BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20231013T092157Z
DTSTART:20231204T133000Z
DTEND:20231204T143000Z
SUMMARY:Manchester Geometry Seminar - Andrey Lazarev
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}v23z-lnoegl
 wv-jadxie
DESCRIPTION:Speaker: Professor Andrey Lazarev (Lancaster)\n\nTitle: Homot
 opy gauge equivalence of Maurer-Cartan elements\n\nAbstract: A Maurer-Ca
 rtan (MC) element in a differential graded algebra (dga) A is an element
  x satisfying the equation of flat connection dx+x^2=0. Two MC elements 
 x and y are gauge equivalent if there is an invertible element a in A su
 ch that x=aya^{-1}-daa^{-1}. The set of MC elements in A modulo gauge eq
 uivalence is called the MC moduli set of A. These are well-known and cla
 ssical notions familiar to experts in differential geometry and deformat
 ion theory. It is also well-known that the moduli set of MC elements is 
 not a quasi-isomorphism invariant of a dga. In this talk I will explain 
 how one can usefully weaken the notion of a gauge equivalence so that it
  leads to the MC moduli set becoming a homotopy invariant (in a certain 
 precise sense). This is the beginning of a long story\, with many intere
 sting ramifications of which I will attempt to outline a few. Nontrivial
  examples come from de Rham and Dolbeault algebras.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams Room\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR