Sums of squares, correlation functions, and exceptional geometric structures

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Event details

Date 09.10.2017
Hour 14:1515:15
Speaker Henry Cohn (Microsoft Research and MIT)
Location
BI A0 448 (CIB - salle conférence)
Category Conferences - Seminars

Some exceptional structures such as the icosahedron or E_8 root system have remarkable optimality properties in settings such as packing, energy minimization, or coding.  How can we understand and prove their optimality?  In this talk, I'll interweave this story with two other developments in recent mathematics (without assuming familiarity with either): how semidefinite optimization and sums of squares have expanded the scope of optimization, and how representation theory has shed light on higher correlation functions for particle systems.

Practical information

  • Informed public
  • Free

Organizer

  • Maryna Viazovska

Contact

  • Monique Kiener

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