The stable -algebra of a Smale space is obtained from the étale groupoid associated to the space’s stable equivalence relation. When the original system is mixing, the stable -algebra is simple, separable, nuclear and stably finite. I will outline the construction of an explicit inductive-limit decomposition of the stable -algebra when the stable sets are totally disconnected. From this, one can often compute the -theory of the stable -algebra. The talk will be example-based. In particular, no knowledge of Smale spaces is required. This talk is based on joint work with Allan Yashinski.
The Structure of the Stable -Algebra of a Class of Smale Spaces
(Joint with Anna Puskas) In this talk, we determine all of the imaginary -quadratic fields with class number dividing 32, ; results for were previously computed by Watkins. Our results provide techniques to find complete lists of imaginary -quadratic fields of class number for nonnegative integers . Further, given a fixed we find a bound on for which there are no imaginary -quadratic fields of class number whenever .
Imaginary Multiquadratic Fields of Class Number Dividing 32
Nov. 07, 2017 1pm (MATH 220)
Grad Algebra/Logic
Peter Mayr (CU Boulder) Promises and constraints 4
I will describe results obtained in collaboration with the Blue Brain Project on the topological analysis of the structure and function of digitally reconstructed microcircuits of neurons in the rat cortex.
I will explain the construction of a new model for the configuration space of a product of two closed manifolds in terms of the configuration spaces of each factor separately. The key to the construction is the lifted Boardman-Vogt tensor product of modules over operads, developed earlier in joint work with Dwyer.
(Joint work with Bill Dwyer and Ben Knudsen.)
Configuration spaces of products Sponsored by the Meyer Fund
The Structure of the Stable -Algebra of a Class of Smale Spaces