Emerging applications of measure rigidity
June 13 to June 18, 2004
American Institute of Mathematics,
Palo Alto, California
and Ralf Spatzier
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
Material from the workshop
A list of participants.
A survey article by Elon Lindenstrauss.
Diophantine exponents of measures: a dynamical approach
by Dmirty Kleinbock.
The workshop schedule.
A report on the workshop activities.
A list of open problems.