Virtual Seminar on 

Geometry and Topology

https://sites.google.com/view/visgat

Organizers

Hyungryul Baik (KAIST),
Sang-hyun Kim, Sanghoon Kwak, Javier de la Nuez-González, Carl-Fredrik Nyberg-Brodda (KIAS)

How to join

Zoom https://kimsh.kr/vz

Meeting ID: 822 3235 0014

Passcode: 7998

Time Generally, Tuesdays or Thursdays 11 am KST

Length is typically for one-hour unless noted otherwise, although it's often extended by questions etc.

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2025

January 16th (Thu) 2025, 11 am 

KIAS 1424 & Zoom https://kimsh.kr/vz

Inhyeok Choi (KIAS / Cornell)

Free discrete subgroups of Homeo(S) and the fine curve graph.

Recently, Bowden-Hensel-Webb proposed the notion of the fine curve graph for the study of Homeo(S) as an analogue of the curve graph for the mapping class group Mod(S). In the case of Mod(S), the orbit map from a subgroup of Mod(S) to the curve graph may be seriously distorted. In this talk, I will describe an analogous example for Homeo(S) acting on the fine curve graph, namely, a free discrete subgroup of Homeo(S) without global fixed points, whose one free factor is a loxodromic and the other one free factor fixes the basepoint on the fine curve graph. If time allows, I will explain why the (metric) WPD of point-pushing pseudo-Anosov maps help understand this subgroup. This project is in progress. 

Organizers

Hyungryul Baik (KAIST)

Sang-hyun Kim, Sanghoon Kwak, Javier de la Nuez-González, Carl-Fredrik Nyberg-Brodda (KIAS)


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