Un of Tenn | Math Department

Seminars and Colloquiums
for the week of January 16, 2012

Speaker:

Mr. Shuaibing Luo, Wednesday
Dr. Amy Szczepanski, UTK EECS, Thursday
Professor Charis Tsikkou, Ohio State University, Friday

If you are interested in giving or arranging a talk for one of our seminars or colloquiums,
please review our calendar.

If you have questions, or a date you would like to confirm, please contact Dr. Judy Day.

Wednesday, January 18

ANALYSIS SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres 112
SPEAKER: Shuaibing Luo, UTK
TITLE: Trace estimate of commutators of multiplication operators on function spaces.
ABSTRACT: I will present the Arveson's conjecture on the Drury-Arveson space, and some analogous results on Bergman space and Hardy space over the d-dimensional complex unit ball(d>2). I will then talk about the Schatten p class, and the estimate of Schatten 2p norm of commutators on Bergman and Hardy spaces.

Thursday, January 19

JUNIOR COLLOQUIUM
TIME: 3:35 – 4:25 p.m.
ROOM: Ayres 405
SPEAKER: Dr. Amy Szczepanski, UTK, Electrical Engineering and Computer Science
TITLE: Understanding the Encoding of JPEG Images
ABSTRACT: JPEG encoding allows large images to be represented as fairly small files.

This compression is achieved through clever use of algorithms that take advantage of the fact that pixel intensity and color both tend to change fairly gradually throughout an image.

We'll see how this property, together with well-chosen matrices and smart ways of representing long strings of zeros, allows the JPEG format to encode images efficiently. This talk should be accessible to anyone who is comfortable with matrix multiplication.

Pizza will be available at 3:15 p.m.

Friday, January 20

COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: Ayres 405
SPEAKER: Professor Charis Tsikkou, Ohio State University
TITLE: Conservation Laws with no Classical Riemann Solutions: Existence of Singular Shocks
ABSTRACT: Conservation laws are the most fundamental principles of mechanics. The basic tool in the construction of solutions to the Cauchy problem for conservation laws with smooth initial data is the Riemann problem. It consists of piecewise constant initial data having a single discontinuity at the origin.

In this talk I will review the results obtained for the solutions to the Riemann problem and present a system of two equations derived from isentropic gas dynamics with no classical solution. I will then use the blowing-up approach to geometric singular perturbation problems to show that the system exhibits unbounded solutions (singular shocks) with Dafermos profiles.

Refreshments will be available in Ayres 401 at 3:15 p.m.

Past notices:

winter break