Abstract: The Weil representation is relatively well understood for local fields or finite fields of odd characteristics. In characteristic two, the situation is quite different. In this talk, we will present three explicit constructions of the Weil representation for a finite field of characteristic two. The first one is related to Weil’s pseudosymplectic group and is valid for an arbitrary finite field of characteristic two. The two others aim…
Title: Density of R-free sets
Abstract: We will discuss a number of new results about the density of certain translates in R-free numbers. We present a solution to Problem 486 in the Erdős' Problems website, and a partial resolution of Problem 25. We will also discuss a new result from van Doorn and Tao.
Abstract:In this presentation I examine the role/s of (Generative) Artificial Intelligence (AI) in mathematics education. By connecting knowledge of learning and teaching mathematics with the possibilities of AI, (it is argued that) we can enhance mathematics learning and teaching. In this, AI may serve as a tool, providing insights into the processes of mathematics learning (e.g., learning analytics) and/or as an actor, actively supporting…
Abstract: Submetries are maps between metric spaces which send balls onto balls of the same radii. They generalize Riemannian submersions and quotient maps for isometric group actions. In the talk, I will discuss topological, analytic and algebraic structural results for such maps.
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