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23rd to 27th February
The retreat will focus on separability and Morse local-to-global properties within groups.
Separability, or the study of the profinite topology on groups, has been a key motivating problem in geometric group theory since its inception. Indeed, many deep structural results have been discovered after an intricate analysis of the topology (see for example Wise’s virtual compact special group machinery which led to the solution of the Thurston’s virtual fibring conjecture). On the other hand, the exciting and recently developed Morse local-to-global property gives new tools for understanding groups via their intrinsic geometry.
The philosophy of using geometric methods to analyse the profinite topology has been central to modern geometric group theory; despite this, the connections and utility of the Morse local-to-global property towards analysing the profinite topology remain unexplored.
Practical information
Participation is by invitation only. Participants will be responsible for their travel costs, but we will cover full board and lodgings at
Wolff Hotel,
Birresbornerstr.8
54574 Kopp (Eiffel)
+49 6594 92090
We gratefully acknowledge funding from the Hausdorff School for Mathematics at Rheinische Friedrich-Wilhelms-Universität Bonn.
Format and schedule of the workshop
The workshop will follow a similar structure to the workshops run by the American Institute of Mathematics. There will be a small number of introductory presentations. These are intended to be informal, with lots of questions and answers during the talks. The remainder of the time will be dedicated to group activities. This will involve a large group discussion on Monday afternoon discussions to prepare a problem list to tackle for the rest of the week. the remainder of the week will see us break into groups of 4 to 6 people to work on specific topics of interest. Example topics include: discussing possible approaches to a problem, an "ask the expert" session, or beginning work on a problem which will continue long after the workshop ends. Each group gives a brief report to the entire workshop at the end of the afternoon. To facilitate this participants are encouraged to prepare a question before the workshop.
Participants
Naomi Andrew Université Paris-Saclay (LMO)
Hannah Boß Universität Bonn
Will Cohen University of Cambridge
Daniel Echtler Heinrich Heine University Düsseldorf
Francesco Fournier-Facio University of Cambridge
Jonathan Fruchter Universität Bonn
Paula Heim MPI MiS Leipzig
Huaitao Gui University of Copenhagen
Rafaela Ioannou Heriot-Watt University
Alice Kerr MPI MiS Leipzig
Monika Kudlinska University of Cambridge
Marco Linton ICMAT
Lawk Mineh Universität Bonn
Josh Perlmutter Brandeis University
Kaitlin Ragosta Brandeis University
Talia Shlomovich Heriot-Watt University
Bratati Som Tata Institute of Fundamental Research, Mumbai
Jon Merladet Urigüen University of Southampton
Xiyan Zhong MPIM Bonn
Organisation
Sam Hughes sam.hughes.maths@gmail.com
Stefanie Zbinden szbinden@math.uni-bonn.de
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