An attempt on the classification of unstable Adams operations for p-local compact groups
Event details
| Date | 10.06.2015 |
| Hour | 10:15 › 11:30 |
| Speaker | Ran Levi (Aberdeen) |
| Location |
TBA
|
| Category | Conferences - Seminars |
A p-local compact group is an algebraic object modelled on the homotopy theory associated with p-completed classifying spaces of compact Lie groups and p-compact groups. In particular p-local compact groups give a unified framework in which one may study p-completed classifying spaces from an algebraic and homotopy theoretic point of view. Like compact Lie groups and p-compact groups, p-local compact groups admit ``unstable Adams operations”, i.e. certain self equivalences of their algebraic structure which give rise to self homotopy equivalences of their classifying spaces, and are characterised by their effect on p-adic cohomology. Similarly to the classical case, unstable Adams operations are considered to be a very useful and important family of maps. For instance, their existence was used by Gonzalez to express p-local compact groups as colimits of certain finite approximations. However, for a given p-local compact group and a given p-adic degree, the question whether an unstable Adams operation of that degree exists, and if it does whether it is unique up to homotopy, is not well understood. In this talk, based on a joint project with Assaf Libman, I will report on recent progress on these and related questions.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess