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Texas A&M University

Events for 09/16/2020 from all calendars

Noncommutative Geometry Seminar

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Time: 1:00PM - 2:00PM

Location: Zoom 942810031

Speaker: Kristin Courtney, University of Münster (WWU)

Title: C*-structure on images of completely positive order zero maps

Abstract: A completely positive (cp) map is called order zero when it preserves orthogonality. Such maps enjoy a rich structure, which has made them a key component of completely positive approximations of nuclear C*-algebras. Motivated by generalized inductive limits arising from such cp approximations, we consider the structure of the image of a cp order zero map. It turns out that this is captured by a few key properties that one can ask of a self-adjoint subspace of a C*-algebra. We will discuss these properties and the implications for generalized inductive sequences. This is joint work with Wilhelm Winter.

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Topology Seminar

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Time: 4:00PM - 5:00PM

Location: Zoom

Speaker: Guangbo Xu, Texas A&M University

Title: Introduction to the Atiyah-Floer conjecture

Abstract: The Atiyah-Floer conjecture states that the instanton Floer homology of certain three-dimensional manifold M (constructed using gauge theory) is isomorphic to the Lagrangian Floer homology associated to M and a separating surface Σ (constructed using symplectic geometry). In this talk I will review the construction of these two Floer theories and explain Atiyah's original idea about the correspondence between them. The talk will be expository and accessible to graduate students. Video recording available at: (Access Password: =S6$Y7GA)