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Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
October 31, 2017 12:00–14:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)
 

Talks within conference "Arithmetic, geometry, automorphic forms and physics"


Special cycles and BPS jumping loci

Arnav Tripathy

Harvard University

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Abstract: I'll sketch an attempt to bring the theory of special cycles, a deep part of number theory, into the domain of supersymmetric string compactifications. I'll describe a construction based on jumping loci for BPS state counts – a separate phenomenon from the better-known wall-crossing! – and explain in what cases these jumping loci generalize some parts of the theory of special cycles. Finally, I'll conclude with a host of physical and mathematical conjectures raised by this line of investigation.

Language: English

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