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Graduate Seminar
Sebastien Vasey Carnegie Mellon University Title: Ominimality Abstract: Imagine living in a world where every set of reals is a finite union of intervals and points. How much easier would life then be?The talk will make this question precise by introducing the notion of ominimality. I will show that in this universe, many dreams come true. For example, every realvalued function is piecewise continuous, and every subset of the plane can be decomposed into finitely many very simple sets, the socalled cells.As an application, I will outline a proof of the following result of Khovanskii: For any k and n, there exists C such that if p is a real polynomial with n variables, k nonzero terms (but unbounded degree), and finitely many real roots, then it has fewer than C such roots. Date: Wednesday, February 19, 2014 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Brian Kell 