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DTSTART;TZID=America/New_York:20260925T120000
DTEND;TZID=America/New_York:20260925T130000
DTSTAMP:20260922T144234Z
CREATED:20260729T192854Z
LAST-MODIFIED:20260922T144234Z
UID:10003999-1790337600-1790341200@cmsa.fas.harvard.edu
SUMMARY:Member Seminar
DESCRIPTION:Member Seminar \nSpeaker: Lorenzo Riva\, CMSA \nTitle: Un-extending extended TQFTs \nAbstract: An ordinary topological quantum field theory (TQFT) assigns invariants to manifolds of dimensions n in a way that is compatible with cutting-and-gluing along submanifolds of dimension n-1. An extended TQFT assigns invariants that are also compatible with cutting along submanifolds of all codimensions. One way to formalize these notions is via functors between higher categories: an ordinary TQFT is a functor from a 1-category of (n-1)-dimensional manifolds and n-dimensional bordisms\, while an extended TQFT is a functor from an n-category of k-dimensional manifolds (for k = 0\, 1\, … \, n) each of which is a bordism between bordisms between bordisms between… and so on. It’s generally harder to deal with n-categories than it is to deal with 1-categories\, so one might want to ask: can we reframe extended TQFTs in a 1-categorical context? We will answer this question during the talk.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-92526/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-Member-Seminar-9.25.26.docx-scaled.png
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