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Texas A&M University

Events for 04/02/2021 from all calendars

Noncommutative Geometry Seminar

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Time: 1:00PM - 2:00PM

Location: Zoom 951 5490 42

Speaker: Henrique Bursztyn, Instituto Nacional de Matematica Pura e Aplicada

Title: Relating Morita equivalence in algebra and geometry via deformation quantization

Abstract: The notion of Morita equivalence, native to ring theory, plays an important role in noncommutative geometry and has a geometric version in Poisson geometry (closely related to Morita equivalence of Lie groupoids). I will present some key aspects of Morita theory of Poisson structures and explain a concrete link with Morita equivalence of algebras via deformation quantization.

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Mathematical Physics and Harmonic Analysis Seminar

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Time: 2:00PM - 3:00PM

Location: Zoom

Speaker: Peter Kuchment, Texas A&M University

Title: The nodal sets mysteries

Abstract: Nodal patterns of oscillating membranes have been known for hundreds of years. Leonardo da Vinci, Galileo Galilei, and Robert Hooke have observed them. By the nineteenth century they acquired the name of Chladni figures. Mathematically, they represent zero sets of eigenfunctions of the Laplace (or a more general) operator. In spite of such long history, many mysteries about these patterns (even in domains of Euclidean spaces, and even more on manifolds) still abound and attract recent attention of leading researchers working in physics, mathematics (including PDEs, math physics, and number theory) and even medical imaging. The talk will survey these issues, with concentration on the most recent results, where A&M mathematicians have been playing a significant role. No prior knowledge is assumed.