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DTSTART;TZID=America/New_York:20261109T163000
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DTSTAMP:20261029T140252Z
CREATED:20260729T200854Z
LAST-MODIFIED:20261029T140252Z
UID:10004032-1794241800-1794245400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Unitary extended topological field theories and higher Hermitian objects
DESCRIPTION:Colloquium \nSpeaker: Lukas Müller (LMU Munich) \nTitle: Unitary extended topological field theories and higher Hermitian objects \nAbstract: Mathematically\, topological field theories study the representation theory of manifolds undercutting and gluing. Extended topological field theories take this idea a step further by allowing one to cut manifolds in multiple directions\, leading to a formulation in terms of higher category theory. It is an open problem to give a complete definition and description of unitary representations of manifolds as extended topological field theories. \nIn my talk\, I will explain some recent progress towards the definition and classification of unitary extended topological field theories. This is based on a categorification of the concept of a Hermitian object in a rigid symmetric monoidal category\, introduced by Freed and Hopkins in the study of non-extended unitary topological field theories. \nThe talk is based on several joint works involving (in part) Giovanni Ferrer\, Brett Hungar\, Theo Johnson-Freyd\, Cameron Krulewski\, Nivedita\, David Penneys\, David Reutter\, Claudia Scheimbauer\, Luuk Stehouwer\, and Chetan Vuppulury\, as well as ongoing work with Theo Johnson-Freyd\, Cameron Krulewski\, and Luuk Stehouwer. \n  \n  \n\nTo subscribe or unsubscribe to the colloquium mailing list\, please visit this link.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/colloquium-11926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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