From precalculus to calculus in algebraic topology
Event details
| Date | 27.10.2015 |
| Hour | 10:15 › 11:30 |
| Speaker | Kathryn Hess |
| Location |
CM113
|
| Category | Conferences - Seminars |
(Joint work in progress with Brenda Johnson.) The many theories of "calculus" introduced in algebraic topology over the past couple of decades--e.g., Goodwillie's calculus of homotopy functors, the Goodwillie-Weiss manifold calculus, the orthogonal calculus, and the Johnson-McCarthy cotriple calculus--all have a similar flavor, though the objects studied and exact methods applied are not the same. We have constructed a common, relatively simple category-theoretic framework, which we call precalculus, into which all of the above-mentioned examples fit and which naturally leads us to define new flavors of calculus as well. In this talk I will define the theory of precalculi, then explain how to derive a full-blown calculus from a precalculus. I will also describe the precalculi underlying each of the standard calculi, then indicate promising directions in which to look for new and useful calculi arising from precalculi.
Links
Practical information
- Informed public
- Free
Organizer
- Magdalena Kedziorek