Postdoc day, Seminar 4: Formality and non-zero degree maps

Date: 2022-02-11

Time: 15:50 - 16:20


Aleksandar Milivojevic


Given the existence of a non-zero degree map between spaces satisfying rational Poincaré duality, does it follow that the target is formal if the domain is formal (in the rational homotopy theoretic sense)? I will discuss some results pointing towards a potential positive answer, both in the topological and holomorphic settings, where in the latter Serre duality plays the role of Poincaré duality and there are several contenders for a correct notion of formality.