Seminar Calendar
for Analysis Seminar events the next 12 months of Saturday, August 1, 2009.

     .
events for the
events containing  

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery. 
      July 2009             August 2009           September 2009   
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
           1  2  3  4                      1          1  2  3  4  5
  5  6  7  8  9 10 11    2  3  4  5  6  7  8    6  7  8  9 10 11 12
 12 13 14 15 16 17 18    9 10 11 12 13 14 15   13 14 15 16 17 18 19
 19 20 21 22 23 24 25   16 17 18 19 20 21 22   20 21 22 23 24 25 26
 26 27 28 29 30 31      23 24 25 26 27 28 29   27 28 29 30         
                        30 31

Tuesday, August 25, 2009

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

Thursday, August 27, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, August 27, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Mathilde Perrin (Universite de Franche-Comte, Besancon, France)
Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales

Friday, September 4, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, September 4, 2009
 Del 
 Edit 
 Copy 
Submitted by wgreen4.
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
 Del 
 Edit 
 Copy 
Submitted by wgreen4.
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
 Del 
 Edit 
 Copy 
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.

Thursday, October 1, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, October 1, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Richard Rochberg (Washington University, St. Louis)
The Dirichlet Space and Related Spaces of Holomorphic Functions
Abstract: The Dirichlet space is the space of holomorphic functions on the unit disk with square integrable derivative (i.e. with finite Dirichlet integral). I will discuss recent function theoretic and operator theoretic results for this space of functions and for some related spaces.

Friday, October 2, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 2, 2009
 Del 
 Edit 
 Copy 
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
 Del 
 Edit 
 Copy 
Submitted by wgreen4.
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.

Thursday, October 15, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, October 15, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Alexander Tumanov (Department of Mathematics, University of Illinois)
Global Beltrami equation on the torus
Abstract: Beltrami equation is a generalized Cauchy-Riemann equation for conformal maps. For the Riemann sphere, the global solution follows from the local one and the general uniformization theorem. Ahlfors and Vekua in 1955 independently gave direct solutions to the global problem on the sphere. We give an analogue for the torus. The solution is explicit and may be useful in applications such as Calderon's inverse conductivity problem.

Friday, October 16, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 16, 2009
 Del 
 Edit 
 Copy 
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
 Del 
 Edit 
 Copy 
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.

Thursday, October 29, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, October 29, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Alexander Tumanov (Department of Mathematics, University of Illinois)
Thom's transversality and Whitney's approximation theorems for pseudo-holomorphic discs
Abstract: Singularities of holomorphic curves can be perturbed away locally. The corresponding result for pseudoholomorphic curves was proved (McDuff, 1991) by analyzing singularities of the curves. We prove a global version for pseudo-holomorphic discs. Following the proof in the smooth category, we derive the result from a version of Thom's transversality theorem. The main difficulty in the proof is that the equation for infinitesimal perturbations of big pseudo-holomorphic discs a priori involves an integral operator with nontrivial kernel. This is a joint work with A. Sukhov.

Friday, October 30, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, October 30, 2009
 Del 
 Edit 
 Copy 
Submitted by wgreen4.
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
 Del 
 Edit 
 Copy 
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.

Thursday, November 12, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, November 12, 2009
 Del 
 Edit 
 Copy 
Submitted by rosnbltt.
Chris Wedrychowicz (Indiana University, South Bend)
Almost Everywhere Convergence Of Convolution Powers Without Finite Second Moment
Abstract: We extend a result of Calderon and Bellow concerning the a.e convergence of convolution powers of measures having finite second moment. This will be accomplished through weakening the requirement that the Fourier transform of the measure is twice continuously differentiable.

Friday, November 13, 2009

Graduate Analysis Seminar
4:00 pm   in 341 Altgeld Hall,  Friday, November 13, 2009
 Del 
 Edit 
 Copy 
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.

Thursday, November 19, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, November 19, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Stephen Dilworth (University of South Carolina)
Convergence of some greedy algorithms in Banach spaces

Tuesday, December 1, 2009

Analysis Seminar
2:00 pm   in 241 Altgeld Hall,  Tuesday, December 1, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Guan Yuan Zhang (Tsing Hua University, China)
The best bound of the area-length ratio in Ahlfors' covering surface theory
Abstract: Let $D$ be a closed disk in the complex plane and let $S$ be the unit Riemann sphere. A basic consequence of Ahlfors' theory of covering surfaces is that there exists an absolute constant $h$ such that for any nonconstant holomorphic mapping $f$ from $D$ into $S$, if $f$ does not take the three values $0$, $1$ and infinity, then $A/L < h$, where $A$ is the area of the image of $D$ and $L$ is the length of the image of the boundary of $D$, both counting multiplicities.  We will introduce our recent work that give the precise bound of the ratio $A/L$. We indeed develop a new method whose starting points are a classical isoperimetric inequality of unit sphere due to F. Bernstein, a few simple observations, and some new results, such as the Triangle Lifting Lemma, the $4\pi$-Reducing Lemma, and a Theorem for treating non-convex vertices of polygonal boundary value curves of normal mappings defined in our paper.

Thursday, December 3, 2009

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, December 3, 2009
 Del 
 Edit 
 Copy 
Submitted by aimo.
Prof. ChiKeung Ng (Chern Institute of Mathematics, Nankai University, Tianjin, China)
Linear orthogonality preservers of Hilbert C∗-modules
Abstract: Let A be a C*-algebra, and let E and F be Hilbert A-modules with E being full. A linear map T: E -> F is said to be local if T(x)a = 0 whenever xa=0 for x in E and a in A, and T is said to be orthogonality preserving if = 0 whenever = 0 (x,y in E). In this talk, we consider the following question: If T is an orthogonality preserving local linear map, does there exist a central positive multiplier u in M(A) such that < T(x), T(y) > = u < x, y > (x,y in E) ? We show that this question has a positive answer in the following 5 situations: 1. A is a commutative C*-algebra; 2. A is a W*-algebra; 3. A is a standard C*-algebras; 4. A is a unital properly infinite C*-algebra; 5. T is an A-module map (with no assumption on A).

Friday, December 4, 2009

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