The goal of this seminar is to introduce participants to rational homotopy theory. In the first five weeks, PJ Jedlovec will give a minicourse (notes below). The following weeks, participants will give talks and lead problem sessions on applications of rational homotopy theory to their specific area of interest.

Organizers: Jens Jakob Kjaer and J.D. Quigley
Seminar: Tuesday, 9:00-10:00am, Hayes-Healy 125
Problem session: Thursday, 4:00-5:00pm, Hayes-Healy 125

Schedule

• August 30
  Minicourse: Part 1 (PJ Jedlovec)
  Notes Problems
• September 6
  Minicourse: Part 2 (PJ Jedlovec)
  Notes Problems
• September 13
  Minicourse: Part 3 (PJ Jedlovec)
  Notes Problems
• September 20
  Minicourse: Part 4 (PJ Jedlovec)
  Notes Problems
• September 27
  Minicourse: Part 5 (PJ Jedlovec)
  Notes Problems
• October 4
  Functor Calculus and the Rational Taylor Tower of the Identity (Jens Jakob Kjaer)
  Notes Jens' notes Problems
• October 11
  Koszul Duality (Mark Behrens)
  Notes Problems
• October 18
  No seminar - fall break
  
• October 25
  A Geometric Description of Vertex Algebras Via Factorization Algebras (Jennifer Garbett)
  Abstract Notes Problems
• November 1
  Examples and Criteria for Formality (Jeremy Mann)
  Notes Problems
• November 8
  Formality of Kahler Manifolds (Jeremy Mann)
  Notes Problems
• November 15
  Obstruction theory for rational homotopy equivalences (J.D. Quigley)
  Notes Problems