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PRODID:-//Department of Mathematics - ECPv4.4.4//NONSGML v1.0//EN
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X-WR-CALNAME:Department of Mathematics
X-ORIGINAL-URL:http://math.unc.edu
X-WR-CALDESC:Events for Department of Mathematics
BEGIN:VEVENT
DTSTART;TZID=UTC+0:20170330T153000
DTEND;TZID=UTC+0:20170330T163000
DTSTAMP:20170330T144358
CREATED:20170216T205138Z
LAST-MODIFIED:20170224T200518Z
UID:3034-1490887800-1490891400@math.unc.edu
SUMMARY:Mikhail Khovanov (Columbia University)\, Brauer Lectures
DESCRIPTION:Lecture 2 Title: Categorifications of quantum link invariants\n\n \n\nAbstract: The Jones polynomial has many generalizations\, including the two-variable HOMFLYPT polynomial. We will review approaches to the categorification of the HOMFLYPT polynomial and its specializations. Several new ideas proved crucial\, including evaluating foams (two-complexes embedded in 3-space) via systems of Frobenius algebras that come from cohomology rings of flag varieties and constructing functorial tangle invariants via matrix factorizations. Matrix factorizations are generalized complexes with the square of the differential equal to the multiplication by a polynomial. The resulting structures have been related to many canonical objects in representation theory and algebraic geometry.
URL:http://math.unc.edu/event/mikhail-khovanov-columbia-university-brauer-lectures-2/
CATEGORIES:Brauer Lectures,Featured Event
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