Schedule of Upcoming Seminars:
Wednesday, October 19
1:30 - 2:20 PM
Speaker: Mark Medwid
Title: Limits of Sequences of Metric Spaces
Abstract: In this talk we first develop a notion of a metric between compact metric spaces, the Gromov-Hausdorff distance. This naturally leads to the idea of a limit of a sequence of metric spaces. We will discuss some applications and basic theory before moving on to the more general concept of ultrafilters,
ultraproducts, ultralimits and the asymptotic cone of a metric space X. These concepts have surprising and "exciting" applications to group theory.
Wednesday, October 26
1:30 - 2:20 PM
Speaker: Serge Phanzu
Title: The Approximation Problem
Abstract: The approximation problem is a well known problem of functional analysis (Grothendieck 1955). It asks to determine whether every compact operator T from a Banach space X to a Banach space Y is the uniform operator topology of a sequence of operators with finite rank. This question was answered in the negative by Enflo (1973), who provided a deep counterexample to this problem.
News: Like spring 2016, the fall 2016 semester is a talk free-for-all: anyone may give a talk on any topic, as long as it relates to Math & Stats in some way. Even if it doesn't relate to math or stats, as long as it's given by a grad student, it's probably fine. Contact Dave Walmsley (firstname.lastname@example.org), Mark Medwid (email@example.com), or Jake Laubacher (firstname.lastname@example.org) if you would like to give a talk!