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Student Dynamics/Geometry Topology Seminar

A polytopal decomposition of strata of translation surfaces
Monday, April 19, 2021
6:00-7:00 PM
Virtual Off Campus Location
A closed surface can be endowed with a certain locally Euclidean metric structure called a translation surface. Moduli spaces that parametrize such structures are called strata, and there is still much to discover of their global topology. These strata admit a decomposition into finitely many polytopal regions parametrized by certain triangulations of translation surfaces (L^infinity Delaunay triangulations). These regions are adjacent to each other in pathological ways, but it was conjectured by Frankel that these pathologies can be nicely classified. We affirm this conjecture of Frankel, and use the resulting classification to endow strata with an explicit finite cellular structure. This talk will be an expanded version of my half-hour talk given at the recent GSTGC.


Zoom link: https://umich.zoom.us/j/99788564257
passcode: -4040 Speaker(s): Bradley Zykoski (University of Michigan)
Building: Off Campus Location
Location: Off Campus Location
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics