Back to Algebraic Geometry Seminar: Spring 2015
Algebraic Geometry Seminar
Date: Monday, Apr 20, 2015
Time: 3:30PM - 4:30PM
Location: LCB 215
(Monday) Time/Location: 3pm/LCB 222
Marc Burger
ETH, Zurich
Title |
On volumes of representations |
Abstract |
Abstract: In many instances one can define the notion of volume of a representation of the fundamental group of a closed manifold M into a simple (non-compact) Lie group G. This is so for instance if M is a surface and the symmetric space associated to G is hermitian, that is carries an invariant 2-form, or if M is a 3-manifold and G is a complex group, equivalently the associated symmetric space carries an invariant 3-form. When M is not compact the definition of volume of a representation presents interesting difficulties; in this talk we will show how bounded cohomology can be used to define an invariant generalizing the volume of a representation and we will see how this invariant is connected with the deformation theory of such representations. This is joint work with Michelle Bucher and Alessandra Iozzi. |
Algebraic Geometry