Speaker: Kostas Beros (U. North Texas)
Title: Normal numbers and a completeness result in the difference hierarchy
Abstract: In this talk I consider a natural set of real numbers, arising in ergodic theory, and show that it is Wadge-complete for the class of differences of $F_{\sigma\delta}$ sets. I will recall basic definitions and motivate my result with a discussion of related theorems from the past twenty years.
Logic seminar
Keller Hall 401
Speaker: John “Curlee” Robertson, University of Hawaii
Title: Analytical Techniques in Measurable Group Theory
Abstract: Measurable Group Theory is a relatively new tool created to recover information about countable groups. We will introduce what it means to be “measure equivalent”, give some examples (and some non-examples), and talk about how this helps us view our groups from the angle of unitary operators on a Hilbert space. More specifically, for two measure equivalent groups a unitary representation of one induces a unitary representation of the other in a “geometry preserving” way. I’ll give a few short proofs and draw some nice pictures. Needless to say, this should be accessible to all.
See organizers Rufus, Alan or Robin for details.
Title: A brief overview of topological data analysis
See organizers Rufus, Alan or Robin for details.
See organizers Rufus, Alan or Robin for details.