Tid: 27 februari 2008 kl 15.15-16.15

Plats : Sal 14, hus 5, Kräftriket, Institutionen för matematik, Stockholms Universitet. Efter föredraget serveras förfriskningar.

Föredragshållare: Jeffrey Steif, Chalmers

Titel: Recent Developments in Probability Theory

Sammanfattning: In 2006, Wendelin Werner was awarded the fields medal in mathematics. A large part of the work for which he was awarded the medal was work Werner did jointly with Greg Lawler and Oded Schramm. I will give an overview of a part of this work. Of course, I will give background and attempt to put things in perspective in terms of how this work is related to more familiar notions in probability theory. More specifically, I will explain (1) percolation, (2) the concept of a scaling limit (analogous to how random walk converges to Brownian motion) for discrete statistical mechanical systems, (3) so-called critical exponents, (4) so-called intersection exponents for 2 dimensional Brownian motion and what were the contributions of Lawler, Schramm and Werner to these topics. A common thread/tool for all of this is the so-called stochastic Lowner evolution invented by Oded Schramm which I will only very briefly touch on.

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