Inverting primes in Weinstein geometry
Inverting primes in Weinstein geometry
Zoom link: : https://theias.zoom.us/j/97116147750?pwd=L2Fud1Y4Z2xsT3dhU2NrV0ZXd3lUQT09
A classical construction in topology associates to a space X and prime p, a new "localized" space X_p whose homotopy and homology groups are obtained from those of X by inverting p. In this talk, I will discuss a symplectic analog of this construction, extending work of Abouzaid-Seidel and Cieliebak-Eliashberg on flexible Weinstein structures. Concretely, I will produce prime-localized Weinstein subdomains of high-dimensional Weinstein domains and also show that any Weinstein subdomain of a cotangent bundle agrees Fukaya-categorically with one of these special subdomains. The key will be to classify which objects of the Fukaya category of T^{\ast} M – twisted complexes of Lagrangians – are quasi-isomorphic to actual Lagrangians.
This talk is based on joint work with Z. Sylvan.