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4/5 Algebra and geometry of link homology

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Gorsky, Eugene

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4/5 Algebra and geometry of link homology
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39
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CC Attribution 3.0 Unported:
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Abstract
Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connections to the algebraic geometry of Hilbert schemes of points, affine Springer fibers and braid varieties.