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Description: |
Knot Theory studies the classification of knots and links. Jones polynomial, introduced by Vaughan Jones in 1984, was one of the greatest breakthrough in this area, since it was the first polynomial knot invariant allowing to distinguish a knot from its mirror image. At the end of the past century, Mikhail Khovanov introduced Khovanov homology as a categorification of Jones polynomial. More precisely, this link invariant is a bigraded homology whose Euler characteristic is the Jones polynomial of a link. Even if it is conceptually simple, computing Khovanov homology becomes impractical when increasing the number of crossings of the diagram. This, together with the many things that need to be understood about its structure, contributed to the appearance of geometric realizations of Khovanov homology. In this talk we show an overview on this homological knot invariant and present some recent developments on its geometric realization.
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Date: |
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| Start Time: |
14:00 |
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Speaker: |
Marithania Silvero (Univ. Seville, Spain)
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Institution: |
University of Seville, Spain
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Place: |
Remote via https://videoconf-colibri.zoom.us/j/87677443142
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| Research Groups: |
-Geometry
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See more:
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