Department of Mathematics

Geometry and Topology

  •  Louis-Hadrien Robert, University of Luxembourg
  •  Two categorifications of Alexander and a spectral sequence
  •  04/12/2022
  •  2:00 PM - 3:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Honghao Gao (gaohongh@msu.edu)

I will start with an overview of the zoology of link homology. Then I will explain how to (non-trivially) categorify 1 via the so-called gl(1)-homology. I will use This homology theory to exhibit a new categorification of the Alexander polynomial. In time allows, I'll relate this to Heegaard--Floer homology and explain how this proves Dunfield--Gukov--Rasmussen's conjecture. In progress and joint with Anna Beliakova, Krzysztof Putyra and Emmanuel Wagner.

 

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