Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

James Farre
Affiliation:

University of Utah
Date:

Mon, 15/04/2019 - 16:30 - 17:30 The bounded cohomology of a group encodes a wealth of geometric and algebraic data. We will define bounded cohomology of groups and construct explicit examples in dimension three; they come from

computing the volumes of locally geodesic tetrahedra in hyperbolic manifolds. It turns out that these volume classes distinguish the bi-Lipschitz classes of hyperbolic structures of infinite volume on a fixed 3-manifold, a fact that we will use to interpret addition in bounded cohomology as a kind of `geometric connected sumâ€™ on hyperbolic manifolds.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/3050