Talbot 2015: Little Disks Operads

Mentored by Kathryn Hess and Dev Sinha

April 5-11, 2015
Mt. Hood, Oregon



Here is a document containing detailed talk outlines and references (intended to help the speakers prepare), written by the mentors.

Eva's notes from the workshop can be found here: (pdf, tex sources).

The talk schedule is as follows.

Monday:

  • Introduction and general overview, by Kathryn Hess and Dev Sinha
  • The homotopy theory of operads and their bimodules, by Elaine So
  • The Boardman-Vogt tensor product of operads and their bimodules, by Amelia Tebbe
  • The little disks and little cubes operads, by Aliaksandra Yarosh
  • Model categories and derived mapping spaces, by Kyle Gray
  • Tuesday:

  • (Co)homology and compactifications of configuration spaces, by Felicia Tabing
  • Graph-theoretic models for the de Rham theory of configuration spaces, by Umut Varolgunes
  • Application to knot theory, by Daniel Alvarez-Gavela
  • Embedding calculus, by Jeremy Mann
  • Cosimplicial models for the spaces of long knots and of long links, by Kim Nguyen
  • Wednesday:

  • Formality of models for spaces of long knots, by John Berman
  • Formality and deformation quantization, by Felix Wierstra
  • Thursday:

  • Rational homology of spaces of long embeddings, by Robin Koytcheff
  • The Double Delooping theorem for spaces of long knots, by Rebecca Wei
  • Right-angled Artin operads and their resolutions, by Dimitri Zaganidis
  • The Iterated Delooping theorem for spaces of long embeddings, by Inbar Klang
  • Friday:

  • The profinite Grothendieck-Teichmuller group, by Massimiliano Ungheretti
  • Little 2-disks and the profinite Grothendieck-Teichmuller group, by Chris Owens
  • Little disks and the prounipotent Grothendieck-Teichmuller group, by Joshua Wen
  • Future directions, by Kathryn Hess and Dev Sinha