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DTSTART;TZID=America/New_York:20221014T093000
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DTSTAMP:20260703T090032
CREATED:20230825T081331Z
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SUMMARY:Singularities of the quantum connection on a Fano variety
DESCRIPTION:Algebraic Geometry in String Theory Seminar \n\n\n\n\n\nSpeaker: Daniel Pomerleano\, UMass Boston \nTitle: Singularities of the quantum connection on a Fano variety \nAbstract: The small quantum connection on a Fano variety is one of the simplest objects in enumerative geometry. Nevertheless\, it is the subject of far-reaching conjectures known as the Dubrovin/Gamma conjectures. Traditionally\, these conjectures are made for manifolds with semi-simple quantum cohomology or more generally for Fano manifolds whose quantum connection is of unramified exponential type at q=\infty. \nI will explain a program\, joint with Paul Seidel\, to show that this unramified exponential type property holds for all Fano manifolds M carrying a smooth anticanonical divisor D. The basic idea of our argument is to view these structures through the lens of a noncommutative Landau-Ginzburg model intrinsically attached to (M\, D).
URL:https://cmsa.fas.harvard.edu/event/agst-102122/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebraic Geometry in String Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebraic-Geometry-in-String-Theory-10.14.2022.png
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