Modular forms and optimization in Euclidean space

Joint IAS/Princeton University Number Theory Seminar
Topic:Modular forms and optimization in Euclidean space
Speaker:Maryna Viazovska
Affiliation:Humboldt University
Date:Thursday, September 15
Time/Room:4:30pm - 5:30pm/Fine 214, Princeton University

In this talk we will show how modular forms can be applied to energy minimization problems in Euclidean space. Namely, we will explain Cohn-Elkies linear programming method and present explicit constructions of corresponding certificate functions. In particular, we will discuss optimization in dimensions 8 and 24.