Linear Programming Bounds for Hyperbolic Surfaces

Offered By: Centre de recherches mathématiques - CRM via YouTube

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!

Explore new upper bounds on geometric and spectral invariants of closed hyperbolic surfaces in this 57-minute seminar talk from the Spectral Geometry in the clouds series. Delve into joint work by Maxime Fortier Bourque and Bram Petri, focusing on both low and high genus surfaces. Learn about their innovative approach using the Selberg trace formula and test functions, inspired by Cohn and Elkies' work on Euclidean sphere packing density. Gain insights into advanced mathematical concepts and techniques applied to hyperbolic geometry and spectral theory.

Syllabus

Maxime Fortier Bourque: Linear programming bounds for hyperbolic surfaces

Taught by

Centre de recherches mathématiques - CRM

Related Courses

Modular Forms by Mahesh Kakde
International Centre for Theoretical Sciences via YouTube Introduction to Sphere Packing Problems by Abhinav Kumar
International Centre for Theoretical Sciences via YouTube Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy
International Centre for Theoretical Sciences via YouTube Oded Regev: The Reverse Minkowski Theorem
International Mathematical Union via YouTube Maximally Dense Sphere Packings
Fields Institute via YouTube