Department of

Mathematics


Seminar Calendar
for events the day of Friday, April 8, 2016.

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Friday, April 8, 2016

12:00 pm in 141 Altgeld,Friday, April 8, 2016

Distribution of periodic continued fractions

Byron Heersink (UIUC Math)

Abstract: In this talk, we outline a result of Pollicott which established the equidistribution of the periodic continued fractions with respect to the Gauss measure when they are ordered according to the length of corresponding closed geodesics on the modular surface. The method of proof involves the study of certain holomorphic families of nuclear operators on the disk algebra, and in particular, the use of their determinants to form the Laplace transforms of sums of functions over the periodic continued fractions.

4:00 pm in 241 Altgeld Hall,Friday, April 8, 2016

Experiments in knot theory

Malik Obeidin (UIUC Math)

Abstract: One of the big benefits of restricting to low dimensions in topology is the combinatorial nature of a lot of the objects involved. This gives us leeway to use computer experiment to study what a "typical" object might look like. We'll take a look at knot theory - in particular, the geometry of random links.

4:00 pm in 345 Altgeld Hall,Friday, April 8, 2016

A foundational look at entropy and the second law of thermodynamics after Lieb and Yngvason

Mahmood Etedadialiabadi (UIUC)

Abstract: We will go over "A guide to entropy and the second law of thermodynamics" by Elliott H. Lieb and Jakob Yingvason, Notices of the AMS, 1998. This is the second talk on this topic.