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Speaker:
Maryna Viazovska
Affiliation:
Humboldt Universiät Berlin
Date:
Fri, 26/05/2017 - 14:00 - 14:50
Location:
MPIM Lecture Hall
Parent event:
Conference "Modular forms are everywhere" In this talk we will give an application of modular forms to the sphere
packing problem. First, we will explain the Cohn-Elkies linear
programming bound for the best packing constant in Euclidean space.
Next, we will show that the linear programming problems corresponding to
dimensions 8 and 24 can be solved explicitly. As a byproduct of our
method, we will prove a new type of interpolation formula for the
Schwartz functions. Finally, using this approach we will present the
solution of the sphere packing problem in dimensions 8 and 24.
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