Speaker: Matt Stoffregen

Abstract: We study the equivariant concordance group of strongly invertible knots.  Using knot Floer homology (especially the knot Floer TQFT), we introduce some new invariants of equivariant concordance.  As a consequence, we can find strongly invertible slice knots whose equivariant 4-genus is arbitrarily large.   This also provides a means of constructing many non-isotopic surfaces-with-boundary in 4-manifolds.  This is joint work with Irving Dai and Abhishek Mallick.