Sums of squares, correlation functions, and exceptional geometric structures

Event details
Date | 09.10.2017 |
Hour | 14:15 › 15:15 |
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