Modular forms and optimization in Euclidean space

Modular forms and optimization in Euclidean space

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Maryna Viazovska , Humboldt University
Fine Hall 214

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.