Emerging applications of measure rigidity

June 13 to June 18, 2004

at the

American Institute of Mathematics, Palo Alto, California

organized by

Anatole Katok, Elon Lindenstrauss, and Ralf Spatzier

Original Announcement

This workshop will be devoted to exploring the interplay between flows on locally homogeneous spaces and a wide range of problems in number theory, theoretical physics, and representation theory. Specific topics include: classification of measures invariant under natural flows on locally homogeneous spaces, particularly Cartan-type actions, unipotent flows and their applications to Diophantine approximations, L-functions, Heegner points, Quantum Chaos, and many other major areas of vigorous mathematical research.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Survey article:
A survey article by Elon Lindenstrauss.

Diophantine exponents of measures: a dynamical approach by Dmirty Kleinbock.