Student Seminar on Counting Problems Autumn 2023

Lecturer
Tal Horesh
Coordinator
Cynthia Bortolotto

Course requirements

The seminar will have 10 talks in total. You will need to divide into groups of 2-3 people, where each group will prepare two talks: one in the first half of the seminar (i.e., among the first five talks), and the second in second half of the seminar. The talk can be either with blackboard or with slides. In addition, you will need to submit your notes for the talk (ideally very shortly after it).

Lectures

Date Speakers Topic Reports
October 17 Jon Martínez, Krits Costa Gauss Circle Problem Report
October 24 Dominik Moos, Tobias Feigenwinter Hyperbolic plane Report
October 31 Julian Komaromy, Brandon Kelly Linear groups and Haar measure Report - Brandon / Report Julian and Brandon
November 7 Yixuan Liu, Réka Rácz, Annina Siegrist Lattices in linear groups Report
November 14 David Blättler, Anastasia Sandamirskaya, Stefan Hadzhistoykov Ergodic transformations, unitary representations and ergodicity of the geodesic flow Report
November 21 David Blättler, Anastasia Sandamirskaya, Stefan Hadzhistoykov Mautner phenomenon, mixing transformations and the Howe-Moore theorem Report
November 28 Yixuan Liu, Réka Rácz, Annina Siegrist Equidistribution of large horocycles Report
December 5 Julian Komaromy, Brandon Kelly Counting primitive integer points in the Euclidean plane Report - Brandon / Report - Julian
December 12 Dominik Moos, Tobias Feigenwinter The counting method of Duke, Rudnick, Sarnak and Eskin, McMullen Report
December 19 Jon Martínez, Krits Costa Counting integer matrices with given determinant