Moduli of rational homotopy types

Event details
Date | 02.11.2012 |
Hour | 14:15 › 15:30 |
Speaker | Michael Schlessinger (UNC-Chapel Hill) |
Location |
MA 10
|
Category | Conferences - Seminars |
The set of nilpotent rational homotopy spaces with given cohomology algebra H forms a "moduli space". In fact, it has the form M = Aut H\ W /U, where W is the cone over a projective algebraic variety, and U is a unipotent algebraic groupoid. We outline the construction, which proceeds from the observation that W is the base of the "miniversal deformation" of the formal space F with cohomology H. We also relate the construction to the classifying space BAut(F) and give examples and problems.
Links
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess (EPFL)