Mathe im Beruf Detailseite

Speaker:
Asst. Prof. Dr. Charu Goel

This event is part of an event series „KWIM Lecture Series“.

Abstract. In this talk we will present some recent results on sums of squares of forms with restricted number of terms. We consider the cones corresponding to the sums of squares of n-ary d-ic forms with atmost k terms, which are closed and convex. We show that these cones are strictly nested as k increases, leading to the usual sum of squares cone. For n greater than or equal to 3, we construct indefinite irreducible n-ary d-ic forms with exactly k terms, for k greater than or equal to 2. This is a joint work with Bruce Reznick.