In some varieties close to groups, there are two competing notions of solvability, one coming from the commutator theory of congruence modular varieties and the other from the classical solvability of group theory. In this talk we will explore the two notions of solvability. Among other results, we will show that they agree in finite Moufang loops. If time permits, I will also mention some recent results on supernilpotence of groups and loops. This is joint work with Ales Drapal and David Stanovsky.
Solvability and supernilpotence in varieties close to groups Sponsored by the Meyer Fund
Inquiry-based learning (IBL) is a framework for teaching in which students engage actively with meaningful problems, collaborate with peers, and communicate their results. This talk will give an introduction to IBL teaching methods. We’ll start with an activity in which attendees will play the role of students in an IBL activity. Then we will discuss what IBL is and how you might consider including it (or more of it) in your classes. No prior experience with IBL is necessary!
A Taste of IBL (Inquiry-Based Learning) Sponsored by the Meyer Fund
Oct. 03, 2023 2:30pm (MATH 3…
Lie Theory
Richard Green (CU)
X
The Weyl groups of type affine D are a family of infinite groups. I will show how these groups arise naturally as invertible operators acting on a specific type of discrete structure. This gives rise to combinatorially interesting one-parameter families of finite dimensional representations of the groups.
This is the second part of a two part talk.
Some combinatorial representations of affine Weyl groups (continued)
Oct. 03, 2023 3:30pm (MATH 3…
Topology
Sarah Petersen
X
This talk will introduce Thom spectra, the spectrum of complex cobordism MU, and the formal group laws associated to complex oriented spectra.
Solvability and supernilpotence in varieties close to groups