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.