Wendelin Werner

Ahlfors Lecture series

November 18-19, 2013, Organizers: H-T Yau and S-T Yau

Harvard University, Science Center

Speaker and Program

Wendelin Werner (ETH Zürich)
November 18, 2013:

Lecture I
4:15-5:15 PM
in SC Hall A
Random Planar Paths and Random Partitions in the plane
The first goal of this lecture is to give a heuristic introduction to Oded Schramm's SLE processes, which are the random planar curves that arise naturally in many different contexts. In the second part, we will look at how to fragment naturally at random a planar domain into smaller pieces, which will lead to the description of the co-called Conformal Loop Ensembles. In both these questions, complex analysis (conformal maps) turns out to play a key-role. The second half of this lecture will be based on work by and with Scott Sheffield.
November 19, 2013:

Lecture II
4:15-5:15 PM
in SC Hall D
Random Mountains and Random Surfaces
We will give a brief introduction to Gaussian Free Field in two-dimensions, which is the natural analog of Brownian motion when one replaces one-dimensional time by a two-dimensional domain. We will then describe some of its surprising features, and show how to relate it to Schramm's SLE and to some Conformal Loop Ensembles. Most of the talk will be based on work by and with Scott Sheffield, Jason Miller, Sam Watson and Hao Wu.

Lars Ahlfors
This is a lecture series in honor of Lars Ahlfors (1907-1996) who was William Caspar Graustein Professor of Mathematics at Harvard University from 1946 to 1977. Ahlfors won the fields medal in 1936 and the Wolf prize in 1981.


Ahlfors Lecture Series, 2009 Ahlfors Lecture Series, 2010 Ahlfors Lecture Series, 2011 Ahlfors Lecture Series, 2012 Ahlfors Lecture Series, 2013