Virtual Seminar on

Geometry and Topology

https://visgat.cayley.kr

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Zoom Meeting ID 739-035-2844

Password Zero minus the Euler characteristic of a closed oriented surface of genus 4000

2020

July 8 (W) 9 - 10:30 am (note the time), Zoom 739-035-2844

Jing Tao (University of Oklahoma)

Genericity of pseudo-Anosov mapping classes

Let S be a hyperbolic surface of finite type. Thurston’s classification asserts that elements of the mapping class group of S fall into three categories: finite order, reducible, and pseudo-Anosov. There are these three types, but it seems that from any reasonable point of view *most* elements are pseudo-Anosov. In this talk, I will show how to use geodesic currents to establish that pseudo-Anosov mapping classes are generic with respect to several notions of genericity. What these notions have in common is that they arise from functions on the mapping class group that measure the complexity of individual elements seen as mapping classes. This is based on joint work with Viveka Erlandsson and Juan Souto.


July 15 (W) 10 - 11:30 am (note the time), Zoom 739-035-2844

Thomas Koberda (University of Virginia)

Expanders and right-angled Artin groups

TBA

July 22 (W) 9 - 10:30 am (note the time), Zoom 739-035-2844

Alan Reid (Rice University)

TBA

TBA

July 29 (W) 4 - 5:30 pm, Zoom 739-035-2844

Dan Margalit (Georgia Institute of Technology)

TBA

TBA

August 5 (W) 4 - 5:30 pm, Zoom 739-035-2844

Mahan Mj (Tata Institute of Fundamental Research)

TBA

TBA

August 12 (W) 4 - 5:30 pm, Zoom 739-035-2844

TBA (TBA University)

TBA

TBA

August 17 - 21 (mini-course: TBA dates) TBA pm, Zoom 739-035-2844

Bram Petri (Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université)

TBA

TBA

August 26 (W) 10 - 11:30 am, Zoom 739-035-2844

Andrew Putman (University of Notre Dame)

TBA

TBA

Organizers

Harry Hyungryul Baik (KAIST)

Sam Sang-hyun Kim (KIAS)

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