Sectorial Decompositions of Symmetric Products and Homological Mirror Symmetry

报告人： Xinle Dai (Harvard University)

摘要： Symmetric products of Riemann surfaces play a crucial role in symplectic geometry and low-dimensional topology. They are essential ingredients for defining Heegaard Floer homology and serve as important examples of Liouville manifolds when the surfaces are open. In this talk, I will discuss ongoing work on the symplectic topology of these spaces through Liouville sectorial methods, along with examples as applications of this decomposition construction to homological mirror symmetry.

时间： Friday, Jan 10, 13:00-15:00

地点： Room 1410, SIMIS