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제목 : Symplectic Dilations and the Complexity of Liouville Domains.
초록: A natural question in symplectic geometry is how large a collection of pairwise disjoinable Lagrangian submanifolds in a fixed symplectic manifold can be.
In this talk, I will discuss the approach of Seidel and Solomon to this question for Liouville domains admitting a dilation. A dilation is a class of symplectic homology, which hits the unit by the BV operator. The existence of such a class leads to a refined Lagrangian intersection number.
I will first review the BV operator on symplectic homology. Then I will explain the construction of the Seidel-Solomon q-intersection number. Finally, I will apply this theory to Lagrangian spheres in Milnor fibers.
많은 참여 부탁드립니다.
강정수 드림