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GERAD seminar

Symmetric sums of squares

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Aug 31, 2016   03:45 PM — 05:00 PM

Annie Raymond University of Washington, United States

We consider the problem of finding sum of squares (sos) expressions to establish the non-negativity of a symmetric polynomial over a discrete hypercube whose coordinates are indexed by /(k/)-element subsets of /([n]/). We develop a variant of the Gatermann-Parrilo symmetry-reduction method tailored to our setting that allows for several simplifications and a connection to Razborov's flag algebras. We show that every symmetric polynomial that has a sos expression of a fixed degree also has a succinct sos expression whose size depends only on the degree and not on the number of variables. This is joint work with James Saunderson, Mohit Singh and Rekha Thomas.


Free entrance.
Welcome to everyone!

Guy Desaulniers organizer

Location

Room 4488
André-Aisenstadt Building
Université de Montréal Campus
2920, chemin de la Tour Montréal QC H3T 1J4 Canada