BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY: Constructing factorization spaces and chiral algebras from the Hi
 lbert scheme of points. 
DTSTART:20150414T151500
DTEND:20150414T170000
DTSTAMP:20260407T020835Z
UID:4976a10146bac1ae82aeda538bbd31b6abeb6d01e5843d4c66351d54
CATEGORIES:Conferences - Seminars
DESCRIPTION:Emily Cliff\, Oxford\nGiven a complex surface X\, Nakajima and
  Grojnowski have shown that the cohomology H of Hilb(X) is naturally a rep
 resentation of the Heisenberg Lie algebra modelled on the cohomology of X\
 , and is isomorphic as a representation to the Fock space. It follows that
  H acquires a canonical structure of vertex algebra\, and hence that we ca
 n associate to H a factorization or chiral algebra over any curve C. Motiv
 ated by this result\, we attempt to construct this factorization algebra d
 irectly using the Hilbert scheme of X. In the first half of this talk\, we
  will review some of the ideas of Grojnowski and Nakajima\, and introduce 
 the notions of factorization spaces and factorization algebras\; then we s
 how how we can use Hilb(X) to produce examples of each over curves and sur
 faces. In the second half\, we will introduce the category of chiral algeb
 ras\, which is Koszul dual to the category of factorization algebras. Then
  we will study the factorization algebra living over the surface X in more
  detail: we will compute its chiral homology and some other properties.
LOCATION:MAA330 http://plan.epfl.ch/?zoom=20&recenter_y=5864131.98476&rece
 nter_x=731135.48838&layerNodes=fonds\,batiments\,labels\,information\,park
 ings_publics\,arrets_metro\,transports_publics&floor=3&q=MAA330
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR