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Texas A&M University

Events for 11/01/2023 from all calendars

Groups and Dynamics Seminar

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Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Volodymyr Nekrashevych, Texas A&M University

Title: Locally connected Smale spaces

Abstract: We will discuss Ruelle-Smale dynamical systems (hyperbolic topological dynamical systems), a.k.a. Smale spaces. They are topological generalizations of Anosov diffeomorphisms. One of the main open questions is characterization of the algebraic Ruelle-Smale spaces (i.e., covered by hyperbolic automorphisms of nilpotent Lie groups) in purely topological terms. For example, no non-algebraic examples of locally connected Smale spaces are known. We will discuss known results about this problem and its connection to group theory.

Student/Postdoc Working Geometry Seminar

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Time: 4:00PM - 5:30PM

Location: BLOC 624

Speaker: Jordy Lopez, TAMU

Title: Green's conj. after Ein-Lazarsfeld cont'd


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Time: 6:00PM - 7:00PM

Location: BLOC 302

Speaker: Jonas Lührmann, Texas A&M University

Title: Dispersive Waves and Solitons

Abstract: From the dynamics of quantum particles to the propagation of electromagnetic radiation and gravitational waves, nonlinear waves are everywhere in nature. Mathematically, such wave propagation phenomena can be described in terms of nonlinear dispersive and hyperbolic partial differential equations. Their solutions can exhibit different behaviors: some waves spread out, other waves form coherent structures, often called solitons, and yet other waves collapse.

In this talk I will first explain how linear dispersive waves typically behave. Then I will talk about the historic origins of a remarkable nonlinear phenomenon, namely the existence of solitons. Finally, I will discuss the fundamental role that radiation (linear dispersive waves) and solitons play for the long-time dynamics of nonlinear dispersive equations.