BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Harshit Yadav (University of Alberta) DTSTART:20250806T160000Z DTEND:20250806T170000Z DTSTAMP:20260423T021449Z UID:TQFT/143 DESCRIPTION:Title: M odular tensor categories via local modules\nby Harshit Yadav (Universi ty of Alberta) as part of Topological Quantum Field Theory Club (IST\, Lis bon)\n\n\nAbstract\nGiven a commutative algebra $A$ in a braided monoidal category $C$\, the category of local A-modules\, $C_A^\\mathrm{loc}$\, is defined as a subcategory of the category $C_A$ of right $A$-modules in C. Pareigis showed that $C_A^\\mathrm{loc}$\, which is important for studying vertex operator algebra extensions\, is a braided monoidal category under very general conditions. In this setting\, I will present a criterion for $C_A^\\mathrm{loc}$ to be a rigid monoidal category. When $C$ is pivotal/ ribbon\, I will also discuss when the category $C_A$ is pivotal and when $ C_A^\\mathrm{loc}$ is ribbon.\n\nAs an application\, I will show that when $C$ is a modular tensor category and $A$ is a commutative simple symmetri c Frobenius algebra in $C$\, then $C_A^\\mathrm{loc}$ is a modular tensor category. Furthermore\, I will discuss methods to construct such commutati ve algebras using simple currents and the Witt group of non-degenerate bra ided finite tensor categories. This presentation is based on joint work wi th Kenichi Shimizu.\n LOCATION:https://researchseminars.org/talk/TQFT/143/ END:VEVENT END:VCALENDAR