Department of

Mathematics


Seminar Calendar
for events the day of Friday, January 26, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, January 26, 2018

12:00 pm in 443 Altgeld Hall,Friday, January 26, 2018

Fourier transform of Radon measures on locally compact groups

Fernando Roman Garcia (UIUC Math)

Abstract: In Euclidean space, the Fourier transform of a compactly supported Radon measure is a bounded Lipschitz function. Properties of this function can translate into properties of the measure. In this talk we will see how one can develop corresponding theory for a general class of locally compact groups. If time permits, we will discuss applications of some of these results to geometric set theory in this class of groups.

4:00 pm in 241 Altgeld Hall,Friday, January 26, 2018

Ice cream geometry: a mathematical activity and coloring book

Melinda Lanius (UIUC)

Abstract: Come explore metrics I use in my dissertation research. In a souped-up color-by-numbers, we'll develop a general notion of circle and ball. In geodesic connect-the-dots, we'll see what happens when straight lines curve. In metric mazes, we'll come to appreciate the wonky ways of nonhomogeneous spaces. After exploring the geometries of the real and hyperbolic plane, sphere, cone, and cylinder, we'll conclude by building less familiar objects: surfaces with a Euclidean, cylindrical, conical, or hyperbolic-funnel end. Please bring your fun office supplies!

4:00 pm in 345 Altgeld Hall,Friday, January 26, 2018

First order expansions of the ordered real additive group — Part II

Philipp Hieronymi (UIUC Math)

Abstract: This is a (hopefully self-contained) continuation of Erik's talk from Tuesday. I will discuss in more detail expansions of the ordered real additive group that are of type B (ie expansions of $(\mathbb{R},<,+)$ that define an order $(D,\prec)$ of order-type $\omega$ whose underlying set $D$ is somewhere dense in $\mathbb R$). In many (all?) type B structures 0-definability is equivalent to recognizablility by a Buechi automaton. Therefore results about the definable sets in type B structures imply results about sets recognizable by such automata. In this talk I will focus on our current research on continuous definable functions in type B structures, and I will discuss how it connects to results in computer science by Chaudhuri, Sankaranarayanan and Vardi.