Workshop on "Teichmüller theory and surfaces in 3-manifolds"
timetable:
Fri 13 Jun, 9:30 - 10:30, Aula Dini
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Computing the image of Thurston’s skinning map
speaker: David Dumas (University of Illinois at Chicago (UIC))abstract: Thurston's skinning map is a holomorphic map between Teichmueller spaces that arises in the construction of hyperbolic structures on compact 3-manifolds. I will describe the theory and implementation of a method for numerically computing the images of skinning maps in some low-dimensional examples. The key to the method is that each point in the image of the skinning map represents an intersection between two Lagrangian subvarieties of the SL(2,C) character variety of a surface group. The skinning image is computed by tracking the movement of these intersections as one of the varieties (the Bers slice) moves in a holomorphic family. This is joint work with Richard Kent.
timetable:
Fri 13 Jun, 9:30 - 10:30, Aula Dini
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