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DTSTART;TZID=America/New_York:20260504T150000
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DTSTAMP:20260506T015339
CREATED:20260126T190454Z
LAST-MODIFIED:20260430T170629Z
UID:10003880-1777906800-1777910400@cmsa.fas.harvard.edu
SUMMARY:Twisted D-branes and TQFTs valued in Calabi-Yau categories
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Surya Raghavendran\, Yale University \nTitle: Twisted D-branes and TQFTs valued in Calabi-Yau categories \nAbstract: Recently\, Bozec–Calaque–Scherotzke have articulated a noncommutative version of the AKSZ construction\, which associates to a smooth Calabi–Yau category a fully extended TQFT valued in a category of iterated Calabi–Yau cospans. In this talk\, I will study a class of examples of such theories which arise in the context of conjectures of Costello and Li\, which describe Type II strings in certain Ramond–Ramond backgrounds as topological strings. These TQFTs capture structural features of the BPS physics of D-branes that are universal in Chan–Paton factors. Conjecturally commutative limits of the values of such theories on closed manifolds can sometimes be geometrically quantized to yield algebraic structures with Hall-type products. Examples of this paradigm include CoHAs associated to complex 3-folds\, CoHAs attached to local systems on 3-manifolds\, and the categorified Hall algebras of Porta–Sala.
URL:https://cmsa.fas.harvard.edu/event/qft_5426/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
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DTSTART;TZID=America/New_York:20260504T163000
DTEND;TZID=America/New_York:20260504T173000
DTSTAMP:20260506T015339
CREATED:20260323T160718Z
LAST-MODIFIED:20260421T135719Z
UID:10003923-1777912200-1777915800@cmsa.fas.harvard.edu
SUMMARY:Dynamics as intersection problem
DESCRIPTION:Colloquium \nSpeaker: Nikita Nekrasov\, Simons Center \nTitle: Dynamics as intersection problem \nAbstract: Most classical and quantum field theories are based on an action principle. However\, there are important exceptions to this — hydrodynamics and the theory of self-dual fields. In this talk we formulate the covariant relativistic fluid dynamics\, with or without magnetic fields\, as well as the theory of chiral boson in 1+1 dimensions\, self-dual tensor in 1+5 dimensions\, and self-dual four-form of IIB supergravity\, in terms of intersection theory of an auxiliary phase space. This provides a common covariant geometric framework for systems without a conventional action\, while at the same time laying the groundwork for quantization via the Kontsevich approach. Joint work with Paul Wiegmann. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-5426/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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