Francesco Fournier-Facio (Heriot-Watt University, Edinburgh).
Igor Haladjian (Université de Tours, France).
Kim Ruane (Tufts University, USA).
F. Fournier-Facio : "On quasimorphisms"
Abstract: A quasimorphism on a group G is a function from G to the reals that satisfies the homomorphism relation up to a uniformly bounded error. I will give an introduction to these objects, discuss the important role they play in various areas of mathematics, and report on recent developments on constructions and obstructions. I will then focus on the generalisation to non-commutative targets, and report on joint work with Sami Douba, Sam Hughes and Simon Machado.
I. Haladjian: "Profinite rigidity of spherical type Artin groups"
Abstract: After recalling some facts about Artin groups and profinite completions of groups, I will discuss the profinite rigidity of irreducible spherical type Artin groups in the family of spherical type Artin groups, extending in particular a rigidity result from Luis Paris. Along the way, we will talk about the smallest non-abelian quotients of spherical type Artin groups and mention groups that are good in the sense of Serre. Joint work with Federica Gavazzi and Luis Paris.
K. Ruane: TBA
Venue
The meeting will take place in room F.21 of the building in 7 George Square, approximately 5 minutes walking from the Bayes centre and the ICMS. There will be signs to guide you to the room.
Provisional Schedule
14:00-15:00 1st talk
15:10-16:10 2nd talk
16:10-16:40 Coffee break
16:40-17:40 3rd talk
18:00 - Social dinner in restaurant nearby
Seminar information
The North British Geometric Group Theory Seminar is a collaborative seminar that has been running since 2003. The seminar involves geometric group theorists from Aberdeen, Heriot–Watt, Glasgow, Newcastle, Durham, York, Leeds, Manchester, Nottingham, St Andrews, and Leicester, and meets three times a year.
We are very grateful for financial support from the London Mathematical Society, the Glasgow Mathematical Journal Learning and Research Support Fund and the Heilbronn Institute for Mathematical Research.
NBGGT and AI
With the recent developments in AI-generated mathematics, many of us are now unsure how to interact at mathematical meetings, with the worry that someone may try to one-shot a question they mention with an LLM prompt. This is a complicated issue that our community as a whole is only starting to address. At our smaller NBGGT scale though, we will ask that for now our meetings remain AI-free events. This means concretely two things: We ask participants not to use LLMs during the entirety of the meeting. We also ask participants not to use as AI prompt afterwards any of the questions mentioned or raised during the meetings: during a talk, during the Q&A sessions, or during the coffee break / informal dinner.
Just to be clear: Everyone is still absolutely welcome at our NBGGT events, regardless of their AI usage or AI opinions. And we are not asking anyone to share more than what they feel comfortable sharing in the current climate. But we do believe that one of the strengths of our NBGGT community is our ability to have friendly, informal, and open conversations with each other, which allows us to learn about interesting mathematical developments and about all the exciting research directions ahead. It is this very social and human aspect that we wish to preserve, especially for our more vulnerable early-career colleagues. With this, we hope that our NBGGT events can remain a (mathematically and socially) safe space for everyone.
Travel support & Dinner
This year, in addition to cover train travel costs for ECR (PhD students and post-docs) we have some small amount to cover train travel costs from more established participants who may not have any travel funding, due for instance to university financial issues. Please contact Alex (alexandre.martin@hw.ac.uk) if you would be interested. We cannot guarantee we will be able to cover it, and ECR participants will still have the priority for travel reimbursement.
If you would like to join the social dinner afterwards (at 18:00 in a restaurant near the Bayes centre), please fill this short dinner form by Wednesday 28 October, so that we can book the restaurant in time.