Tuesday January 30, 2018 5:30 PM  6:30 PM Math Tower 5127
 Jason Starr, Stony Brook University
Geometry and Topology and ArithmeticSerge Lang had a saying, "Geometry determines Arithmetic." For instance, hyperbolic projective curves (of negative curvature) defined over global fields have at most finitely many "rational points" with coordinates in that global field (Faltings). Although elliptic curves (of zero curvature) can have infinitely many rational points, there are too few rational points to "approximate local points". Finally, rational curves (of positive curvature) with at least one rational point have enough rational points to approximate local points to all orders.
I will explain connections between geometry and arithmetic, I will explain the crucial role of topology, and I will explain theorems proving existence / approximation theorems for rational points using "higher positive curvature".

Tuesday February 06, 2018 5:30 PM  6:30 PM Math Tower 5127

No meeting

Tuesday February 13, 2018 5:30 PM  6:30 PM Math Tower 5127
 Eric Bedford, Stony Brook University
Dynamics in Complex Dimension 2We will discuss the following questions:
What are the manifolds in complex dimension 2 which carry nontrivial automorphisms? And how do you study the dynamics of these automorphisms?

Tuesday February 27, 2018 5:30 PM  6:30 PM Math Tower 5127
 David Ebin, Stony Brook University
TBA

Tuesday March 20, 2018 5:30 PM  6:30 PM Math Tower 5127
 Dennis Sullivan, Stony Brook University
TBA

Tuesday April 03, 2018 5:30 PM  6:30 PM Math Tower 5127
 Moira Chas, Stony Brook University
TBA

Tuesday April 17, 2018 5:30 PM  6:30 PM Math Tower 5127

TBA

Tuesday May 01, 2018 5:30 PM  6:30 PM Math Tower 5127

TBA

