Moduli of rational homotopy types

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Event details

Date 02.11.2012
Hour 14:1515:30
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.

Practical information

  • Informed public
  • Free

Organizer

  • Kathryn Hess (EPFL)

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