UCLA Distinguished Lecturers


Distinguished Lecture Series 2011 - 2012
Paul Seidel
Massachusetts Institute of Technology

Paul Seidel is a Swiss-Italian mathematician. He is currently a faculty member at the Massachusetts Institute of Technology. He was a former member of the mathematics faculty at the University of Chicago. In 2010 he was awarded the Oswald Veblen Prize in Geometry "for his fundamental contributions to symplectic geometry and, in particular, for his development of advanced algebraic methods for computation of symplectic invariants."

Source: Wikipedia
Complex curves and Lagrangian submanifolds in symplectic topology

LECTURE 1 - Examples and constructions
We will consider some simple constructions of low-dimensional symplectic manifolds; how they look from the point of view of holomorphic curve theory; and what the use of Lagrangian submanifolds can add to that picture.

LECTURE 2 - Flux and related invariants
Starting with the classical notion of flux, we will consider new invariants of symplectic manifolds associated to odd cohomology classes. These are related to the derived Picard groups of homotopical algebra.

LECTURE 3 - Hidden symmetries
Certain classes of symplectic manifolds show non-geometric symmetries. These can be used to produce refined intersection numbers and monodromy maps. If time permits, we will explain the relation with mirror symmetry.

Lectures

  • January 24, 2012 - Tuesday @ 3:00 - 3:50 pm in MS 6627
  • January 25, 2012 - Wednesday @ 3:00 - 3:50 pm in MS 6627
  • January 26, 2012 - Thursday @ 3:00 - 3:50 pm in MS 6627
Poster

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Distinguished Lecture Series


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