What can symplectic topology tell us about algebraic varieties?

Mohammed Abouzaid (Columbia University)

05-Nov-2021, 19:00-20:00 (7 months ago)

Abstract: I will begin by briefly recalling the relationship between complex projective algebraic geometry and symplectic topology, which goes through Kaehler manifolds. I will then survey results from the end of the last century, largely due to Seidel and McDuff, about the symplectic topology of Hamiltonian fibrations over the 2-sphere, and their consequences for smooth projective maps over the projective line. Finally, I will indicate some recent advances in this area, including the use of methods of Floer homotopy theory to refine our knowledge about the topology of these spaces.

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

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More seminar information (including slides and videos, when available): agstanford.com

Organizer: Ravi Vakil*
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