Events for 04/04/2018 from all calendars

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Dima Zanin, UNSW

Title: Connes Character Formula for locally compact spectral triples

Abstract: In this talk, I provide a natural condition on (locally compact) spectral triple which implies a number of interesting corollaries:
1) Asymptotic for heat semigroup. Surprisingly, it was not established before even for compact spectral triples.
2) Existence of the heat semigroup asymptotic easily provides analytic continuation of \zeta-function to a bigger half-plane.
3) Finally, the Connes Character formula in terms of singular traces on the ideal $\mathcal{L}_{1,\infty}.$ This is derived from the analytic continuation of \zeta-function to a neighborhood of the pole.

For compact spectral triples this condition simply defines the class of all smooth p-dimensional spectral triples. This conditions holds in every situation of practical importance: Riemannian manifolds (without assumption of bounded geometry), noncommutative Euclidean spaces etc.

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Ridgway Scott, Professor Emeritus, The University of Chicago

Title: Automated Modeling with FEniCS

Abstract: The FEniCS Project develops both fundamental software components and end-user codes to automate numerical solution of partial differential equations (PDEs). FEniCS enables users to translate scientific models quickly into efficient finite element code and also offers powerful capabilities for more experienced programmers. FEniCS uses the variational formulation of PDEs as a language to define models. We will explain the variational formulations for simple problems and then show how they can be extended to simulate fluid flow. The variational formulation also provides a firm theoretical foundation for understanding PDEs. We argue that combining the theory with practical coding provides a way to teach PDEs, their numerical solution, and associated modeling without requiring extensive mathematical prerequisites. As proof, this talk will require no background in PDEs or finite elements, only multi-variate calculus.

Groups and Dynamics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Dzmitry Dudko, Stony Brook University

Title: Conjugacy problem in mapping class bisets

Abstract: For a branched covering f of a sphere, the mapping class biset M(f) is the set of maps obtained by pre- and post-composing f with elements of the mapping class group. Maps in M(f) are considered up to isotopy relative the postcritical set. We will show that the conjugacy problem in M(f), known also as Thurston equivalence, is decidable.

First Year Graduate Student Seminar

Time: 5:30PM - 6:30PM

Location: BLOC 628

Speaker: Student panel

Title: Panel discussion: advice from graduating students