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.
|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|