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DTSTART;TZID=America/New_York:20231113T103000
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UID:10002787-1699871400-1699875000@cmsa.fas.harvard.edu
SUMMARY:Stacky small resolutions of determinantal octic double solids and noncommutative Gopakumar-Vafa invariants
DESCRIPTION:Algebraic Geometry in String Theory Seminar \n\nSpeaker: Sheldon Katz\, UIUC \nTitle: Stacky small resolutions of determinantal octic double solids and noncommutative Gopakumar-Vafa invariants \nAbstract:  A determinantal octic double solid is the double cover X of P^3 branched along the degree 8 determinant of a symmetric matrix of homogeneous forms on P^3.  These X are nodal CY threefolds which do not admit a projective small resolution.  B-model techniques can be applied to compute GV invariants up to g \le 32.  This raises the question: what is the geometric meaning of these invariants? \nEvidence suggests that these enumerative invariants are associated with moduli stacks of coherent sheaves of modules over a sheaf B of noncommutative algebras on X constructed by Kuznetsov.  One of these moduli stacks is a stacky small resolution X’ of X itself.  This leads to another geometric interpretation of the invariants as being associated with moduli of sheaves on X’ twisted by a Brauer class.  Geometric computations based on these working definitions always agree with the B-model computations. \nThis talk is based on joint work with Albrecht Klemm\, Thorsten Schimannek\, and Eric Sharpe. \n\n 
URL:https://cmsa.fas.harvard.edu/event/agst-111323/
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-11.13.2023.png
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DTSTART;TZID=America/New_York:20231113T163000
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CREATED:20240223T081522Z
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UID:10002834-1699893000-1699896600@cmsa.fas.harvard.edu
SUMMARY:Koszul duality in QFT
DESCRIPTION:Speaker: Brian Williams (Boston University) \nTitle: Koszul duality in QFT \nAbstract: We will describe appearances of the algebraic phenomena of Koszul duality in the context of boundary conditions and defects in quantum field theory. Primarily motivated by topological string theory\, this point of view was pioneered by Costello and Li in their proposal for a twisted version of the AdS/CFT correspondence. Since then\, many important examples of (twisted) holographic dualities in string and M-theory have been studied in work of Costello\, Gaiotto\, Paquette and many others. I will survey some of these examples and some current work with Raghavendran and Saberi which uses this formalism to predict exceptional symmetries present in M-theory. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-111323/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-11.13.2023.png
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