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Geometry and Topology Seminar

Friday, February 26, 2021
3:00pm to 4:00pm
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Online Event
Harmonic forms and norms on cohomology of non-compact hyperbolic 3-manifolds
Xiaolong Hans Han, Department of Mathematics, University of Illinois at Urbana-Champaign,

We will talk about generalizations of an inequality of Brock-Dunfield to the non-compact case, with tools from Hodge theory for non-compact hyperbolic manifolds and recent developments in the theory of minimal surfaces. We also prove that their inequality is not sharp, using holomorphic quadratic differentials and recent ideas of Wolf and Wu on minimal geometric foliations. If time permits, we will also describe a partial generalization to the infinite volume case.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu or visit https://sites.google.com/site/caltechgtseminar/home.