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.

Mailing list Please contact one of the organizers to subscribe.

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2024

October 29th 2024, 4 pm - 5 pm (Online)

Zoom https://kimsh.kr/vz

Richard Wade  (Oxford University)
Title:  Mapping class groups of handlebodies and Bieri-Eckmann duality

Abstract: I will give a short overview of mapping class groups of handlebodies with a particular focus on their relationship to mapping class groups of surfaces and outer automorphism groups of free groups. I will then discuss Bieri-Eckmann duality for discrete groups, Harer's proof that the mapping class group is a virtual duality group, and give a sketch of a proof due to Dan Petersen and myself that handlebody mapping class groups are virtual duality groups.

KIAS--Springer Lectures
November 18th 2024,
10:00 am ~ 10:50 am | 11:00 am ~ 11:50 am (Two lectures)

In person KIAS 1423 & Zoom https://kimsh.kr/vz

Marco Linton (ICMAT)
Title:  An overview of recent progress in the theory of one-relator groups

Abstract: One-relator groups form a fascinating class of groups which, despite many fundamental questions about them remaining virtually untouched, admit enough structure to be afforded a theory. In fact, the theory of one-relator groups has had a very long and fruitful history, originating in 1930 with Magnus' proof of the famed Freiheitssatz. For the majority of the last century, the tools used to study one-relator groups have mostly been combinatorial. In the last decade, exciting new ideas coming from geometry, topology and homological algebra have had a huge impact on the theory, often resulting in surprising results and resolutions of old problems that previously seemed intractable. In this series of talks I will give an overview of this recent progress, focusing on work of Andrei Jaikin-Zapirain, Lars Louder, Henry Wilton, Dani Wise and myself. I will also discuss some open problems and further directions for future research.