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Texas A&M University
Mathematics

Events for 10/28/2021 from all calendars

Several Complex Variables Seminar

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Time: 2:00PM - 3:00PM

Location: BLOC 624

Speaker: John N. Treuer, Texas A&M University

Title: Rigidity Theorems on planar domains

Abstract: In this talk, using the analytic and logarithmic capacity we will investigate extremal properties of several kernel functions including the Bergman, Szego, higher-order Bergman kernels. We will then explore rigidity results concerning the logarithmic capacity and the sublevel sets of the Green's function. This is joint work with Xin Dong (University of Connecticut) and Yuan Zhang (Purdue University Fort Wayne).


Departmental Colloquia

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Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Jean-Luc Guermond, Texas A&M

Title: Invariant-domain approximation of systems of nonlinear conservation equations

Abstract: The talk will be targeted to a general audience. In the first part of the talk I will review elementary notions about nonlinear hyperbolic systems and I will give a broad overview of the current state of the art on the well-posedness and on the approximation theory of these systems. In the second half of the talk I will briefly describe a method that is invariant-domain preserving for every hyperbolic systems.