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Differential Geometry: “On the Hamiltonian Gromov-Witten theory”

Dr. Rui Wang, UC Irvine

Friday, April 28, 2017
  11:10 a.m.–Noon

Location: Surge Building 268
  Parking Information

Category: Seminar


The symplectic reductions from compact Hamiltonian Lie group actions on symplectic manifolds are important examples in the study of symplectic topology. Dating back to Givental’s work, it is believed that certain quantized equivariant cohomology ring of the ambient symplectic manifold can be used to understand the quantum cohomology rings of the reductions. During the past ten years, several groups of people have been working hard in fulfilling this goal using the symplectic vortex equations, but unfortunately, the corresponding moduli spaces suffer serious defect in compactness which makes the general theory fail. In my talk, I will explain my ongoing project with Bohui Chen and Bai-Ling Wang in setting up a surjective ring homomorphism from some newly defined quantized equivariant cohomology ring of the ambient space to the quantum cohomology ring of the reductions via several newly defined moduli spaces. 

Additional Information: Math Seminars

Open to: General Public
Admission: Free
Sponsor: Mathematics

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