#
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.

**Papers:**

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