Geometric Group Therapy Seminar

Speaker: Motiejus Valiunas (University of Wrocław)

Title: Non-positive curvature and (non-)biautomaticity

Abstract: I will discuss the relationship between the class of biautomatic groups and various notions of non-positive curvature. I intend to introduce various examples of biautomatic and non-biautomatic groups, to discuss results ranging from the introduction of biautomatic groups in late 1980s to a paper that appeared on the arXiv on 9 December 2024, and to provide more questions than answers.