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Seminar

DMS Research Seminar: Affine deformations of one-holed torus March 16, 2015 (10:00 AM PDT - 12:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Virginie Charette (University of Sherbrooke), Todd Drumm
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We will tell the story of affine deformations of surfaces with fundamental group of F_2 from the Lorentzian geometry point of view. In particular, the space of proper affine deformations of these surfaces is tiled by the affine deformations corresponding to a basis (or superbasis) of the underlying linear group. In the case of the three-holed sphere and the two-holed cross surface, there is one tile. The tiling of the space of proper affine deformations of the one-holed torus is much richer and mimics the Farey tessellation of the hyperbolic plane.

This story will have a Prologue.  We will give a nuts and bolts introduction to crooked planes, how to put them together into « ideal triangulations », and how to pull them apart in disjoint configurations.

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