Event calendar file
School of Mathematics Colloquium
Convex Projective Manifold of finite volume
by Dr. Ludovic Marquis (l'Ecole Normale Superieure de Lyon, France)
Thursday, February 11, 2010
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
| Description |
In my talk, I will explain how covex projective geometry is a generalisation of hyperbolic geometry. A convex projective manifold M is the quotient of a properly open convex $\omega$ set by a discrete group of projective transformation Gamma. The basic example of such manifold is the quotient of the hyperbolic space by a discrete group of isometry. This kind of manifold carry a natural measure. A lot of people have studied the case where the manifold M is compact. I will explain what is known when the dimension of M is 2 and how to construct such a manifold when $\omega$ is not the hyperbolic space. This will lead us, to the construction of discrete subgroup of $SL_n+1(\mathbb (R)$. |
| Organised by | Aravindakshan T |
