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SUMMARY:Mohammed Abouzaid (Columbia University)
DTSTART;VALUE=DATE-TIME:20211105T190000Z
DTEND;VALUE=DATE-TIME:20211105T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T071015Z
UID:agstanford/67
DESCRIPTION:Title: What can symplectic topology tell us about algebraic varieties?\nb
y Mohammed Abouzaid (Columbia University) as part of Stanford algebraic ge
ometry seminar\n\nLecture held in 383-N.\n\nAbstract\nI will begin by brie
fly recalling the relationship between\ncomplex projective algebraic geome
try and symplectic topology\, which\ngoes through Kaehler manifolds. I wil
l then survey results from the\nend of the last century\, largely due to S
eidel and McDuff\, about the\nsymplectic topology of Hamiltonian fibration
s over the 2-sphere\, and\ntheir consequences for smooth projective maps o
ver the projective\nline. Finally\, I will indicate some recent advances i
n this area\,\nincluding the use of methods of Floer homotopy theory to\nr
efine our knowledge about the topology of these spaces.\n
LOCATION:https://researchseminars.org/talk/agstanford/67/
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