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SUMMARY:Mohammed Abouzaid (Columbia University)
DTSTART:20211105T190000Z
DTEND:20211105T200000Z
DTSTAMP:20260407T231011Z
UID:agstanford/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/6
 7/">What can symplectic topology tell us about algebraic varieties?</a>\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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