This is a list of all upcoming talks for the next two weeks. Talks are from 3:45-4:45 p.m. in the Colloquium or Seminar Room, unless otherwise specified.
Nov 21Representations of the Cuntz-Krieger algebras and Bratteli diagrams Prof. Sergey Bezuglyi The University of Iowa Time: 03:45 PM Operator Algebras and Dynamics Seminars
View AbstractThe talk is devoted to the study of a new class of representations of the Cuntz-Krieger algebras constructed by semibranching function systems which are naturally related to stationary Bratteli diagrams. We show that isomorphic semibranching function systems generate unitarily equivalent representations of the Cuntz-Krieger algebras. We work with Markov measures defined on the path space of stationary Bratteli diagrams to construct isomorphic representations of these algebras. To do this, we associate a strongly directed graph to a stationary simple Bratteli diagram, and show that isomorphic graphs generate isomorphic semibranching function systems. We also consider a class of monic representations of the Cuntz-Krieger algebras, and classify them up to unitary equivalence. The talk is based on a joint paper with Palle E.T. Jorgensen.
Nov 24The Spectral Method and the Paraxial Wave Equation Reza Malek-Madani and Stephen Guth USNA Time: 03:45 PM Basic Notions
View AbstractWe will go over a new approach to numerically simulating the solution to an initial-boundary value problem that arises in modeling laser beam propagation, a topic we cover in SM421A, "Mathematics of Light", and SM282, "Introduction to Laser Research."
Nov 24Convex Sets Associated to C$^*$-algebras Scott Atkinson University of Virginia Time: 03:45 PM Operator Algebras and Dynamics Seminars
View AbstractGiven a separable C$^*$-algebra $A$, we can associate to $A$ an invariant given by a family of convex separable metric spaces. Each convex separable metric space is given by equivalence classes of $*$-homomorphisms of $A$ into a McDuff factor $M$. This family is closely related to the trace space of $A$, and in some cases this invariant appears to be finer than the trace space invariant. This is an ongoing project based off of a 2011 paper by Nate Brown.
Dec 01How can we support each other? Academic Center USNA Time: 12:00 PM Teaching Seminar
Dec 03TBA Prof. Caroline Melles USNA Time: 03:45 PM Colloquium