APS
Speaker: Niladri Sekhar Patra, IIT Bombay
Host: Manoj Kumar Keshari
Title: Descent problem for certificate of non-negativity on semi-algebraic sets.
Time, day and date: 5:15:00 PM – 6:15:00 PM, Monday, February 09
Venue: Ramanujan Hall
Abstract: Let R[X] (resp. Q[X]) denote the polynomial ring in n variables with real (resp. rational) coefficients. Given a finite set S in Q[X], if the quadratic module M generated by S is archimedean in R[X], then we show that the quadratic module M generated by S is Archimedean in Q[X] when Q[X]/Supp(M) is 0 dimensional, giving a partial answer to Powers' question. I will also discuss some result on saturation. This is joint work with M.K. Keshari and Debapriya Ojha.