Events for 11/06/2019 from all calendars

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Jintao Deng, Texas A&M University

Title: The Novikov conjecture and group extensions

Abstract: The Novikov conjecture is an important problem in higher dimensional topology. It claims that the higher signatures of a compact smooth manifold are invariant under orientation preserving homotopy equivalences. The Novikov conjecture is a consequence of the strong Novikov conjecture in the computation of the K-theory of group C*-algebras. In this talk, I will talk about the Novikov conjecture for groups which are extensions of coarsely embeddable groups.

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Simon Pun, TAMU

Title: Computational multiscale methods for first-order wave equation

Abstract: In this talk, we present a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method to solve this problem. The proposed method provides a flexible framework to construct crucial multiscale basis functions for approximating the pressure and velocity. These basis functions are constructed by solving a class of local auxiliary optimization problems over the eigenspaces that contain local information on the heterogeneity. Techniques of oversampling are adapted to enhance the computational performance. The first-order convergence of the proposed method is proved and illustrated by several numerical tests.

Topology Seminar

Time: 3:00PM - 3:50PM

Location: BLOC 605AX

Speaker: Hiro Tanaka, Texas State University

Title: Broken techniques for disappearing things

Abstract: This is joint work with Jacob Lurie. I will discuss stacks classifying families of broken lines. These stacks give new ways to organize algebraic structures, and have enticing applications to symplectic geometry. For example, families of broken lines classify non-unital \(A(\infty)\) structures while giving a clear pathway to enrich Lagrangian Floer theory over spectra (which are more powerful invariants than chain complexes).

Graduate Student Organization Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Byeongsu Yu

Title: Universal Property via Yoneda Lemma

Abstract: Universal property of a lot of objects is one of the abstract nonsense of mathematics. In this talk, we will show that the universal property of some object is defined in general by constructing the category of element and finding its universal object. Moreover, if time permits, this notion can be generalized by representable functors and Yoneda Lemma.