Seminar Calendar
for Graduate Analysis Seminar events the year of Wednesday, November 4, 2009.

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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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Tuesday, August 25, 2009

Graduate Analysis Seminar
4:00 pm   in 345 Altgeld Hall,  Tuesday, August 25, 2009
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Submitted by wgreen4.
Organizational Meeting

Friday, September 4, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, September 4, 2009
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William Green (Department of Mathematics, University of Illinois)
Dispersive estimates for the Schrodinger equation in higher odd dimensions
Abstract: We will discuss time decay properties of the solution operator to the linear Schrodinger equation with a real-valued potential, $iu_t-\Delta u+Vu=0$ with inital data $u(x,0)=f(x)$ in $L^2$. A result of Goldberg and Visan in 2006 states that for the desired estimates to hold, the potential V must satisfy smoothness as well as decay conditions in higher dimensions. We will outline how to obtain the desired estimates with minimal smoothness assumptions. This work is joint with M. B. Erdogan.

Friday, September 11, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, September 11, 2009
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Steve Avsec (UIUC Math)
Fourier Multipliers on Discrete Groups
Abstract: We will discuss a noncommutative analogue of the classical theory of Fefferman and Stein. We will define BMO spaces in a quite general setting and use this and a factorization trick to study Fourier multiplier operators on discrete groups.

Friday, September 18, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, September 18, 2009
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Submitted by wgreen4.
Tom Cooney (UIUC Math)
A Hausdorff-Young Inequality for Locally Compact Quantum Groups
Abstract: The Fourier Transform and the Hausdorff-Young inequality are well-known results for locally compact abelian groups. Dropping the word "abelian" requires tools from the world of operator algebras.

Friday, October 2, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 2, 2009
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Submitted by wgreen4.
Dash Fryer (Department of Mathematics, University of Illinois)
To Be Announced

Friday, October 9, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 9, 2009
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Kelly Funk (Department of Mathematics, University of Illinois)
Introduction to Nonrecurrence in Ergodic Theory
Abstract: In this talk I will discuss the issue of nonrecurrence of a sequence of natural numbers. The talk will include some basic definitions in ergodic theory, preliminary results in recurrence, and some interesting questions related to characterizing sets of nonrecurrence. This talk should be accessible to all graduate students and everyone is encouraged to attend.

Friday, October 16, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 16, 2009
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Submitted by wgreen4.
Jesse Miller (Department of Mathematics, University of Illinois)
Nonstandard Analysis and an Application to Liftings
Abstract: I shall give an introduction to nonstandard analysis and its techniques, and, time permitting, discuss an application to liftings.

Friday, October 23, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 23, 2009
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Submitted by wgreen4.
Yi Hu (UIUC Math)
Periodic nonlinear Schrodinger equation
Abstract: We will investigate some estimates on exponential sums and then discuss the regularity of certain Schrodinger equations.

Friday, October 30, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 30, 2009
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Austin Rochford (UIUC Math)
Nuclearity and Tensor Products of C*-algebras
Abstract: Tensor products of C*-algebras need not have unique C*-norms. We explore the connection between nuclearity, a matrix approximation property, and the existence of a unique norm on the tensor product of two C*-algebras.

Friday, November 6, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, November 6, 2009
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Submitted by wgreen4.
Vyron Vellis (Department of Mathematics, University of Illinois)
Quasisymmetic Maps
Abstract: Quasisymmetic Maps are the immediate generalization of Quasiconformal Maps in General Metric Spaces. In this talk I will present the basic theory of these functions, the connection with Quasiconformal Maps in Euclidean Spaces and some open problems. If time permits I will prove some of the basic statements.

Friday, November 13, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, November 13, 2009
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Submitted by wgreen4.
Chris Bonnell (Department of Mathematics, University of Illinois)
Stochastic Resonance
Abstract: Stochastic resonance is a feature of certain nonlinear dynamical systems which causes them to become more efficient in the presence of noise. This talk will focus mainly on a description of this feature, and some examples. It should be accessible to everyone.

Friday, December 4, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, December 4, 2009
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Submitted by wgreen4.
Johann Thiel (UIUC Math)
To Be Announced