Speaker

Daren Chen 陈大任

California Institute of Technology

I am a postdoctoral scholar in mathematics at Caltech. My postdoc mentors are Yi Ni and Sergei Gukov. I am interested in low-dimensional topology, in particular Khovanov homology and knot Floer homology of links in S³, sometimes in other 3-manifolds. Before that, I obtained my PhD at Stanford University. My PhD advisor is Ciprian Manolescu.

Abstract

Khovanov homology is a powerful invariant for studying links in S^3. Khovanov's originally definition is motivated by representation theory, and since then, there have been many interpretations of it from different perspectives. In this talk, we will review the interpretation given by Ozsvath and Szabo, relating it to the Heegaard Floer homology of the branched double cover of S^3 over the link, and explore how this allows an extension of the definition to null homologous links in the real projective space RP^3.