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Texas A&M University
Mathematics

Events for 04/30/2014 from all calendars

Noncommutative Geometry Festival

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Time: 09:00AM - 7:00PM

Location: Bloc 166

Description: The Festival will be in honor of Henri Moscovici's 70th birthday. The goal of the Festival is to provide a forum for highlighting some of the most significant recent advances in noncommutative geometry, identifying promising new research directions, and immersing graduate students and postdocs in the most current research in the field. In particular, Alain Connes will be giving the inaugural Foiaş Lecture Series of the Department of Mathematics, Texas A&M University as part of the Festival.

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Colloquium - Professor Dennis Sullivan

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Time: 4:20PM - 5:10PM

Location: BLOC 166

Speaker: Professor Dennis Sullivan, Stony Brook University

Description:

Title: Numerical algorithms for ideal 3D fluid motion based on algebraic topology

Abstract:
At the continuum level, there are a skew-symmetric 3-form and a quadratic form on the space of 1-forms that are purely topological, but in the presence of a metric allow one to express fluid motion algebraically. These structures can be transferred to finite-dimensional grid approximations respecting non-linearity by making use of the idea of structures up to homotopy from algebraic topology. The goal of this work in progress is to construct consistent numerical algorithms that are typically stable for incompressible 3D fluid motion without friction.