Title:  Involutive concordance invariants from branched covers of knots

Abstract: Involutive Floer homology of 3-manifolds, developed by Hendricks and Manolescu, is known to give obstructions to homology cobordisms. In this talk, we give a knot-theoretic counterpart of involutive Floer theory by considering the deck transformation action on the branched double coverings of knots in S^3, and show that it gives an interesting obstruction to having a  knot concordance. We also describe a natural way of extending our construction to higher covers. This is a joint work with Antonio Alfieri and Andras Stipsicz.