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UID:eb70d08a120f654333e884ab3d9fb7e5
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20250923T205647
SUMMARY:C_1-cofiniteness and vertex tensor categories
LOCATION:Hill 705
DESCRIPTION:I will discuss my most recent result that for an arbitrary vertex operator 
 algebra, or more generally, a grading-restricted Möbius vertex algebra V, (
 logarithmic) intertwining operators among C_1-cofinite grading-restricted g
 eneralized V-modules satisfy the associativity property (operator product e
 xpansion) and the category of C_1-cofinite grading-restricted generalized V
 -modules has natural vertex and braided tensor category structures. The pro
 of and construction in this work is based on a generalization of the Huang-
 Lepowsky-Zhang logarithmic tensor category theory to the case that the cate
 gory might not be closed under the contragredient functor. The result follo
 ws after the assumptions to use this generalization are all verified.\n
X-ALT-DESC;FMTTYPE=text/html:<p>I will discuss my most recent result that for an arbitrary vertex operat
 or algebra, or more generally, a grading-restricted Möbius vertex algebra V
 , (logarithmic) intertwining operators among C_1-cofinite grading-restricte
 d generalized V-modules satisfy the associativity property (operator produc
 t expansion) and the category of C_1-cofinite grading-restricted generalize
 d V-modules has natural vertex and braided tensor category structures. The 
 proof and construction in this work is based on a generalization of the Hua
 ng-Lepowsky-Zhang logarithmic tensor category theory to the case that the c
 ategory might not be closed under the contragredient functor. The result fo
 llows after the assumptions to use this generalization are all verified.</p
 >
CONTACT:Yi-Zhi Huang, Rutgers University
DTSTAMP:20260830T044439
DTSTART;TZID=America/New_York:20251003T121000
DTEND;TZID=America/New_York:20251003T131000
SEQUENCE:0
TRANSP:OPAQUE
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