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 first part of a two part talk.
Some combinatorial representations of affine Weyl groups
The CU Math Department’s undergraduate program, especially its service courses, looks vastly different than it did 30 years ago. This is due to the efforts of a number of faculty, but all the changes show the indelible mark of Rob Tubbs, who for three decades worked to transform our program into the national model for education it is today. We will describe this evolution, and the logic behind its interrelated parts.
The evolution of our Undergraduate Program: An homage to Robert Tubbs
Sep. 26, 2023 3:30pm (MATH 3…
Topology
Alex LaJeunesse
X
Last week we saw how cohomology theories correspond to objects called omega-spectra. We will use the language of model categories to study the homotopy theory of these objects and to define the Stable Homotopy Category (of spectra), which plays a role in topology similar to that played by the derived category in homological algebra. After investigating some properties of this category, we will define homotopy groups of general spectra and look at some tools that help us compute them.
Some combinatorial representations of affine Weyl groups