On a Linear Combination of Link Spectral Invariants on the Sphere

Explore link spectral invariants and their homogenizations in this 26-minute research talk from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar. Delve into joint research with Ibrahim Trifa that defines a linear combination of quasimorphisms and demonstrates its vanishing property on the stabilizer of the equator in S². Examine how this mathematical result connects to the still-open equator conjecture in symplectic geometry. Learn about the theoretical framework established by Cristofaro-Gardiner et al. and discover new insights into the behavior of spectral invariants on spherical surfaces. Gain understanding of advanced concepts in symplectic topology and their applications to geometric problems involving link invariants and sphere dynamics.