Department of

# Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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1  2  3  4  5                   1  2    1  2  3  4  5  6  7
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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