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X-WR-CALNAME:Centre for Mathematical Sciences
X-ORIGINAL-URL:https://math-sciences.org
X-WR-CALDESC:Events for Centre for Mathematical Sciences
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TZOFFSETFROM:+0000
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DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;TZID=UTC:20190515T130000
DTEND;TZID=UTC:20190515T140000
DTSTAMP:20210423T120953
CREATED:20190328T121714Z
LAST-MODIFIED:20190402T103328Z
UID:3493-1557925200-1557928800@math-sciences.org
SUMMARY:Hugh Morton (University of Liverpool)
DESCRIPTION:A skein-theoretic model for the double affine Hecke algebras\nWe will illustrate pictorially the use of ${\mathbb Z}[s^{\pm 1}\, q^{\pm 1}]$-linear combinations of braids in the thickened torus $T^{2}\times I$ to construct an algebra induced by composing $n$-string braids. \nWe will show\, with the help of pictures\, that this algebra satisfies the relations of the double affine Hecke algebra $\ddot{H}_{n}$\, which will be introduced algebraically. \nWe will finish with a rather speculative plan to include closed curves in our model in an attempt to incorporate earlier work with Peter Samuelson on the Homfly skein of $T^{2}$ into the setting of the algebras $\ddot{H}_{n}$. This is done with an eye on the elliptic Hall algebra and the work of Schiffman and Vasserot\, which we will discuss very briefly.
URL:https://math-sciences.org/event/hugh-morton/
LOCATION:Room 101\, 2-5 Kirkby Place\, Plymouth\, PL4 6DT\, United Kingdom
CATEGORIES:Pure Mathematics,Seminars
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