Projective Rigidity of Circle Packings

Series
Geometry Topology Seminar
Time
Monday, February 5, 2024 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mike Wolf – Georgia Tech – mwolf40@gatech.edu
Organizer
Michael Wolf

We prove that the space of circle packings consistent with a given triangulation on a surface of genus at least two is projectively rigid, so that a packing on a complex projective surface is not deformable within that complex projective structure.  More broadly, we show that the space of circle packings is a (smooth)  submanifold within the space of complex projective structures on that surface.