AbstractWe will survey aspects of algebraically defined link homology theories and discuss several key open questions that come out of these structures.About the SpeakerMikhail KhovanovColumbia UniversityMikhail Khovanov is a recognized leader of the “categorification” program, which plays an important role in modern mathematics and physics.Khovanov received his Ph.D. in 1997 under the superv...
SpeakerMy research subjects contain complex algebraic-analytic geometry, complex hyperbolicity, non-abelian Hodge theories in both Archimedean and non-Archimedean settings, Nevanlinna theory, and the interplay among them. My current interest is harmonic mapping to Euclidean buildings, linear Shafarevich conjecture, hyperbolicity of algebraic varieties via representation of fundamental groups.Co...