@ Harvard

Math ???: Embedded Contact Homology. Fall 2019
Description: ECH is one of the 3 isomorphic Floer homologies which apply to 3manifolds, (symplectic) 4manifolds, and relations between them. It is defined by "counting" holomorphic curves and periodic orbits, and a big part of this course will be to study its foundations and difficulties (which plague other contact homologies). Some applications of ECH to be described include 1) distinguishing contact 3manifolds and symplectic 4manifolds, 2) the Weinstein conjecture on the existence of periodic orbits, and 3) the relations to SeibergWitten theory.

Math ???: Calculus, or Differential Geometry. Spring 2020
@ UC Berkeley

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