Analysis Seminar Spring 2018

Upcoming Seminars (7th hour Fridays in LIT368) Tuesday 1 May. Speaker: Alejandra Maestripieri Title: Procrustes type problems in Hilbert space. Friday 20 April. Speaker: Jindrich Zapletal. Title: A course in descriptive set theory. Abstract: In the fall and spring, I will offer a two semester sequence in descriptive set theory. The fall will be spent exploring the basics of Polish spaces and Borel and analytic sets; the spring will be devoted to the theory of Borel reducibility of equivalence relations. Applications to the methodology of mathematical analysis will be discussed throughout. Friday 13 April Speaker: Meric Augat. Title: The Free Grothendieck Theorem II. Friday 30 March. Speaker: Meric Augat. Title: The Free Grothendieck Theorem I. Abstract: A remarkable pair of theorems of Grothendieck say if p : C g → C g is an injective polynomial, then p is bijective and its inverse is a polynomial. We embark upon proving a free analog of this. A free polynomial mapping in g freely non-commuting variables sends g-tuples of matrices (of the same size) to g-tuples of matrices (of the same size). Our result is as follows; if p is a free polynomial mapping that is injective, then it has a free polynomial inverse. We will make use of a free version of the Jacobian Conjecture as well as results from free analysis, formal power series and skew fields. Friday 23 March. Join us the SouthEastern Analysis Meeting (SEAM) Friday 16 March. Speakers: Udeni Wijesooriya and Douglas Pfeffer Previews of their SouthEastern Analysis Meeting (SEAM) (20 minute) talks. Friday 2 March. Speaker: Mike Jury. Title: A “quantum” Ramsey theorem for operator systems Abstract: I will discuss the paper by Nik Weaver with the same title, see http://arxiv.org/abs/1601.01259 Seminars past