Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
Speaker |
: |
Dr. Jayadev Athreya |
Affiliation | : |
Yale University |
Subject Area |
: |
Mathematics
|
Venue |
: |
Lecture Hall - III, Dept of Mathematics
|
Time |
: |
11.00 am
|
Date |
: |
July 16,2008 (Wednesday) |
Title |
: |
Lattice Point Asymptotics and Volume Growth on Teichmuller space |
Abstract | : |
We apply some of the ideas
of the Ph.D. Thesis of G. A. Margulis to Teichmuller space. Let x be a point
in Teichmuller space, and let B_R(x) be the ball of radius R centered at x
(with distances measured in the Teichmuller metric). We obtain asymptotic
formulas as R tends to infinity for the volume of B_R(x), and also for for
the cardinality of the intersection of B_R(x) with an orbit of the mapping
class group. |