Previous Conferences & Workshops

Nov
14
2007

Special Seminar

Rigid Differential Equations
Dmitry Arinkin
3:00pm|S-101

We study systems of linear ordinary differential equations dy/dz=A(z)y, where A is a matrix-valued rational function of z. By definition, such equation is rigid if it is uniquely determined by the type of its singularities. Our goal is to provide a...

Nov
14
2007

Arithmetic Combinatorics

Decompositions into Quadratic Phase Functions
2:00pm|S-101

The aim is to present some of the more technical aspects of my joint project with Tim Gowers regarding the true complexity of a system of linear quations. Using so-called "quadratic Fourier analysis", we determined a necessary and sufficient...

Nov
13
2007

Arithmetic Combinatorics

Product Growth and Mixing in Finite Groups: Variations on a Theme of Gowers
László Babai
2:00pm|S-101

For a probability distribution X over a finite set, let D(X) denote the L_2-distance of X from the uniform distribution. Let X, Y be probability distributions over the finite group G and let Z be their G-convolution. Inspired by recent work of...

Nov
13
2007

Computer Science/Discrete Mathematics Seminar II

Applications of the Removal Lemma
10:30am|S-101

An extension of Szemeredi's Regularity Lemma for hypergraphs, was proved in 2005 by Gowers and independently by Rodl, Schacht, Skokan, and Nagle. More recently, Tao gave another proof for the lemma. A special case, the Removal Lemma is an important...