From Hyperbolic to Algebraic Geometry through Character Varieties

Document Type

Presentation Abstract

Presentation Date

5-1-2017

Abstract

In this expository lecture, we will review some of the basics of hyperbolic geometry from the perspective of representation theory and use this point of view to motivate the study of a 3-manifold's character variety. Along the way we will touch on some classic results in low-dimensional topology, explore concrete examples, and discuss various ways to continue applying character varieties to 3-manifold topology.

This lecture will review the background material for the speaker's dissertation defense.

Additional Details

Link to the presenter's dissertation.

Monday, May 1, 2017 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

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