MSCS Seminar Calendar

Monday April 21, 2014
pdf * Graduate Geometry, Topology and Dynamics Seminar
Maximal designs of curves on surfaces
Jonah Gaster (UIC)
3:00 PM in SEO 612

pdf * Graduate Theoretical Computer Science Seminar
Statistical Algorithms and Lower Bounds for Planted Clique
Lev Reyzin (UIC)
3:00 PM in SEO 427

pdf * Applied Mathematics Seminar
$L^2$ asymptotic stability of mild solutions to the Navier-Stokes system
Maria Schonbek (University of California, Santa Cruz)
4:00 PM in SEO 636
We consider the initial value problem for the Navier-Stokes equations modeling an incompressible fluid in three dimensions: $$ u_t + u\cdot \nabla u +\nabla p = \Delta u +F,\;\;\; (x,t) \in \mathbb{R}^3\times (0,\infty), $$ $$ \mbox{div}\; u=0\,, $$ $$ u(x,0) =u_0(x)\,. $$
It is well-known that this problem has a unique global-in-time mild solution for a sufficiently small initial condition $u_0$ and for a small external force $F$ in suitable scaling invariant spaces. We show that these global-in-time mild solutions are asymptotically stable under every (arbitrary large) $L^2$-perturbation of their initial conditions.
Tuesday April 22, 2014
pdf * Graduate Statistics Seminar
Integrative network analysis of TCGA data for ovarian cancer
Qingyang Zhang (Northwestern)
3:30 PM in SEO 636
Traditional cancer studies have been mainly focusing on single gene or single type of data including mRNA expression, DNA methylation, copy number variation, and etc. However, such analyses lack power to reveal the molecular mechanisms from the view of system biology. In this talk, I will present an integrative framework to identify important genetic and epigenetic features and to quantify the causal relations among these features. I will first talk about what is a Bayesian Network and what the TCGA data looks like. Then I will introduce the proposed feature selector and Bayesian Network model. Simulated and real data sets will be used for illustration.

pdf * Logic Seminar
The tree property
Itay Neeman (UCLA)
4:00 PM in SEO 427
Wednesday April 23, 2014
pdf * Geometry, Topology and Dynamics Seminar
Regular CAT(0) Cube Complexes
Nir Lazarovich (Techion)
3:00 PM in SEO 612
Over the past years CAT(0) cube complexes have played a major role in geometric group theory and have provided many examples of interesting group actions on CAT(0) spaces. In the search for highly symmetric CAT(0) cube complexes -- just as for their 1-dimensional analogues, trees -- it is natural to consider the sub-class of “regular” CAT(0) cube complexes, i.e., cube complexes with the same link at each vertex. However, unlike regular trees, general regular CAT(0) cube complexes are not necessarily uniquely determined by their links. In this talk, we will discuss a necessary and sufficient condition for uniqueness. We will then explore some examples of unique regular cube complexes and the properties of their automorphism groups.

pdf * Algebraic Geometry Seminar
A simplicial approach to effective divisors in $\bar{M}_{0,n}$
Noah Giansiracusa (UC Berkeley)
4:00 PM in SEO 427
The moduli space $\bar{M}_{0,n}$, a compactification of the space of n distinct points on the Riemann sphere, has served as a fertile testing ground to explore many phenomena of moduli spaces in algebraic geometry. One tantalizing question is to describe the convex cone of effective divisor classes and Cox ring of these spaces. I'll discuss joint work with B. Doran and D. Jensen in which we provide a new perspective on this question in terms of simplicial complexes and show how this relates to recent exciting work of Castravet, Tevelev, and Opie.
Thursday April 24, 2014
pdf * Graduate Number Theory Seminar
Height Functions
Dylon Chow (UIC)
3:00 PM in SEO 512
Fundamental to the proofs of several important results in arithmetic geometry (e.g. the Mordell-Weil Theorem and Faltings' Theorem) is a way of assigning a size to points on a variety. Weil's height machine turns geometric properties of the variety into arithmetic information about the points on the variety. If time permits, we will discuss the conjectures of Batyrev and Manin on the distribution of rational points.

pdf * Graduate Computational Algebraic Geometry Seminar
An implementation of the Newton-Puiseux algorithm with applications
Nathan Bliss (UIC)
4:00 PM in SEO 1227
Friday April 25, 2014
pdf * Departmental Colloquium
Combinatorics and topology of toric maps
Mircea Mustata (University of Michigan)
3:00 PM in SEO 636
Toric varieties are algebraic varieties endowed with a "nice" action of an algebraic torus. A remarkable feature is that their geometry can be fully described in terms of combinatorics of fans and polytopes. After explaining what these objects are and some classical facts about their cohomology, I will discuss some results concerning the topology of the fibers of toric maps and a combinatorial invariant that comes out of these considerations. This is based on joint work in progress with Marc de Cataldo and Luca Migliorini.
Monday April 28, 2014
pdf * Geometry, Topology and Dynamics Seminar
TBA
Spencer Dowdall (Univ. of Illinois Urbana-Champaign)
3:00 PM in SEO 636
Tuesday April 29, 2014
pdf * Graduate Statistics Seminar
TBA
Jing Wang (UIC)
3:30 PM in SEO 636

pdf * Logic Seminar
TBA
Slawomir Solecki (UIUC)
4:00 PM in SEO 427
Wednesday April 30, 2014
pdf * Statistics Seminar
TBA
Prof. Dacheng Xiu (University of Chicago)
4:00 PM in SEO 636
Thursday May 1, 2014
pdf * Louise Hay Logic Seminar
Model Theory of Ultrametric Spaces
Gabriel Conant (UIC)
3:00 PM in SEO 427
We construct the universal Polish ultrametric space with rational spectrum, and then prove some model theoretic properties of its theory.
Friday May 2, 2014
pdf * Departmental Colloquium
Atkin Memorial Lecture
Showu Zhang (Princeton University)
3:00 PM in TBA
The talk is followed by reception, dinner, and a workshop on Saturday and Sunday. Details to follow.
Monday September 15, 2014
pdf * Applied Mathematics Seminar
TBA
David Ambrose (Drexel University)
4:00 PM in SEO 636
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