Plancherel lecture 2017
Monday October 9th, 2017, 17:30 Receptionapéro starts at 16:45 au Pavillon Vert University of Fribourg, Pérolles, PER04, auditoire (0.110) 

Hugo DuminilCopin IHES & University of Geneva 

Random paths in the plane
It is known for a long time that the random walk model provides a natural way of sampling a random path on a planar graph such as the square or hexagonal lattices. But how can one sample a random path with the additional constraint that the path does not visit the same vertex twice? We will see that this natural question, first raised by the chemist Paul Flory in 1957, is intimately related to a beautiful combinatorial problem: for a fixed lattice, what is the number of selfavoiding paths of length n starting from a prescribed vertex. In particular, we will provide a (partial) answer for the hexagonal lattice, and explain a connection with the geometry of typical selfavoiding paths.


The Plancherel lecture takes place every two years since 2005 (in odd years) at the University of Fribourg;
it is a joint colloquium with the University of Bern, who organizes the Schläfli Lectures in even years.
There will be a dinner after the lecture at Ristorante Bindella Fribourg. All are welcome. Please register before October 2nd by email at isabella.schmutz@unifr.ch. Click here for menu options. Directions to the lecture hall: from Fribourg/Freiburg train station take bus number 1 or 3 to "Pérolles Charmettes'', then refer to this map. For any additional information please email ioan.manolescu@unifr.ch Pdf poster available here. 



Design by Emanuele Delucchi 