Postdoctoral Short Talks 2009-10

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

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...

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 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...