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Seminar
FIELD Math:Topology
DATE December 22 (Wed), 2021
TIME 14:00-16:00
PLACE 8101
SPEAKER Cho, Yunhyung
HOST Choa, Dongwook
INSTITUTE 성균관대학교
TITLE Detecting monotone Lagrangian tori using gradient holomorphic discs.
ABSTRACT For a given Hamiltonian circle action on a compact symplectic manifold, each free circle orbit produces a certain holomorphic disc (called a gradient holomorphic disc) invariant under the circle action. Each gradient holomorphic disc contains exactly one fixed point in its interior. We will show that the Maslov index of the disc bounded by a circle invariant Lagrangian submanifold with constant momentum is twice the sum of the weights of the fixed point. The proof involves two main techniques: ABBV-localization and symplectic cut. Using the Maslov index formula, we find many monotone Lagrangian

submanifolds in a given (partial) flag manifold. This is joint work with Yoosik Kim
FILE 770621640512366521_1.jpg
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