Virtual Seminar on
Geometry and Topology
How to join
Zoom Meeting ID 739-035-2844
Password Zero minus the Euler characteristic of a closed oriented surface of genus 4000
Time Wed 4 pm or Thursday 9 am (or so) in KST (Korea Standard Time)
Mar 3 (Th) 10 -11 am Korea
Mar 4 (F) 9:30 - 10:30 am Korea
Lei Chen (University of Maryland, College Park)
Talk 1: Nielsen realization problem.
For the natural projection Diff(S_g) ->MCG(S_g), when does this map have a section? MCG(S_g) := \pi_0(Diff(S_g)).
Talk 2: Homomorphism between MCG(S_g) and MCG(S_h), and between different braid groups.
Even more, how can MCG(S_g) acts on spheres?
March 10 (Th) 9 -10am Korea
Tao Li (Boston College)
Taut foliations of 3-manifolds with Heegaard genus two
Let M be a closed, orientable, and irreducible 3-manifold with Heegaard genus two. We prove that if the fundamental group of M is left-orderable then M admits a co-orientable taut foliation.