Department of

Mathematics


Seminar Calendar
for events the day of Friday, September 22, 2017.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, September 22, 2017

12:00 pm in 243 Altgeld Hall,Friday, September 22, 2017

Measurable Differentiable Structures and Nonbeddability into RNP spaces

Chris Gartland (UIUC)

Abstract: In 1999, Cheeger proved that doubling metric measure spaces admitting a Poincare inequality carry a 'measurable differentiable structure' with respect to which Lipschitz functions could be differentiated almost everywhere. A major consequence of this theorem is that if such a space were to biLipschitz embed into a finite dimensional normed space (or as was later proved, any RNP space), a generic point would have all of its tangent cones biLipschitz equivalent to some finite dimensional normed space. We'll outline the proof of this consequence and discuss its application to Carnot groups and inverse limits of graphs.

1:00 pm in 141 Altgeld Hall,Friday, September 22, 2017

Travis Nell

Abstract: We continue reading Simon's "A guide to NIP Theories", chapter 7.

4:00 pm in 241 Altgeld Hall,Friday, September 22, 2017

Spectral Gaps, Dynamic Maps, Groups convex and co-compact

Hadrian Quan (UIUC)

Abstract: What do limit sets of group actions, solutions of the linear wave equation, and zeta functions all have in common? They’ll all appear in this talk in surprising ways. By the end of the talk I hope to convince you that their relation is more than surface-deep. This will be an introductory talk, with lots of pictures and examples and little assumed beyond knowledge of the fundamental group of a surface.

4:00 pm in 345 Altgeld Hall,Friday, September 22, 2017

Constructing Analyzable Types in Differentially Closed Fields with Logarithmic Derivatives

Ruizhang Jin (U Waterloo Math)

Abstract: We generalize the well-known fact that the equation $\delta(\log \delta x) = 0$ is analyzable in but not internal to the constants. We use the logarithmic derivative as a building block to construct analyzable types with a unique analysis of minimal length (up to interalgebraicity). We also look for criteria for a given definable set such that its pre-image under the logarithmic derivative is analyzable in but not internal to the constants.