Title:  Intersection theory in higher dimensions and applications

Speaker:  Zhengyi Zhou

Abstract: Siefring's intersection theory is a power tool in 3D contact topology. In this talk, we will explain a simpler yet applicable version of the intersection theory in higher dimensions, which is weaker than the one announced by Siefring. Then we will explain some topological applications of the theory, including the unknottedness of symplectic submanifold fillings, tightness of Bourgeois contact structures, and the chain level homotopies in contact homology. This is partially based on joint work with Russell Avdek and joint work in progress with Russell Avdek, Erkao Bao, and Georgios Dimitroglou Rizell.