Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, March 27, 2018.

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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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Tuesday, March 27, 2018

11:00 am in 241 Altgeld Hall,Tuesday, March 27, 2018

#### Colored Jones polynomials and modular forms

###### Jeremy Lovejoy (Paris 7)

Abstract: In this talk I will discuss joint work with Kazuhiro Hikami, in which we use Bailey pairs and the Rosso-Jones formula to compute the cyclotomic expansion of the colored Jones polynomial of a certain family of torus knots. As an application we find quantum modular forms dual to the generalized Kontsevich-Zagier series. As another application we obtain formulas for the unified WRT invariants of certain 3-manifolds, some of which are mock theta functions. I will also touch on joint work with Robert Osburn, in which we compute a formula for the colored Jones polynomial of double twist knots.

12:00 pm in 243 Altgeld Hall,Tuesday, March 27, 2018

#### Compactifying Teichmueller Space Using the Right Trousers

###### Catherine Pfaff (University of California at Santa-Barbara)

Abstract: We introduce a new method for assigning to a marked hyperbolic metric on a closed surface S of genus at least 3 a measured foliation on S. These foliations provide a new naturality to the compactification of the Teichmueller space T(S) by projective measured foliations and allow one to decompose T(S) into copies of the Teichmueller space of a once-punctured torus. This is joint work with Daryl Cooper.

1:00 pm in 347 Altgeld Hall,Tuesday, March 27, 2018

#### Two endpoint bounds via inverse problems

###### Betsy Stovall (University of Wisconsin-Madison)

Abstract: In Mathematics in general, and Analysis in particular, one strategy for solving a problem is to begin by understanding what a counter-example would look like. In this talk, we will discuss two recent (and a few older) results for Fourier restriction operators and generalized Radon transforms that use a quantitative version of this approach. One of these results is joint work with Christ, Dendrinos, and Street.

3:00 pm in 243 Altgeld Hall,Tuesday, March 27, 2018

#### To Be Announced

###### Akhil Mathew (The University of Chicago)

4:00 pm in 314 Altgeld Hall,Tuesday, March 27, 2018

#### Mathematics of Crime

###### Andrea Bertozzi (UCLA)

Abstract: Dr. Bertozzi will talk about the fascinating story behind her participation on the UCLA team that developed a “predictive policing” computer program that zeros-in on areas that have the highest probability of crime, now used in over fifty cities worldwide. The diverse use of mathematics in studying residential burglaries, gang crimes and other criminal activities will also be discussed as well as new problems in machine learning related to crime data analysis for prediction and classification.

The Coble Memorial Lectures will be given March 27-29, 2018, by Andrea Bertozzi (UCLA). A reception will follow the first lecture on March 27 from 5-6 pm in 239 Altgeld Hall.