Seminars Sorted by Series

Short Talks by Postdoctoral Members

Oct
01
2008

Short Talks by Postdoctoral Members

Computing Polynomials
4:00pm|S-101

The topic of this short talk is based on the following natural question: Given a polynomial f (for example, f is the Determinant of a matrix), what is the best way to compute this polynomial? We will start by the very basic definitions: what does it...

Sep
22
2009

Short Talks by Postdoctoral Members

Contact Structures, Open Books, and Support Genus
John Baldwin
2:00pm|S-101

A contact structure is a geometric structure on a 3-manifold (in general, on a 2n+1 manifold) which arises naturally when studying symplectic 4-manifolds. In this talk, I'll describe an important correspondence between contact structures and open...

Sep
22
2009

Short Talks by Postdoctoral Members

Big Gaps in Zeros of L-Functions
2:00pm|S-101

Abstract: The first zeros Riemann Zeta function occur at approximately 1/2 +- 14.13i. In 1999 Steven D. Miller showed that among all L-functions of a certain type, the Riemann Zeta function has the largest such gap around zero. I'll discuss how to...

Sep
22
2009

Short Talks by Postdoctoral Members

Some Extremal Functions in Fourier Analysis and Applications to Number Theory
4:00pm|S-101

I will give an overview on the recent developments on the Beurling-Selberg problem of majorization by entire functions of exponential type, in joint works with J.D. Vaaler (Texas) and F. Littmann (North Dakota State). These provide new applications...

Sep
24
2009

Short Talks by Postdoctoral Members

Coulomb Gas in Two dimensions
2:00pm|S-101

I will review the definition and the interest in the statistical mechanical model called "Coulomb Gas". Past results and possible new ones will be briefly discussed.

Sep
24
2009

Short Talks by Postdoctoral Members

Matrix Rigidity
2:00pm|S-101

A rigid matrix is a matrix that cannot be represented as the sum of a low rank matrix and a sparse matrix. Constructing explicit rigid matrices (for certain parameters of rank and sparsity) is a long standing open problem with applications to...

Sep
24
2009

Short Talks by Postdoctoral Members

Geometry of Obstructed Families of Plane Algebraic Curves and Projective Hypersurfaces
Anna Gourevich
4:00pm|S-101

I will talk about families of plane curves, and more generally projective hypersurfaces, of given degree having one isolated singularity of prescribed analytic type. We will see an example of such family and discuss its geometry.

Sep
25
2009

Short Talks by Postdoctoral Members

Relative Representation Theory of Reductive Groups Over Close Local fields with Applications to Gelfand Pairs
Dmitri Gourevich
2:00pm|S-101

First I will present a geometric method, due to Kazhdan, of approximating representation theory of reductive groups over local fields of positive characteristic (like F_p(t)) with representation theory of reductive groups over local fields of zero...

Sep
25
2009

Short Talks by Postdoctoral Members

Algebraic Cycles and Lawson Homology
2:00pm|S-101

A natural topology can be given to the space of algebraic cycles over an algebraic variety. By taking homotopy groups of this space, one yields homology-like invariants of the variety, called Lawson homology groups. I will talk about their...

Sep
29
2009

Short Talks by Postdoctoral Members

The Distribution of Values of the Riemann Zeta Function and Dirichlet L-functions on the 1-Line
2:00pm|S-101

In this talk, we present some new results on the joint distribution function of the argument and the norm of the Riemann zeta function on the 1-line (the edge of the critical strip). Our strategy is to introduce a probabilistic random model for...

Sep
29
2009

Short Talks by Postdoctoral Members

Graph Paches and Their Applications
2:00pm|S-101

We present a novel way of sparsifying a piece of a graph with very few edges. Our results imply the existence of optimal ultrasparsifiers and efficient approximation algorithms with good approximation guarantee for maximizing the algebraic...