27 May and 3 June 2024  2:00 pm – 3:00 pm

Location: DM Meeting room, building VII

Numerical semigroups, due to their inherent simplicity, find applications across various branches of mathematics. Despite their straightforward definition, they possess a depth of complexity comparable to that of integer partitions. One of the many reasons they are still actively studied is their natural appearance in the study of algebraic curves. In this lecture series on numerical semigroups, we aim to accomplish two goals:

Review some geometric constructions of (generalized) numerical semigroups with an eye towards applications (Lecture 1).
Introduce a theory of non-commutative numerical semigroups related to algebraic groups (Lecture 2).