DATE &
Location |
SPEAKER
|
TOPIC
|
Nov
4, Tue
4:00-5:00
Fine 110 |
Yves
Benoist
Université
Paris-Sud |
Invariant
subsets of homogeneous spaces.
I will explain a joint work with J.F. Quint.
Let G be a simple Lie group, X be a G-homogeneous space
with finite G-invariant measure, and
H be a Zariski dense subgroup of G.
Then every H-invariant subset of X
is either finite or dense.
Moreover, the Haar probability on X
is the only atom-free H-invariant probability on X.
The proof uses random walks on X. |
Nov
24, Mon
4:00-5:00
Fine 601 |
Nimish
Shah
Yale
University |
Limits
of translates of curves on homogeneous spaces and Dirichlet's theorem
on Diophantine approximation
By proving an equidistribution theorem for certain sequences of
expanding
translates of smooth measures on curves on homogeneous spaces of
SL(n,R),
we show that the Dirichlet's theorem on simultaneous diophantine
approximation cannot be improved for related quantities in the sense of
Davenport and Schmidt. |
Dec 2, Tue
4:30-5:30
Fine 801 |
Hee
Oh
Brown
University |
On
counting Apollonian circles of bounded curvature
I will talk about an asymptotic formula for the number
of circles of curvature at most T in a given bounded Apollonian circle
packing. |
| Dec
8 |
|
|