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A workshop on recent advances in geometric group theory at UC Riverside
About: On 20-21 January 2024, UC Riverside will host an in-person workshop for early career mathematicians working in geometric group theory. An introductory talk will be given on January 20, followed by a series of lectures. This is a follow up of an activity that took place in March 2023.
Format: There will be a series of 3-4 lectures on cutting edge research in geometric group theory, a supporting introductory talk. The talks are aimed at graduate students and postdocs, and they were accompanied by discussion sections lead by graduate students.
We will simultaneously broadcast the talks on Zoom for those who cannot attend in person.
Minicourse speaker:
Kasia Jankiewicz (UC Santa Cruz)
Title: Artin groups and their geometric representations
Abstract: Artin groups are a family of groups generalizing braid groups and are closely related to Coxeter groups. They can be defined using simple looking group presentations, but in general many of their basic properties are still unknown. In this series of talks, I will start with reviewing various definitions of Artin groups and discussing some examples. I will then give an overview of various approaches to study of Artin groups, using combinatorial and geometric tools. A geometric representation of an Artin group is a representation in a mapping class group. While some Artin groups do not admit faithful geometric representations, representations that are not faithful can be still useful for understanding the structure of Artin groups. I will discuss some such representations and their applications.
Introductory talks by:
Zihao Liu
Jagerynn Verano
Schedule (TBA)
Poster by Aya Ghanameh for the March 2023 activity
Registration can be completed on the registration page.
If you are interested in giving a 30 minute research talk, please fill out the relevant fields on the registration form. Please note that due to time constraints, we may not be able to accommodate all interested applicants.
Funding: We have a limited amount of funding available for graduate participants. Only registered participants will be considered for funding.
We gratefully acknowledge NSF support via grant DMS-2234299.
All photos on this website (besides the poster) were taken by Matthew Durham.
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