Elon Lindenstrauss

Ahlfors Lecture series

October 15-16, 2012, Organizers: H-T Yau and S-T Yau

Harvard University, Science Center, Hall A

Speaker and Program

Elon Lindenstrauss (Hebrew University)
October 15, 2012:

Lecture I
4:15-5:15 PM
in SC Hall A
Homogeneous dynamics and diagonalizable actions
Algebraic actions on quotient spaces of algebraic (or Lie) groups G/Gamma give highly interesting dynamical systems that are in many cases intimately linked with number theory. Already in the 1950's Cassels and Swinnerton Dyer observed implicitly (in a dual language) that higher rank diagonal groups have interesting rigidity properties; this was explicitly brought to the fore by Furstenberg in 1967. These delicate rigidity properties are still far from being understood; I will survey some of the progress made in this direction, particularly regarding the classification of invariant measures.
October 16, 2012:

Lecture II
4:15-5:15 PM
in SC Hall A
Effective theorems in homogeneous dynamics
Ergodic theory gives an extremely powerful set of tools to prove equidistribution when there is a group action in sight (as well as when the symmetry related to the group action is hidden and requires an imaginative eye to become visible!) However, most of the traditional ergodic theoretic arguments do not give a rate of convergence to equidistribution or even for density. This is slowly changing, and I will survey some of the progress as well as connections to spectral gap and arithmetic combinatorics.

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