MSCS Seminar Calendar

Monday October 20, 2014
pdf * Model Theory Seminar
Covers of the multiplicative group I
David Marker (UIC)
1:00 PM in SEO 427
We will prove Zilber's categoricity result for covers of the multiplicative group. The BHHKK Theorem greatly simplifies the proof as we need only show quasiminimality and need not worry about excellence. For this version we can get by with a simplified version of the "Thumbtack Lemma" which we will also prove. The later proof is a special case of a result of Bays, Gavrilovich and Hils.

pdf * Graduate Number Theory Seminar
Subsets are Balanced in Finite Groups
Kevin Vissuet (UIC)
3:00 PM in SEO 712
The sumset is one of the most basic and central objects in additive number theory. Many of the most important problems (such as Goldbach's conjecture and Fermat's Last theorem) can be formulated in terms of the sumset $S + S = \{x+y : x,y\in S\}$ of a set of integers $S$. A finite set of integers $A$ is sum-dominated if $|A+A| > |A-A|$. Though it was believed that the percentage of subsets of $\{0,\dots,n\}$ that are sum-dominated tends to zero, in 2006 Martin and O'Bryant proved a very small positive percentage are sum-dominated if the sets are chosen uniformly at random (through work of Zhao we know this percentage is approximately $4.5 \cdot 10^{-4}$). While most sets are difference-dominated in the integer case, this is not the case when we take subsets of many finite groups. We show that if we take subsets of larger and larger finite groups uniformly at random, then not only does the probability of a set being sum-dominated tend to zero but the probability that $|A+A|=|A-A|$ tends to one, and hence a typical set is balanced in this case.

pdf * Combinatorics Seminar
Grid Ramsey problem and related questions
Choongbum Lee (MIT)
3:00 PM in SEO 427
The Hales--Jewett theorem is one of the pillars of Ramsey theory, from which many other results follow. A celebrated theorem of Shelah says that Hales--Jewett numbers are primitive recursive. A key tool used in his proof, now known as the cube lemma, has become famous in its own right. In its simplest form, this lemma says that if we color the edges of the Cartesian product $K_n \times K_n$ in $r$ colors then, for $n$ sufficiently large, there is a rectangle with both pairs of opposite edges receiving the same color. Shelah's proof shows that $n = r^{{r+1\choose 2}} + 1$ suffices, and more than twenty years ago, Graham, Rothschild and Spencer asked whether this bound can be improved to a polynomial in $r$. We show that this is not possible by providing a superpolynomial lower bound in $r$. We will also discuss a deep connection between this problem and generalized Ramsey numbers, and present a solution to a problem of Erd\H{o}s and Gy\'arf\'as on the transition of asymptotics of generalized Ramsey numbers. Joint work with David Conlon (Oxford), Jacob Fox (MIT), and Benny Sudakov (ETH Zurich)

pdf * Geometry, Topology and Dynamics Seminar
Commuting homeomorphisms with non-commuting lifts
Kiran Parkhe (Technion University, Israel)
3:00 PM in SEO 636
Let $M$ be a manifold, and $f, g: M \to M$ commuting homeomorphisms. We consider whether there exist lifts of $f$ and $g$ to the universal cover of $M$ that also commute. We especially focus on the case where $f$ and $g$ are homotopic to the identity, so there are distinguished homotopy lifts.
We will see that the only two-manifold admitting commuting homeomorphisms with non-commuting homotopy lifts is the open annulus, and examples among closed three-manifolds are also quite limited. The proof uses a dynamical tool called homological rotation vectors, and Thurston's Geometrization Theorem in the latter case. Time permitting, we will specialize to the open annulus, and study what these examples can look like.

pdf * Applied Mathematics Seminar
Fritz John's ellipsoid theorem in frame theory
Kasso Okoudjou (University of Maryland)
4:00 PM in SEO 636
In this talk I will introduce the notion of finite frames and present some of their elementary properties. In particular, I will focus on a class of optimally conditioned frames called tight frames. A question that one could ask is wether one can perfectly precondition a frame, i.e., one can modify it in such a way that it becomes optimally conditioned. In the last part of the talk, I will show how the Fritz John ellipsoid theorem can be used to settle this question. I will conclude by giving various characterization of the class of perfectly preconditioned frames.
Tuesday October 21, 2014
pdf * Number Theory Working Seminar
Arithmetic properties of rings
Thomas Insley (University of Illinois at Chicago)
9:00 AM in SEO 427

pdf * Number Theory Seminar
Frobenius traces of Drinfeld modules
Abel Castillo (University of Illinois at Chicago)
11:00 AM in SEO 427

pdf * Quantum Topology / Hopf Algebra Seminar
Logical Question Theory
Roy Lisker (Institute Henri Poincare, Paris)
3:00 PM in SEO 612
This talk is the first of two talks. The second is entitled "Quantum Question Theory". A mathematical formalism for the basic syntactic structure of a well-formed question is described as a pair of schemas - the interrogation phase and the response phase. Errors arise from confusing the syntactic categories of a question. A particular application of this framework to quantum experiments leads to a different way of treating questions, proper to quantum theory alone, which the speaker calls quantum question theory.

pdf * Algebraic Geometry Seminar
Cartan-Fubini type extension of holomorphic maps preserving webs of rational curves
Jun-Muk Hwang (Korea Institute for Advanced Study (KIAS))
4:00 PM in SEO 636
Let $X_1$ and $X_2$ with $\mathrm{dim} X_1 = \mathrm{dim} X_2$ be two projective manifolds of Picard number 1 in projective space. Assume that both $X_1$ and $X_2$ are covered by lines. Let $\varphi: U_1 \to U_2$ be a biholomorphic map between two connected Euclidean open subsets $U_1 \subset X_1$ and $U_2 \subset X_2$. Suppose that both $\varphi$ and $\varphi^{-1}$ send pieces of lines to pieces of lines. We show that $\varphi$ can be extended to a biregular morphism $\Phi: X_1 \to X_2$. This was proved by Hwang-Mok in 2001 when the indices of $X_1$ and $X_2$ are bigger than 2 and the new result is when the indices are 2. In this case, the covering family of lines form webs of rational curves. We exploit the monodromy of the webs of lines to extend the holomorphic map.

pdf * Graduate Analysis Seminar
Applications of Fourier Series
Keaton Quinn (UIC)
4:00 PM in SEO 512
We'll continue our crash course in harmonic analysis today with an overview of some applications of Fourier series, such as the heat equation on a circle, the isoperimetric inequality and Weyl's equidistribution theorem.
Wednesday October 22, 2014
pdf * Graduate Theoretical Computer Science Seminar
FOCS 2014 Mini-lectures! (continued)
N/A (UIC)
2:00 PM in SEO 427

pdf * Graduate Algebraic Geometry Seminar
The Noether-Lefschetz Theorem or: How Picard Groups are Blind
Daniel McLaury (UIC)
2:00 PM in SEO 712
I will present a degeneration-based proof of the Noether-Lefschetz theorem by Griffiths and Harris.

pdf * Graduate Combinatorics Seminar
The complexity of counting
Sam Cole
4:00 PM in SEO 512

pdf * Statistics Seminar
Universally optimal designs for two interference models
Wei Zheng (IUPUI)
4:00 PM in SEO 636
A systematic study is carried out regarding universally optimal designs under the interference model, previously investigated by Kunert and Martin (2000) and Kunert and Mersmann (2011). Parallel results are also provided for the undirectional interference model, where the left and right neighbor effects are equal. It is further shown that the efficiency of any design under the latter model is at least its efficiency under the former model. Designs universally optimal for both models are also identified. Most importantly, this paper provides Kushner's type linear equations system as a necessary and sufficient condition for a design to be universally optimal. This result is novel for models with at least two sets of treatment-related nuisance parameters, which are left and right neighbor effects here. It sheds light on other models in deriving asymmetric optimal or efficient designs.

pdf * Algebraic Geometry Seminar
Kodaira vanishing for q-ample divisors
Alex Kuronya (Budapest University of Technology and Economics)
4:00 PM in SEO 427
Line bundles sharing some but not all the good properties of ampleness have been investigated for quite some time, here we will focus on the cohomological point of view. Building on earlier work of Sommese and Demailly-Peternell-Schneider, Totaro came up with a very satisfactory theory of line bundles with partially vanishing higher cohomology to which we will refer as q-ample.
As it turns out, q-ampleness gives rise to interesting applications, including a useful concept of ampleness for subvarieties, where among others, one retains a Lefschetz hyperplane theorem (as showed by Ottem). The main focus of this talk will be a generalization of Kodaira vanishing to q-ample line bundles.
Thursday October 23, 2014
pdf * Quantum Topology / Hopf Algebra Seminar
Quantum Question Theory
Roy Lisker (Institute Henri Poincare, Paris)
3:00 PM in SEO 612
This talk is the second of two talks. The first is entitled "Logical Question Theory". A mathematical formalism for the basic syntactic structure of a well-formed question is described as a pair of schemas - the interrogation phase and the response phase. Errors arise from confusing the syntactic categories of a question. A particular application of this framework to quantum experiments leads to a different way of treating questions, proper to quantum theory alone, which the speaker calls quantum question theory.

pdf * Louise Hay Logic Seminar
Scott sets and standard systems
Sam Ziegler (UIC)
4:00 PM in SEO 427
Scott sets are exactly the standard systems of nonstandard models of PA.
Friday October 24, 2014
pdf * Algebraic Topology Seminar
Duality and Tilting for Commutative DG Rings
Amnon Yekutieli (Ben Gurion University)
2:00 PM in SEO 1227
We study super-commutative nonpositive DG rings. An example is the Koszul complex associated to a sequence of elements in a commutative ring. More generally such DG rings arise as semi-free resolutions of rings. They are also the affine DG schemes in derived algebraic geometry. The theme of this talk is that in many ways a DG ring A resembles an infinitesimal extension, in the category of rings, of the ring H^0(A).
I first discuss localization of DG rings on Spec(H^0(A)) and the cohomological noetherian property. Then I introduce perfect, tilting and dualizing DG A-modules. Existence of dualizing DG modules is proved under quite general assumptions. The derived Picard group DPic(A) of A, whose objects are the tilting DG modules, classifies dualizing DG modules. It turns out that DPic(A) is canonically isomorphic to DPic(H^0(A)), and that latter group is known by earlier work. A consequence is that A and H^0(A) have the same (isomorphism classes of) dualizing DG modules.

pdf * Departmental Colloquium
Survival Analysis and Some Recent Developments
Jianguo Sun (University of Missouri)
3:00 PM in SEO 636
Survival analysis is one of major and important fields in statistics and this is especially true from the point of biological and medical research. In addition, we also see the increasing of its applications in many other fields including demography, economics finance, political science, psychology and sociology. In this talk, we will first give some basic and simple introduction of survival analysis and then discuss several current research topics in the field related to the analysis of interval-censored survival data, a special and common type of survival data.
Monday October 27, 2014
pdf * Geometry, Topology and Dynamics Seminar
Horseshoe-like maps of plane and symbolic dynamics
Sonja Stimac (University of Zagreb and IUPUI)
3:00 PM in SEO 636
I will present a possible approach to coding of attractors of horseshoe-like maps of plane (such as the H\'enon and Lozi maps). I will also discuss some techniques which can be used if an attractor is characterized by an appropriate countable collection of sequences of 0s and 1s (which play role of ``kneading sequences'' of ``critical points''). I will show necessary and sufficient conditions for a sequence of 0s and 1s to be an itinerary of a point which belongs to the unstable manifold of a fixed point.

pdf * Combinatorics Seminar
The number of maximal sum-free subsets of integers
Maryam Sharifzadeh (UIUC)
3:00 PM in SEO 427
Abstract: Cameron and Erdos raised the question of how many maximal sum-free sets there are in $\{1, \dots , n\}$, giving a lower bound of $2^{\lfloor n/4 \rfloor }$. In this paper we prove that there are in fact at most $2^{(1/4+o(1))n}$ maximal sum-free sets in $\{1, \dots , n\}$.
Our proof makes use of container and removal lemmas of Green as well as a result of Deshouillers, Freiman, S\'os and Temkin on the structure of sum-free sets. Joint work with: Jozsef Balogh, Hong Liu and Andrew Treglown

pdf * Graduate Number Theory Seminar
Remarks on the distribution of Frobenius for elliptic modules
Abel Castillo (UIC)
3:00 PM in SEO 712
In this talk we will state conjectures regarding the distribution of the trace of Frobenius for elliptic curves, including the the Lang-Trotter conjectures and the Koblitz conjecture, and point out how these are "higher-dimensional analogues" of familiar statements about primes in arithmetic progressions. We will then discuss heuristics that are used to make precise predictions about the constants appearing in the statements. As time permits, we will close by discussing analogues of these conjectures for Drinfeld modules in the global function field setting.

pdf * Geometry, Topology and Dynamics Seminar
TBA
Sheel Ganatra (Stanford University)
4:00 PM in TBA
Tuesday October 28, 2014
pdf * Logic Seminar
Midwest Model Theory Day
C. Ward Henson, Krzysztof Krupiński and Ramin Takloo-Bighash
1:00 PM in SEO 636
There will be no logic seminar. Instead, we will be hosting Midwest Model Theory Day http://math.wisc.edu/~andrews/MWMTD8.html.
Wednesday October 29, 2014
pdf * Algebraic Geometry Seminar
Normality of Secant Varieties
Brooke Ullery (University of Michigan)
4:00 PM in SEO 427
If X is a smooth variety embedded in projective space, we can form a new variety by looking at the closure of the union of all the lines through 2 points on X. This is called the secant variety to X. Similarly, the Hilbert scheme of 2 points on X parametrizes all length 2 zero-dimensional subschemes. I will talk about how these two constructions are related. More specifically, I will show how we can use certain tautological vector bundles on the Hilbert scheme to help us understand the geometry of the secant variety, leading to a proof that for sufficiently positive embeddings of X, the secant variety is a normal variety.

pdf * Statistics Seminar
Some important statistical considerations in biomarker discovery from high-dimensional data
V. Devanarayan (AbbVie)
4:00 PM in SEO 636
Biomarkers such as those based on genomic, proteomic and imaging modalities play a vital role in biopharmaceutical R&D. Examples include the discovery of novel genes/targets related to various diseases based on which a suitable therapeutic can be developed, diagnostics for different disease subtypes, identification of patients that are more likely to progress in disease or benefit from a particular therapeutic, etc. The discovery of such biomarkers are typically based on the evaluation of high-dimensional datasets that require a strong combination of bioinformatic and statistical considerations. This seminar will provide a practical overview and intuitive explanation of some important concepts and considerations around the analyses of such high-dimensional data.
Friday October 31, 2014
pdf * Algebraic Topology Seminar
Homotopy groups of spheres and the strong Kervaire invariant problem in dimension 62.
Zhouli Xu (University of Chicago)
1:00 PM in SEO 1227
Computing and understanding the homotopy groups of spheres is one of the most important and interesting questions in algebraic topology. In this talk, I will first review the known stemwise computations at the prime 2. In particular, I will briefly discuss recent work of Isaksen using motivic methods. Then I will discuss joint work with Beaudry that relates stemwise and chromatic computations. Finally, I will talk about the current status of the strong Kervaire invariant problem in dimension 62, including a sketch of the proof that twice theta five is zero.

pdf * Departmental Colloquium
The Role of Entanglement in DNA Structure and Function
De Witt Sumners (Florida State University)
3:00 PM in SEO 636
This talk will survey some of the results on properties of random knots in 3-space and in confined volumes, with applications to enzyme action on duplex DNA and the structure and dynamics of duplex DNA confined to viral capsids. This talk is intended for a general mathematical audience.
Monday November 3, 2014
pdf * Geometry, Topology and Dynamics Seminar
The Baum-Connes conjecture for relatively hyperbolic groups
Ben Klaff (UIC)
3:00 PM in SEO 636
This is joint work with Matt Durham (U. of Michigan) and Daniel Groves (UIC).

pdf * Graduate Number Theory Seminar
TBA
Charles Alley (UIC)
3:00 PM in SEO 712

pdf * Applied Mathematics Seminar
4-stochastic measures minimizations and polyconvexity
Romeo Awi (Georga Tech)
4:00 PM in SEO 636
Wednesday November 5, 2014
pdf * Algebraic Geometry Seminar
Non-Abelian Lefschetz Hyperplane Theorems
Daniel Litt (Stanford University)
4:00 PM in SEO 427
Work of Lefschetz (in 1924) and Grothendieck (in SGA II) provides many relationships between properties of a smooth projective variety X and an ample divisor D in X. For example, the singular or l-adic cohomology of X agrees with that of D in low degree; X and D have the same Picard group if X has dimension at least 4; and X and D have the same fundamental group if X has dimension at least 3. I’ll describe a general result which encompasses some of these Lefschetz hyperplane theorems and many new ones, comparing maps out of X to maps out of D. The case when the target of these maps is a moduli scheme or stack is of particular interest; for example, one may take the target to be Mg, and thus compare families of curves over X to families over D.

pdf * Statistics Seminar
TBA
Sonja Petrovic (IIT)
4:00 PM in SEO 636
Friday November 7, 2014
pdf * Departmental Colloquium
TBA
Wilfrid Gangbo (Georgia Tech)
3:00 PM in SEO 636
Monday November 10, 2014
pdf * Geometry, Topology and Dynamics Seminar
TBA
Ronen Mukamel (University of Chicago)
3:00 PM in SEO 636

pdf * Graduate Applied Math Seminar
TBA
Natasa Pavlovic (UT Austin)
3:00 PM in SEO 1227

pdf * Applied Mathematics Seminar
TBA
Natasa Pavlovic (University of Texas at Austin)
4:00 PM in SEO 636
Wednesday November 12, 2014
pdf * Statistics Seminar
Optimal Plate Designs in High Throughput Screening Experiments
Xianggui Qu (Oakland University)
4:00 PM in SEO 636
High-throughput screening (HTS) is a large-scale process that screens hundreds of thousands to millions of compounds in order to identify potentially leading candidates rapidly and accurately. There are many statistically challenging issues in HTS. In this talk, I will focus the spatial effect in primary HTS. I will discuss the consequences of spatial effects in selecting leading compounds and why the current experimental design fails to eliminate these spatial effects. A new class of designs will be proposed for elimination of spatial effects. The new designs have the advantages such as all compounds are comparable within each microplate in spite of the existence of spatial effects; the maximum number of compounds in each microplate is attained, etc. Optimal designs are recommended for HTS experiments with multiple controls.

pdf * Algebraic Geometry Seminar
TBA
Howard Nuer (Rutgers University)
4:00 PM in SEO 427
Friday November 14, 2014
pdf * Departmental Colloquium
TBA
Jun Liu (Harvard)
3:00 PM in SEO 636
Monday November 17, 2014
pdf * Geometry, Topology and Dynamics Seminar
TBA
Ailsa Keating (Columbia University)
3:00 PM in SEO 636

pdf * Applied Mathematics Seminar
TBA
Zhihui Xie (UIC)
4:00 PM in SEO 636
Tuesday November 18, 2014
pdf * Logic Seminar
TBA
John Baldwin (UIC)
4:00 PM in SEO 427
Wednesday November 19, 2014
pdf * Statistics Seminar
TBA / TBA
Raymond Mess / Nick Syring (UIC)
4:00 PM in SEO 636

pdf * Algebraic Geometry Seminar
TBA
Eric Riedl (Harvard University)
4:00 PM in SEO 427
Monday November 24, 2014
pdf * Geometry, Topology and Dynamics Seminar
Entropy and smooth variations of the Kuperberg flow
Ana Rechtman (Université de Strasbourg, France)
3:00 PM in SEO 636
TBA

pdf * Applied Mathematics Seminar
TBA
Wujun Zhang (University of Maryland)
4:00 PM in SEO 636
Wednesday November 26, 2014
pdf * Algebraic Geometry Seminar
N/A
NO SEMINAR (Thanksgiving)
4:00 PM in SEO 427
Tuesday December 2, 2014
pdf * Logic Seminar
Gordon's Conjectures: Pontryagin-van Kampen Duality and Fourier Transform in Hyperfinite Ambience
Pavol Zlatos (Comenius University)
4:00 PM in SEO 427
Using the ideas of E. I. Gordon [Go1], [Go2] we present an approach, based on nonstan- dard analysis (NSA), to simultaneous approximation of locally compact abelian (LCA) groups and their duals by nite abelian groups, as well as to approximation of the Fourier transforms on various functional spaces over them by the discrete Fourier transform. In 2012 we proved the three Gordon's Conjectures (GC1{3) which were open since 1991 and are crucial both in the formulations and proofs of the LCA groups and Fourier transform approximation theorems. The proofs of GC1 and GC2 combine some methods of NSA with Fourier-analytic methods of additive combinatorics, stemming from the paper [GR] by Green and Ruzsa and the book [TV] by Tao and Vu. The proof of GC3 relies on a fairly general nonstandard version of the Smoothness-and-Decay Principle. Depending on time, we will survey most of the above mentioned constructions and results.
Wednesday December 3, 2014
pdf * Algebraic Geometry Seminar
TBA
Ana-Maria Castravet (Ohio State University)
4:00 PM in SEO 427

pdf * Statistics Seminar
TBA
Dr. Devon Lin (Queens University)
4:00 PM in SEO 636

pdf * Algebraic Geometry Seminar
TBA
Emanuele Macri (Ohio State University)
5:00 PM in SEO 427
Monday February 2, 2015
pdf * Applied Mathematics Seminar
TBA
Chris Rycroft (Harvard University)
4:00 PM in SEO 636
Monday February 16, 2015
pdf * Geometry, Topology and Dynamics Seminar
TBA
Catherine Pfaff (Universität Bielefeld)
3:00 PM in SEO 636
Wednesday March 11, 2015
pdf * Statistics Seminar
TBA
Jyotirmoy Sarkar (IUPUI)
4:00 PM in SEO 636
Wednesday March 18, 2015
pdf * Statistics Seminar
TBA
Professor Suojin Wang (Texas A & M University)
4:00 PM in SEO 636
Wednesday April 1, 2015
pdf * Algebraic Geometry Seminar
TBA
Claire Voisin (CNRS and IAS)
4:00 PM in SEO 427
Wednesday April 8, 2015
pdf * Statistics Seminar
TBA
Tiefeng Jiang (University of Minnesota)
4:00 PM in SEO 636
Friday April 10, 2015
pdf * Departmental Colloquium
TBA
Joe Harris (Harvard)
3:00 PM in SEO 636
Opening lecture: Midwest Algebraic Geometry Graduate Conference
Friday May 1, 2015
pdf * Departmental Colloquium
Atkin Memorial Lecture
Alireza Salehi-Golsefidi (University of California, San Diego )
3:00 PM in TBA
HTML 5 CSS FAE
UIC LAS MSCS seminars seminar calendar