GAGTA 2023 Problem Session
Henry Bradford, Christopher H. Cashen, Francesco Fournier-Facio, and Nicol\'as Matte Bon, Harry Petyt
TL;DR
The GAGTA 2023 Problem Session presented open problems in geometric and asymptotic group theory, highlighting current research challenges and directions in understanding group properties and dynamics.
Contribution
This paper compiles and presents key open problems discussed at GAGTA 2023, fostering future research in geometric group theory.
Findings
Identification of unresolved problems in residual finiteness growth
Open questions on hyperbolic groups and their boundaries
Challenges in embedding left orderable groups
Abstract
The conference `Geometric and Asymptotic Group Theory with Applications (GAGTA) 2023: Groups and Dynamics' took place at the Erwin Schr\"odinger Institute on July 17-21. These are the problems that were proposed during the Problem Session: Residual finiteness growth, Geometric v. random walk boundaries, Stability, Cogrowth, Embedding left orderable groups, Schreier growth gap, models for hyperbolic groups, Characterizing hyperbolic groups
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Spectral Theory in Mathematical Physics