Algebraic Torsion of Concave Boundaries of Linear Plumbings

Explore advanced concepts in symplectic geometry through this research seminar lecture focusing on algebraic torsion and its role in understanding topological complexity of homomorphic curves in Floer theories of contact manifolds. Delve into the examination of algebraic torsion and contact invariant in embedded contact homology, with particular emphasis on concave linear plumbings and their boundaries as contact lens spaces. Learn about newly developed curve counting methods and their applications in understanding symplectic fillability and overtwistedness of contact 3-manifolds. Discover the parallels between these methods and contact toric descriptions of lens spaces, while examining potential applications to nonfillable tight contact 3-manifolds from general plumbings. Based on collaborative research with Aleksandra Marinkovic, Ana Rechtman, Laura Starkston, Shira Tanny, and Luya Wang at Rice University.