BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20260329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20261025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260515T124605Z
UID:69e9f31b011f4981900418@ist.ac.at
DTSTART:20260611T131500
DTEND:20260611T150000
DESCRIPTION:Speaker: Silvia Sabatini\nhosted by Tamas Hausel\nAbstract: Pos
 itive monotone symplectic manifolds are the symplectic analogues of Fano v
 arieties\; namely\, they are compact symplectic manifolds whose first Cher
 n class coincides with the cohomology class of the symplectic form.In dime
 nsion six\, if a positive monotone symplectic manifold admits a Hamiltonia
 n circle action\, a conjecture of Fine and Panov asserts that it is diffeo
 morphic to a Fano variety. More generally\, the question of whether a posi
 tive monotone symplectic manifold with symmetries is homotopy equivalent\,
  homeomorphic\, diffeomorphic\, or symplectomorphic to a Fano variety rema
 ins wide open.In this talk\, I will report on recent results concerning po
 sitive monotone symplectic manifolds endowed with a special class of Hamil
 tonian torus actions\, called GKM_3 actions. I will explain how these stru
 ctures allow one to prove several finiteness results and quantitative boun
 ds on the Chern numbers\, therefore in particular\, on the symplectic volu
 me. The latter resembles the bound obtained by Kollr-Miyaoka-Mori for the 
 volume of Fano varieties.
LOCATION:Sunstone Bldg / Ground floor / Big Seminar Room A / 27 seats (I23.
 EG.102)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Silvia Sabatini: Positive monotone symplectic manifolds with symmet
 ries and GKM spaces
URL:https://talks-calendar.ista.ac.at/events/6464
END:VEVENT
END:VCALENDAR