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Seminar

RAS - Research Seminar (Part 2): Exotic real projective Dehn surgery space October 12, 2020 (10:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Jeffrey Danciger (University of Texas, Austin)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

Video

Exotic Real Projective Dehn Surgery Space

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

Abstract:

We study properly convex real projective structures on closed 3-manifolds. A hyperbolic structure is one special example, and in some cases the hyperbolic structure may be deformed non-trivially as a convex projective structure. However, such deformations seem to be exceedingly rare. By contrast, we show that many closed hyperbolic 3-manifolds admit a second convex projective structure not obtained through deformation. We find these structures through a theory of properly convex projective Dehn filling, generalizing Thurston’s picture of hyperbolic Dehn surgery space. Joint work with Sam Ballas, Gye-Seon Lee, and Ludovic Marquis.

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Exotic Real Projective Dehn Surgery Space

H.264 Video 25352_28910_8562_Exotic_Real_Projective_Dehn_Surgery_Space.mp4