# RTG Seminar on Geometry, Dynamics and Topology Seminar

Measured laminations in flat and hyperbolic geometry

The set of simple closed curves is of integral importance in the study of Riemann surfaces; passing to its completion, the space of measured laminations, often reveals new underlying structure. Measured laminations play many roles in TeichmÃ¼ller theory, from geometric (compactifying TeichmÃ¼ller space) to analytic (parametrizing quadratic differentials) to dynamic (describing TeichmÃ¼ller geodesic flow). Beginning from first definitions, I will survey some of these applications, leading towards a discussion of two different analogues of unipotent flow adapted to a given lamination. This talk is meant as a prelude to my talk tomorrow.

Speaker(s): Aaron Calderon (Yale)

Speaker(s): Aaron Calderon (Yale)

Building: | East Hall |
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Event Type: | Workshop / Seminar |

Tags: | Mathematics |

Source: | Happening @ Michigan from Department of Mathematics |