Vafa-Witten invariants and the S-duality conjecture</a>\n
 by Yunfeng Jiang (University of Kansas) as part of KSU algebra seminar\n\n
 Abstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/KSUAlgSem/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yunfeng Jiang (University of Kansas)
DTSTART:20200420T203000Z
DTEND:20200420T213000Z
DTSTAMP:20260404T111216Z
UID:KSUAlgSem/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/KSUAl
 gSem/3/">Twisted Vafa-Witten invariants and the S-duality conjecture II</a
 >\nby Yunfeng Jiang (University of Kansas) as part of KSU algebra seminar\
 n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/KSUAlgSem/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiuzu Hong (University of North Carolina at Chapel Hill)
DTSTART:20200504T203000Z
DTEND:20200504T213000Z
DTSTAMP:20260404T111216Z
UID:KSUAlgSem/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/KSUAl
 gSem/4/">Conformal blocks for Galois covers of algebraic curves</a>\nby Ji
 uzu Hong (University of North Carolina at Chapel Hill) as part of KSU alge
 bra seminar\n\n\nAbstract\nThe theory of conformal blocks is important in 
 2d rational conformal field theory. It is defined via Wess-Zumino-Witten m
 odel.  It is related to the geometry of moduli space of algebraic curves. 
 Moreover\, conformal blocks can be identified with generalized theta funct
 ions on the moduli stack of principle G-bundles. In this talk\, I will tal
 k about a twisted theory of conformal blocks attached to Galois covers of 
 algebraic curves\, where twisted Kac-Moody algebra will play key roles. Mo
 re precisely\, I will explain the propagation and factorization properties
 \, and locally freeness of the sheaf of twisted conformal blocks on the Hu
 rwitz stack of stable Galois covers of algebraic curves. This talk is base
 d on the joint work with Shrawan Kumar.\n
LOCATION:https://stable.researchseminars.org/talk/KSUAlgSem/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiuzu Hong (University of North Carolina Chapel Hill)
DTSTART:20200518T203000Z
DTEND:20200518T213000Z
DTSTAMP:20260404T111216Z
UID:KSUAlgSem/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/KSUAl
 gSem/5/">The generalized theta functions on the moduli stack of torsors ov
 er parahoric group schemes</a>\nby Jiuzu Hong (University of North Carolin
 a Chapel Hill) as part of KSU algebra seminar\n\n\nAbstract\nThe theory of
  conformal blocks is important in 2d rational conformal field theory. It i
 s defined via WZW model.  It is related to the geometry of moduli space of
  algebraic curves. Moreover\, conformal blocks can be identified with gene
 ralized theta functions on the moduli stack of principle G-bundles.\n\nIn 
 the previous talk\, I explained the generalization of the work of Tsuchiya
 -Ueno-Yamada in a twisted setting. In this talk\, I will continue to expla
 in the identification between twisted conformal blocks and the generalized
  theta functions on the moduli stack of torsors over parahoric group schem
 es arising from Galois cover of curves. This talk will be based on the joi
 nt work with Shrawan Kumar.\n
LOCATION:https://stable.researchseminars.org/talk/KSUAlgSem/5/
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