# MSCS Seminar Calendar

Monday April 1, 2019

**Analysis and Applied Mathematics Seminar**

On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates

Ryan Obermeyer (University of Illinois at Chicago)

4:00 PM in 636 SEO

We study a generalized dissipative Gross-Pitaevskii-type model
arising in the description of exciton-polariton condensates. We derive rigorous
existence and uniqueness results for this model posed on the one dimensional
torus and derive various a-priori bounds on its solution. Then, we analyze
in detail the long time behavior of spatially homogenous solutions and their
respective steady states. In addition, we will present numerical simulations in
the case of more general initial data. We also study the corresponding adiabatic
regime which results in a single damped-driven Gross-Pitaveskii equation and
compare its dynamics to the one of the full coupled system.
Joint work with C. Sparber, P. Antonelli, P. Markowich, and J. Sierra

**Algebraic Geometry Seminar**

Stable restrictions of vector bundles on projective varieties

Jay Kopper (UIC)

4:00 PM in 427 SEO

Recent developments in the study of stable sheaves extend the notion of stability to the entire derived category. This broader perspective can be used to study the classical moduli space. In this talk I will discuss these ideas in the context of restriction theorems: situations in which a stable vector bundle remains stable when restricted to a subvariety. Derived category techniques can produce stronger restriction theorems than were previously available. I will discuss applications if time permits.

Thursday April 4, 2019

**AWM@UIC : Invited Speaker Series**

Conversation and Refreshments

Mimi Dai (UIC)

3:00 PM in 636 SEO

The talks in our invited speaker series feature a conversation and refreshments period to strengthen the community of women practicing mathematics in the Chicago area and to promote the work of women in mathematics. This is an opportunity for everyone in our department to become familiar with a few of the many accomplished women who currently practice mathematics in or near the city.

We will be serving light refreshments.

**AWM@UIC : Invited Speaker Series**

How does a mathematician reach reality?

Mimi Dai (UIC)

4:00 PM in 636 SEO

We will talk about various branches within the big subject of analysis in mathematics, with an emphasis on modern analysis topics in the last few decades. We will also highlight the contributions of a few prestigious female mathematicians in this field.

Mimi will give a talk following a mixer with light refreshments.

Friday April 5, 2019

Friday April 12, 2019

Monday April 15, 2019

Friday April 19, 2019

**Algebraic Geometry Seminar**

Double ramification cycles for target varieties

Rahul Pandharipande (ETH)

2:00 PM in 427 SEO

A basic question in the theory of algebraic curves is whether a
divisor represents the zeros and poles of a rational function.
An explicit solution in terms of periods was given by the work of Abel
and Jacobi in the 19th century. In the past few years, a different
approach to the question has been pursued: what is the class
in the moduli of pointed curves of the locus of such divisors? The
answer in Gromov-Witten theory is given by Pixton's formula
for the double ramification cycle. I will discuss recent work
with F. Janda, A. Pixton, and D. Zvonkine which considers
double ramification cycles for target varieties X (where Pixton's
original question is viewed as the X=point case). I will also
discuss the associated relations studied by Y. Bae.

Monday April 22, 2019

Wednesday April 24, 2019

**Algebraic Geometry Seminar**

Volumes and intersection theory on moduli spaces of abelian differentials

Dawei Chen (Boston College/IAS)

4:00 PM in 427 SEO

Computing volumes of moduli spaces has significance in many fields. For instance, the celebrated Witten's conjecture regarding intersection numbers on the Deligne-Mumford moduli space of stable curves has a fascinating connection to the Weil-Petersson volume, which motivated Mirzakhani to give a proof via Teichmueller theory, hyperbolic geometry, and symplectic geometry. The initial two other proofs of Witten's conjecture by Kontsevich and by Okounkov-Pandharipande also used various ideas in ribbon graphs, Gromov-Witten theory, and Hurwitz theory. In this talk I will introduce an analogous formula of intersection numbers on moduli spaces of abelian differentials that computes the Masur-Veech volumes. This is joint work with Moeller, Sauvaget, and Zagier (arXiv:1901.01785).

Friday April 26, 2019

Monday April 29, 2019

Tuesday April 30, 2019

Wednesday May 1, 2019

Monday May 6, 2019

Tuesday May 28, 2019

Monday September 9, 2019

Wednesday September 25, 2019

Wednesday October 9, 2019

Wednesday October 23, 2019

Friday November 1, 2019