Simple closed curves on surfaces



2021 05 05

07:30 (GMT+0)


Huang Yi

Moscow-Beijing Topology Seminar

The behaviour of simple closed curves on surfaces can reveal a great deal of geometric information about the underlying surface. We look at three theories within this theme, all pertaining to hyperbolic surfaces:
1. Birman and Series's geodesic sparsity theorem,
2. McShane and Rivin's simple length spectrum growth rate asymptotics (as well as later improvements by Mirzakhani), and
3. McShane identities.
I plan to give a feel for why these results hold, as well as my input in extending these results to more general types of surfaces.

Meeting ID: 831 5020 0580
Password: 141592
Zoom link:

Time line

Chicago -8h

Moscow +0h

Beijing +5h

Seoul +6h

Tokyo +6h