KWIM & RGA WS24/25: Sums of squares with at most k terms
Wann
Freitag, 25. Oktober 2024
13:30 bis 15 Uhr
Wo
F 426
Veranstaltet von
Prof. Dr. Salma Kuhlmann & KWIM
Vortragende Person/Vortragende Personen:
Asst. Prof. Dr. Charu Goel
Diese Veranstaltung ist Teil der Veranstaltungsreihe „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.