Seminar Calendar
for Graduate Analysis Seminar events the year of Monday, July 16, 2012.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery. 
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Thursday, January 26, 2012

Graduate Analysis Seminar
5:00 pm   in 241 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by funk3.
Austin Rochford (UIUC Math)
Amenability Across Analysis
Abstract: Part one of a two part talk. We will define amenable groups and explore generalizations of amenability to various areas of analysis. This week we will consider harmonic analysis and ergodic theory.

Thursday, February 2, 2012

Graduate Analysis Seminar
5:00 pm   in 241 Altgeld Hall,  Thursday, February 2, 2012
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Austin Rochford (UIUC Math)
Amenability Across Analysis: Part II
Abstract: Part two of a two part talk. We will explore generalizations of amenability to various areas of analysis. This week we will consider harmonic analysis and banach algebras.

Thursday, February 16, 2012

Graduate Analysis Seminar
5:00 pm   in 147 Altgeld Hall,  Thursday, February 16, 2012
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Submitted by funk3.
Steve Avsec (UIUC Math)
A Characterization of Noncommutative Brownian Motion
Abstract: We will discuss what noncommutative brownian motion is and how it resembles classical brownian motion. I will then give the characterization which is based on a generalized Fock space construction given by certain positive definite function on the infinite symmetric group.

Thursday, March 1, 2012

Graduate Analysis Seminar
5:00 pm   in 147 Altgeld Hall,  Thursday, March 1, 2012
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Submitted by funk3.
Kelly Funk (Department of Mathematics, University of Illinois at Urbana-Champaign)
Rigidity Across Dynamics
Abstract: We will discuss examples of rigidity and uniform rigidity sequences in ergodic theory. We will also discuss the problem of characterizing these sequences.

Thursday, March 29, 2012

Graduate Analysis Seminar
5:00 pm   in 147 Altgeld Hall,  Thursday, March 29, 2012
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Submitted by funk3.
Vyron Vellis (UIUC Math)
3-dimensional constructions in Geometric Function Theory
Abstract: In this talk I will present some 3-dimensional constructions in Geometric Function Theory made by Gehring and V\"ais\"al\"a which are generated by quasicircles and simple domains. We will investigate under which conditions on these simple domains, are these constructions quasispheres or quasiballs. If time permits I will present another construction which is made by Jang-Mei Wu and I. This talk will be accessible to every graduate student.

Thursday, April 12, 2012

Graduate Analysis Seminar
5:00 pm   in 147 Altgeld Hall,  Thursday, April 12, 2012
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Anton Lukyanenko (Department of Mathematics, University of Illinois at Urbana-Champaign)
Non-Euclidean analysis
Abstract: Many tools in analysis are based on the assumption of Euclidean geometry. One uses inner products, covering lemmas and other local properties of R^n. Focusing on the example of Sobolev maps into the Heisenberg group, I will show how analysis is different in the non-Euclidean world.

Thursday, April 26, 2012

Graduate Analysis Seminar
5:00 pm   in 147 Altgeld Hall,  Thursday, April 26, 2012
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Submitted by funk3.
Rami Luisto (University of Helsinki)
On the non-existence of BLD-mappings between manifolds
Abstract: I will give my talk about the main result of my Master's thesis [1]. The result can be seen to be a metric version of the Varopoulos theorem, which states that if N is a compact n-dimensional Riemannian manifold whose fundamental group has hyperbolic growth rate, then there exists no quasiregular mapping from the Euclidean n-space to N. In my thesis I translate this result to the metric setting by talking about path-metric manifolds and Bounded Length Distortion (BLD) mappings between them. A BLD mapping, in short, is an open, discrete and continuous mapping that preserves the lengths of rectifiable paths up to a fixed multiplicative constant. In my talk I will introduce the concepts of the growth rate of a finitely generated group, path-length structure of a manifold and the basic properties of Bounded Length Distortion mappings. If we have time left, I will talk about some results of my Licentiate's thesis which embetter the results given in my Master's thesis. There might be chocolate available during the presentation.

[1] Luisto, Rami. ``On the non-existence of BLD-mappings between manifolds.'' Master's thesis, available at http://helsinki.fi/~luisto/ProGradu.pdf