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DTSTART;TZID=America/New_York:20260501T120000
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DTSTAMP:20260512T022724
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SUMMARY:Lifting F-split surfaces to the Witt vectors
DESCRIPTION:Member Seminar \nSpeaker: Iacopo Brivio\, CMSA \nTitle: Lifting F-split surfaces to the Witt vectors\n\nAbstract: Algebraic varieties in positive characteristic are ill behaved compared to characteristic zero ones. Several important tools available over the complex numbers\, such as the Hodge decomposition theorem\, are either not available or straight-away false. There are two important classes of positive characteristic varieties which have better behavior: Witt liftable varieties and Frobenius split varieties. A folklore conjecture predicts that the latter class is contained in the former. In a joint work with Bernasconi\, Kawakami and Witaszek we proved that this is the case for surfaces. I will give an overview of this result as well as some applications thereof.\n  \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-5126/
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/CMSA-Member-Seminar-5.1.26.docx.png
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DTSTART;TZID=America/New_York:20260508T120000
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CREATED:20260506T194023Z
LAST-MODIFIED:20260506T203007Z
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SUMMARY:From Poincaré/Koszul duality to (twisted) AdS/CFT correspondence
DESCRIPTION:Member Seminar \nSpeaker: Keyou Zeng \nTitle: From Poincaré/Koszul duality to (twisted) AdS/CFT correspondence \nAbstract: Poincaré duality is a fundamental result in the (co)homology theory of manifolds. It has many applications in topology and vast generalizations to other types of “spaces\,” such as singular/stratified spaces and schemes. In this talk\, I will discuss a variant of Poincaré duality for factorization algebras\, also known as Koszul duality. At the end of the talk\, I will relate this notion to a mathematical formulation of what physicists call the AdS/CFT correspondence\, as proposed by Costello and Li. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-5826/
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/CMSA-Member-Seminar-5.8.26.1.docx-scaled.png
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