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Algebra and Geometry Seminar

Monday, April 9, 2018
4:00pm to 5:00pm
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Building 15, Room 104
Curved complexes, Khovanov-Rozans​ky homology, and Hilbert schemes
Matthew Hogancamp, Department of Mathematics, USC,
I will discuss recent joint work with Eugene Gorsky in which we construct a deformation (which we dub ``y-ification''​) of the triply graded Khovanov-Rozans​ky link homology. Astonishingly, y-ification appears to restore the missing q—> tq^{-1} symmetry of Khovanov-Rozans​ky homology for links, though this remains conjecture. I will spend some time discussing our main result, which relates KR homology (both y-ified and the original) to the Hilbert scheme of points in C^2. This is a first step toward a proof of the conjectures of Gorsky-Neguţ-R​asmussen.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].