Back to Departmental Colloquium: Spring 2022
Departmental Colloquium
Date: Thursday, Mar 31, 2022
Time: 4:00PM
Location: JWB 335
Jayadev Athreya
University of Washington
Title |
Variance estimates for geometric counting problems |
Abstract |
We’ll discuss three examples (lattices, translation surfaces, hyperbolic surfaces) of computing the variance of natural counting problems for random geometric structures. All of them can be viewed as generalizations of the space of flat structures on the two-dimensional torus. We’ll carefully discuss this base example, and the three different generalizations. This talk should be accessible to those with some familiarity with real and complex analysis at a first-year graduate level. In the first example, we’ll discuss lattices, and some joint work with G. Margulis; in the second, translation surfaces, and joint work with Y. Cheung and H. Masur, and in the third, hyperbolic surfaces, and joint work with F. Arana-Herrera. |
Mathematical Biology