The Nullstellensatz for the class of global real analytic functions

2017-4-5 11:00 - 2017-4-5 12:00
Room 3-413, Faculty of Science Building #3, Hokkaido University
Abstract: In this talk we describe the ideals of global real analytic functions on R^n having the zero property in terms of Lojasievicz radical and we study the relation between this radical and the usual real radicalof the algebraic geometry, proving that the two radicals have the same closure if one can give a positive answer to the 17 th Hilbert problem, i.e. the representation of positive functions in terms of sums of squares.