BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20180325T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20171029T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20190321T155610Z
UID:5936c1704182b825016861@ist.ac.at
DTSTART:20180301T130000
DTEND:20180301T150000
DESCRIPTION:Speaker: Tristan Bozec\nhosted by Tamas Hausel\nAbstract: Given
a curve X of genus g\, the moduli stack of Higgs sheaves of rank r and de
gree d is known to be of dimension 2(g-1)r^2. It can be viewed as the cota
ngent stack of the stack of coherent sheaves of type (r\,d) over X\, and L
aumon proved that the substack of nilpotent Higgs pairs is Lagrangian. Thi
s substack is a global analog of the nilpotent cone\, and is nothing but t
he 0-fiber of the Hitchin map. It is highly singular\, and one first inter
esting step toward its comprehension is the study of its irreducible compo
nents. This study is also motivated by a result stating that the number of
stable components is given by the value at 1 of the Kac polynomial of the
quiver with one vertex and g loops (conjectured by Hausel\, Letellier\, R
odriguez Villegas\, proved by Mellit)\, as well as by the W=P conjecture (
de Cataldo\, Hausel\, Migliorini). I will give a nice combinatorial descri
ption of this set of components\, and will explain which ones subsist when
we restrict ourselves to the semistable locus (with respect to the usual
slope stability).
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Irreducible components of the global nilpotent cone
URL:https://talks-calendar.app.ist.ac.at/events/1032
END:VEVENT
END:VCALENDAR