Department of

Mathematics


Seminar Calendar
for Graduate analysis seminar events the year of Wednesday, September 13, 2017.

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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, April 11, 2017

3:00 pm in 241 Altgeld Hall,Tuesday, April 11, 2017

Equivalence of Quasiconvexity and Rank-One Convexity

Terry Harris   [email] (UIUC Math)

Abstract: In 1952 Morrey conjectured that quasiconvexity and rank-one convexity are not equivalent, for functions defined on m by n matrices. For two by two matrices this conjecture is still open. I will outline a proof that equivalence holds on the subspace of two by two upper-triangular matrices, which extends the result on diagonal matrices due to Müller. This is joint work with Bernd Kirchheim and Chun-Chi Lin.

Thursday, May 11, 2017

3:00 pm in 243 Altgeld,Thursday, May 11, 2017

The Complexity of Classifying Unitaries

Aristotelis Panagiotopoulos   [email] (UIUC Math)

Abstract: Classification problems occur in all areas of mathematics. Descriptive set theory provides methods for measuring the complexity of such problems. For example, using a technique developed by Hjorth, Kechris and Sofronidis proved that the problem of classifying all unitary operators of an infinite dimensional Hilbert space up to unitary equivalence is strictly more difficult than classifying graph structures on domain N up to isomorphism. In this talk I will review the basics from descriptive set theory and explain why the problem of classifying unitaries is so hard. Part of my talk will be based on recent joint work with Martino Lupini.

Friday, September 1, 2017

12:00 pm in 243 Altgeld Hall,Friday, September 1, 2017

Organizational meeting

All A. Vus (UIUC)

Abstract: We will compare our schedules and find a regular time for the seminar. Cookies will be provided.

Friday, September 8, 2017

12:00 pm in 243 Altgeld Hall,Friday, September 8, 2017

Life’s a blur, live on the edge

Derek Jung (UIUC)

Abstract: A focal problem in image processing is deblurring images and a common model for blurring images is convolution with a fixed kernel. I consider an integral operator arising from taking the blurred image of the edge of an opaque wall. I prove that the Tikhonov regularized problem for this operator is well-posed, which essentially means that one can invert the blurred image to the kernel continuously. This is joint work with Dr. Aaron Luttman and Dr. Kevin Joyce and was performed during a summer internship with National Security Technologies in Las Vegas. No background is necessary, but some knowledge of measure theory would be helpful.

Friday, September 15, 2017

12:00 pm in 243 Altgeld Hall,Friday, September 15, 2017

Fun with Heisenberg

Matt Romney (UIUC)

Abstract: This is an expository talk on a fascinating mathematical object, the Heisenberg group. It is the simplest example of what could be termed a "non-commutative vector space". Yet despite its simple definition, many basic questions about its geometry are still open. The Heisenberg group arises in a variety of mathematical contexts, most notably quantum mechanics and complex analysis of several variables. This talk will give a hands-on introduction to the Heisenberg group, and indicate some of its recent applications.

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.

Friday, September 29, 2017

12:00 pm in 243 Altgeld Hall,Friday, September 29, 2017

To Be Announced

Fernando Roman Garcia (UIUC)

Friday, October 6, 2017

12:00 pm in 243 Altgeld Hall,Friday, October 6, 2017

To Be Announced

Aubrey Laskowski (UIUC)

Friday, October 13, 2017

12:00 pm in 243 Altgeld Hall,Friday, October 13, 2017

To Be Announced

Hadrian Quan (UIUC)

Friday, October 20, 2017

12:00 pm in 243 Altgeld Hall,Friday, October 20, 2017

To Be Announced

Tim Drake (UIUC)

Friday, October 27, 2017

12:00 pm in 243 Altgeld Hall,Friday, October 27, 2017

To Be Announced

Maria Siskaki

Friday, November 3, 2017

12:00 pm in 245 Altgeld Hall,Friday, November 3, 2017

To Be Announced

Kimberly Duran (UIUC)

Friday, November 10, 2017

12:00 pm in 243 Altgeld Hall,Friday, November 10, 2017

To Be Announced

Lan Wang (UIUC)