Mapping class groups and operads

The University of Copenhagen

September 3-7, 2007

   

Organizers: Nathalie Wahl and Craig Westerland.

Participants:

  • Michael Ching (Johns Hopkins).
  • Johannes Ebert (Oxford).
  • Jeff Giansiracusa (IHES/Oxford).
  • Paolo Salvatore (Rome).

Program:

 

 Mon   11:15-13:00 Ching 
 15:15-16:15 Salvatore		  Bar, cobar constructions (Getzler-Kapranov, Ginzburg-Kapranov)
 Bar construction for topological operads
 Tue  10:15-12:00 Ebert
 15:15-16:15 Westerland		  Modular operads (Getzler-Kapranov)
 Koszul duality and string topology
 Wed  10:15-12:00 Giansiracusa
 15:15-16:15 Ebert		  Graph homology: Koszul and Verdier duality (Lazarev-Voronov)
 H_2(\bar M_g)
 Thu  10:15-12:00 Wahl
 15:15-16:15 Ching		  TCFT and Calabi-Yau categories (Costello)
 Koszul duality, configuration spaces and calculus of functors
 Fri  10:15-12:00 Westerland
 13:15-14:15 Giansiracusa		  Gromov-Witten potential and TCFT (Costello)
 Homology of the compactified moduli space

 

References:

  • A. Lazarev, A. A. Voronov, "Graph homology: Koszul and Verdier duality" (Jeff)
  •  Ginzburg-Kapranov, " Koszul duality for operads" (Michael)
  • Getzler-Kapranov, "Cyclic operads and cyclic homology" and "Modular operads" (Johannes)
  • Costello, "Topological conformal field theories and Calabi-Yau categories" and "The Gromov-Witten potential associated to a TCFT" (Craig and Nathalie)