Geometric Structures seminar - Francesco Lin - Thu Jun 25 14:00 - SISSA Room 133

[gbenedet]

Dear All,

You are welcome to the next seminar from the series "Geometric Structures".

Date and venue: Thu Jun 25, 14:00, SISSA Main Building - Room 133

Speaker: Francesco Lin (Columbia University)

Title and abstract are below.

More information can be found here: 
https://researchseminars.org/seminar/Geometric_Structures_SISSA

We look forward to seeing you at the seminar.

Best,

Gabriele (on behalf of the organizers)


Title: Coexact 1-form spectral gaps and three-dimensional topology

Abstract: The spectral gap of the Hodge Laplacian on coexact 1-forms is 
a fundamental quantity associated to a Riemannian manifold which has 
attracted quite a lot of attention in recent years. I will begin by 
discussing the role it plays in topological problems about 
three-manifolds (such as the existence on taut foliations on rational 
homology spheres) via its relation with Floer theoretic invariants. 
Motivated by this, I will then focus on the case of hyperbolic 
manifolds, and describe techniques to determine explicitly such spectral 
gaps in concrete examples (including certain infinite families). This is 
joint work with M. Lipnowski.