A Tale of Two Theorems

Algebra Seminar
Monday, March 4, 2013 - 3:00pm
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech
I will explain and draw connections between the following two theorems: (1) Classification of varieties of minimal degree by Del Pezzo and Bertini and (2) Hilbert's theorem on nonnegative polynomials and sums of squares. This will result in the classification of all varieties on which nonnegative polynomials are equal to sums of squares. (Joint work with Greg Smith and Mauricio Velasco)