Event calendar file
School of Mathematics Colloquium
Effective Ratner equidistribution result for $\mathrm{SL}(2, \mathbb R)\ltimes \mathbb R^{2k} $ and applications to quadratic forms.
by Prof. Pankaj Vishe (University of York, UK)
Thursday, August 14, 2014
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
| Description |
Let $G=\mathrm{SL}(2,\mathbb R)\ltimes \mathbb R^{2k}$ and let $\Gamma$ be a congruence subgroup of $\mathrm{SL}(2,\mathbb Z)\ltimes\mathbb Z^{2k}$. We give an effective equidistribution result for a family of 1-dimensional unipotent orbits in $\Gamma\backslash G$. The proof involves Specral methods and bounds for exponential sums. We apply this result to obtain an effective Oppenheim type result for a class of indefinate irrational quadratic forms. This is based on a joint work with Andreas Strombergsson. |
