Alexander Gorodnik: Counting lattice points
Tid:
On 2026-11-25 kl 13.15 - 15.00
Plats:
FR4 (Oskar Kleins auditorium), Roslagstullsbacken 21
Medverkande:
Alexander Gorodnik, Department of Mathematics, University of Zurich
Exportera till kalender
Location
FR4 (Oskar Klein), Albanova
Schedule
11:15 -12:00 Pre-colloquium (room FB54, AlbaNova, Roslagstullsbacken 21)
13:15–14:15 Colloquium (FR4 (Oskar Kleins auditorium), Roslagstullsbacken 21)
14:15-15:00 SMC social get together with refreshments (Rotundan, AlbaNova)
Abstract
How many points with integer coordinates lie in a large region? The area gives a good approximate answer, but the error fluctuates in an intricate way. We will follow this question from the plane to curved and more general symmetric spaces, where it is tied to classical problems in number theory. The guiding theme is that counting functions behave randomly, and that tools from the theory of dynamical systems and analysis, such as mean ergodic theorems and spectral density estimates, provide mechanisms to exploit this randomness.
