Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Variance estimates for geometric counting problems I
Speaker: Jayadev Athreya, University of Washington
Date: October 12, 2020
Time: 18:00:00 Hours
Venue: AG-77
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. These talks should be accessible to those with some familiarity with real and complex analysis at a first-year graduate level. In the first talk, 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.
Title of Talk: Variance estimates for geometric counting problems I
Speaker: Jayadev Athreya, University of Washington
Date: October 12, 2020
Time: 18:00:00 Hours
Venue: AG-77
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. These talks should be accessible to those with some familiarity with real and complex analysis at a first-year graduate level. In the first talk, 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.