# MSCS Seminar Calendar

Monday November 23, 2015
Model Theory Seminar
On "Regularity lemma for distal structures" Part III
Caroline Terry (UIC)
2:00 PM in SEO 427
We will be discussing the paper "Regularity lemma for distal structures" by Chernikov and Starchenko.

Geometry, Topology and Dynamics Seminar
Where does the Spin-Statistics Theorem come from?
Theo Johnson-Freyd (Northwestern University )
3:00 PM in SEO 636
The "spin-statistics theorem" is a physical phenomenon in which spinors --- (-1)-eigenstates of rotation by 360° --- are the same as fermions --- (-1)-eigenstates of switching two identical particles. Physicists usually understand this phenomenon as a fact about certain representations of the Lorentz group. In this talk I will give a very different mathematical "origin" of the spin-statistics theorem. I will explain that spin-statistics arises in precisely the same was as does the physical phenomenon of "unitarity", which in turn depends on a fundamental but nontrivial coincidence: the absolute Galois group of R happens to equal the group of connected components of the orthogonal group. This talk will assume no knowledge of physics.

Set Theory Seminar
Forcing with Side Conditions (Part IV)
Sherwood Hachtman (UIC)
3:00 PM in TH 321
We review the proof of the consistency of the Proper Forcing Axiom from a supercompact cardinal, and define the side conditions forcing to obtain Con(PFA) using a finite support iteration.

Combinatorics Seminar
Point-curve incidences in the complex plane
Josh Zahl (MIT)
3:00 PM in SEO 427
The past few years have seen a flurry of new incidence results in the wake of Guth and Katz's seminal paper on the Erdős distinct distance problem. To date, most of these incidence theorems only apply to points and algebraic varieties in (real) Euclidean space. In many cases it is reasonable to expect that analogous theorems should hold over C, but limited progress has been made in this direction. In this talk, I will discuss a new point-curve incidence theorem in the complex plane. This is joint work with Adam Sheffer.

Analysis and Applied Mathematics Seminar
On Regularity Properties for Fluid Equations
Karen Zaya (UIC)
4:00 PM in SEO 636
Fundamental mathematical questions about the 3D Navier-Stokes remain unanswered, such as the question of the regularity of solutions to the equations. Thus it is natural to ask: If we assume a smooth solution to the 3D Navier-Stokes equations $u$ loses regularity at time $T^*$, what is the rate of blow-up? In this talk, we discuss blow-up rates of solutions in the homogeneous Sobolev spaces, in particular the new result in $\dot{H}^\frac{3}{2}$. We will also discuss a newly developed regularity criterion for the 3D Boussinesq equations, which only imposes a condition on the low modes of the velocity $u$. The key tool in the development of this weaker regularity criterion is linked to the dissipation wave number.
Tuesday November 24, 2015
Quantum Topology / Hopf Algebra Seminar
Kirby Calculus and Quantum Link Invariants
Louis H Kauffman (UIC)
3:00 PM in SEO 612
This is a self-contained, elementary talk about how quantum link invariants like the Jones polynomial can be used to make topological invariants of three dimensional manifolds.

Logic Seminar
Infinite Time Turing Machines and Determinacy
Sherwood Hachtman (UIC)
4:00 PM in SEO 427
Infinite time Turing machines, introduced by Hamkins and Kidder, extend the usual notion of Turing computability by allowing the machine to proceed for an arbitrary ordinal number of steps. These machines may either halt or enter a loop at some countable ordinal stage; thus there are several feasible notions of "Turing jump" for infinite time Turing computability. I will discuss a recent result of Philip Welch illustrating an intimate connection between the jump operator identifying those computations which "eventually settle" (loop with fixed output), and $\Sigma^0_3$ determinacy.
Wednesday November 25, 2015
Algebraic Geometry Seminar
NO SEMINAR
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4:00 PM in SEO 427
Monday November 30, 2015
Geometry, Topology and Dynamics Seminar
The diameter of the $L^1$-metric on the group of area-preserving diffeomorphisms of $S^2$.
Egor Shelukhin (Institute for Advanced Study, Princeton)
3:00 PM in SEO 636
We use a geometric idea to give an analytic estimate for the word-length in the pure braid group of $S^2$. This yields that the $L^1$-norm (and hence each $L^p$-norm, including $L^2$) on the area-preserving diffeomorphism group of $S^2$ is unbounded. This solves an open question arising from the work of Shnirelman and Eliashberg-Ratiu. Joint work in progress with Michael Brandenbursky.

The p-adic Mandelbrot Set and Other Peculiarities of Arithmetic Dynamics
Cara Mullen (UIC)
4:00 PM in BH 209
The goal of this talk is to introduce the subject of p-adic dynamics: the study of dynamics over a field that is complete with respect to a nonarchimedean absolute value. We will discuss some of the major results, with a little motivation from classical complex dynamics. No previous knowledge of dynamical systems or number theory will be assumed.
Wednesday December 2, 2015
Statistics Seminar
Spatial asymptotics for the parabolic Anderson models with generalized time-space Gaussian noise
Xia Chen (University of Tennessee)
4:00 PM in SEO 636
This work is concerned with the precise spatial asymptotic behavior for the parabolic Anderson equation $$\frac{\partial u}{\partial t}(t,x)=\frac{1}{2}\triangle u(t,x)+V(t,x)u(t,x),\quad\quad\mathrm{with}\ u(0,x)=u_0(x),$$ where the homogeneous generalized Gaussian noise $V(t,x)$ is, among other forms, white or fractional white in time and space. Associated with the Cole-Hopf solution to the KPZ equation, in particular, the precise asymptotic form $$\lim_{R\to+\infty}(\log R)^{-2/3}\log\max_{|x|\leq R}\, u(t,x)=\frac{3}{4}\sqrt[3]{\frac{2t}{3}}\quad \mathrm{a.s.}$$ is obtained for the parabolic Anderson model $\partial_t u=\frac{1}{2}\partial^2_{xx}u+\dot{W}u$ with the $(1+1)$-white noise $\dot{W}(t,x)$.
Thursday December 3, 2015
Louise Hay Logic Seminar
TBA
Jonathan Wolf (UIC)
4:00 PM in SEO 427
Friday December 4, 2015
Departmental Colloquium
Numerical Simulation of Wave Propagation
David Nicholls (UIC)
3:00 PM in SEO 636
The interaction of waves (acoustic, electromagnetic, elastic) with layered media plays an important role in many scientific problems. Among these are seismic imaging, underwater acoustics, biosensing, and solar cells. The ability to simulate scattered fields from these structures in a robust and highly accurate fashion is of fundamental importance. In this talk we will describe a class of rapid and highly accurate boundary perturbation schemes, termed High--Order Perturbation of Surfaces'' (HOPS) Methods, for delivering such numerical approximations. Time permitting we will describe our efforts to not only detect layered media geometries based upon far--field data, but also design these structures to have optimal scattering properties.
Tea at 4:15 PM in SEO 300
Tuesday December 8, 2015
Quantum Topology / Hopf Algebra Seminar
On infinitesimal bending
Ljubica S. Velimirovic (Faculty of Science and Mathematics, University of Nis, Serbia)
3:00 PM in SEO 612
We will consider infinitesimal bending problems related to change of geometric magnitudes at Euclidean and Generalised Riemannian Space. Recent results of the author and cooperators Svetislav Mincic, Mica Stankovic, Marija Najdanovic, Milan Zlatanovic, Milica Cvetkovic and Nikola Velimirovic will be mentioned.
Monday December 14, 2015
Geometry, Topology and Dynamics Seminar
TBA
Neil Hoffman (University of Melbourne)
3:00 PM in SEO 636
Monday January 25, 2016
Analysis and Applied Mathematics Seminar
TBA
Hao Jia (University of Chicago)
4:00 PM in SEO 636
Monday February 1, 2016
Analysis and Applied Mathematics Seminar
TBA
Christian Ringhofer (Arizona State University)
4:00 PM in SEO 636
Monday February 8, 2016
Analysis and Applied Mathematics Seminar
TBA
Brittany Froese (New Jersey Institute of Technology)
4:00 PM in SEO 636
Tuesday February 9, 2016
Logic Seminar
TBA
Sean Cox (Virginia Commonwealth University)
4:00 PM in SEO 427
Monday February 22, 2016
Analysis and Applied Mathematics Seminar
Bitcoin Protocol: A Detailed Look
Andrew Sward (Augustana College)
4:00 PM in SEO 636
Friday February 26, 2016
Departmental Colloquium
TBA
Ingrid Daubechies (Duke University)
3:00 PM in SEO 636
Professor Daubechies is the 2015-2016 WISEST Distinguished Visiting Scholar.
Monday February 29, 2016
Analysis and Applied Mathematics Seminar
TBA
Mahmood Jokar (Iran University of Science and Technology)
4:00 PM in SEO 636
TBA
Monday March 14, 2016
Analysis and Applied Mathematics Seminar
TBA
Shuwen Lou (UIC)
4:00 PM in SEO 636
Wednesday March 30, 2016
Statistics Seminar
TBD
Jyotirmoy Sarkar (IUPUI)
4:00 PM in SEO 636
Wednesday April 6, 2016
Algebraic Geometry Seminar
TBA
Marton Hablicsek (Penn)
4:00 PM in SEO 427
Friday April 29, 2016
Departmental Colloquium
Atkin Memorial Lecture
Henri Gillet (UIC)
3:00 PM in TBA
UIC LAS MSCS seminars seminar calendar