Virtual Seminar on

Geometry and Topology

https://visgat.cayley.kr

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)

2022

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.


Organizers

Harry Hyungryul Baik (KAIST)

Sam Sang-hyun Kim (KIAS)

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