BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Higher Lie Theory
DTSTART:20200929T101500
DTEND:20200929T111500
DTSTAMP:20260406T144343Z
UID:70962107347bb10ce75b6d62df1aa598d9613d0e78e501960c18e3b6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bruno Vallette\, Université Paris 13\nThe construction of the
  infinity-groupoid associated to homotopy Lie algebras due to Getzler\, af
 ter Hinich’s works\, can actually be presented in a more simple and more
  powerful way. While Getzler defines it intrinsically as the gauge (kernel
 ) of the Dupont’s contraction\, I will use the seminal approach of Kan t
 o adjoint functors to/from simplicial sets. This will provide me with a ne
 w way to integrate homotopy Lie algebras which shows how Getzler’s funct
 ion can be represented by a universal object\, that it admits a left adjoi
 nt\, that it is actually functorial with respect to infinity-morphisms. Th
 is approach will allow me to fully describe the sets of horn fillers: this
  will settle the Kan property in a canonical way which will make this obje
 ct and algebraic infinity-groupoid\, that is with given horn fillers. This
  change of paradigm will make us leave algebraic topology and enter algebr
 a. In this way\, we can perform explicit and algorithmic computations. For
  instance\, the first horn filler gives the celebrated Baker—Campbell—
 Hausdorff formula. The higher horn fillers introduce for the first time hi
 gher BCH formulas. This also gives us homotopy Lie algebra models in ratio
 nal homotopy theory.\n\nThis is a project with Daniel Robert-Nicoud. 
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR