Title: Geodesics on Platonic Solids
Speaker: Jayadev Athreya (University of Washington, Seattle, USA)
Date: 10 August 2018
Time: 3 pm
Venue: LH-1, Mathematics Department
The five Platonic solids are some of the oldest known objects of mathematical study.
In this talk (in joint work with David Aulicino and Pat Hooper) we discuss how
understanding the flat geometry of Platonic solids leads to very interesting 20th
and 21st century mathematics. In particular, we use the geometry of Riemann surfaces
to construct a closed geodesic on the dodecahedron that passes through exactly one
vertex, solving a long-standing open question.