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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: The crooked plane conjecture

Presented by Virginie Charette, University of Sherbrooke

30 January 2012 16:00 in CM221

This talk will be about complete flat Lorentzian manifolds of dimension
three. More precisely, we will discuss such manifolds admitting a free
("Schottky") fundamental group. Their study started with the surprising
discovery, by Margulis in the 1980s, of examples of such manifolds. Drumm
showed that in fact, every Schottky subgroup of hyperbolic isometries
admits "affine deformations" that act freely and properly on R^3. He
showed this by constructing fundamental domains bounded by "crooked
planes". The Crooked Plane Conjecture states that every proper affine
deformation admits such a fundamental domain. In the talk, we will
introduce crooked fundamental domains, and some ideas surrounding the
proof of the conjecture for groups of rank two. (Joint work with Drumm
and Goldman.)

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