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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:<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:20260830T044555
DTSTART;TZID=America/New_York:20251003T121000
DTEND;TZID=America/New_York:20251003T131000
SEQUENCE:0
TRANSP:OPAQUE
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