Seminars Sorted by Series

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...

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...

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...

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...

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.

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...

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.

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...

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...

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...

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...

In the lecture I will explain how various fundamental structures from group representation theory appear naturally in the context of discrete harmonic analysis and can be applied to solve concrete problems from digital signal processing. We will...

Let s(n) denote the sum of the proper divisors of the natural number n. We call n *perfect* if n = s(n) and *amicable* if n = s(s(n) . We discuss some old problems and recent results related to perfect numbers, amicable numbers, and their...

In this short talk I will formulate a functorial desingularization theorem for qe schemes of characteristic zero and explain why this result implies desingularization in other categories including formal schemes and analytic spaces. If time permits...

I will discuss the relation between: (a) the Weak Regularity Lemma of Frieze and Kannan, a result in graph theory, (b) the "Dense Model Theorem" of Green, Tao and Ziegler, a result in additive combinatorics, that helps transfer results about dense...

In this talk we discuss certain interrelations between symplectic and convex geometry. No previous knowledge is assumed.

I'll describe joint work (in progress) with Ghaith Hiary on implementing and running Hiary's O(t^1/3) algorithm for computing the zeta function and give some highlights of recent computations.

I will introduce some example of models of Statistical Mechanics that are called 'weak-universal' and I will discuss the role of the extended scaling relations for the critical indexes. Finally I will mention some results and some works in progress...