MATH 4560 - Geometry of Discrete Groups

(SMR-AS)

Fall. Offered alternate years. Next offered: 2022-2023. 4 credits. Student option grading.

Prerequisite: an introduction to groups via MATH 3340, MATH 3360, MATH 4340, or MATH 4500, or permission of instructor. Students will be expected to be comfortable with proofs.

Staff.

An introduction to the geometric approach to the theory of infinite discrete groups. Topics include group actions, the construction of Cayley graphs, connections to formal language theory, actions on trees, volume growth, and large-scale geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group, and Thompson’s groups.