Seminar

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs).  Please only join the seminar if you are an early career mathematician.

To participate, please email Tommaso Cremaschi or James Farre.

Abstract:

We will talk about generalization of an inequality of Brock-Dunfield to the non-compact case, with tools from Hodge theory for the non-compact hyperbolic manifolds and recent development of minimal surfaces. We will also prove that their inequality is not sharp, using the property of holomorphic quadratic differential or recent ideas of geometric foliation of Wolf and Wu. Time dependent, we will also describe its partial generalization to the convex cocompact case and point out a general framework for similar problems.

Norms On Cohomology Of Hyperbolic 3-Manifolds And Harmonic Forms