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Mathematical Sciences Research Institute

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Program

Enumerative Geometry Beyond Numbers January 16, 2018 to May 25, 2018
Organizers Mina Aganagic (University of California, Berkeley), Denis Auroux (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Andrei Okounkov (Columbia University), Balazs Szendroi (University of Oxford)
Description
Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation-, or knot-theoretic structures. This semester-long program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.
Keywords and Mathematics Subject Classification (MSC)
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Programmatic Workshops
January 18, 2018 - January 19, 2018 Connections for Women: Enumerative Geometry Beyond Numbers
January 22, 2018 - January 26, 2018 Introductory Workshop: Enumerative Geometry Beyond Numbers
March 19, 2018 - March 23, 2018 Structures in Enumerative Geometry