Title: Curve Counting in Various Dimensions
Speaker: Andrei Okounkov (Columbia University)
Abstract: Enumerative geometry of curves in algebraic varieties has been a rich source of beautiful geometric constructions and unexpected connections with other branches of mathematics. The complexity and the flavor of both the problems and the answers changes with the dimension of the ambient algebraic variety. Our goal will be to get a sample of the different flavors of curve counting in dimensions 1, 3, and 5.