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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Darij Grinberg (Drexel)\n\nTitle: Noncommutative Bir
ational rowmotion on Rectangles\n\nAbstract:\n\nBirational rowmotion is a (
partial) map defined for any field and any finite poset\, generalizing some
combinatorial and geometric constructions. \n\nSince 2015\, it is known th
at for a rectangular poset of the form $[p] \times [q]$\, this map is perio
dic with period $p+q$. (This result\, as has been observed by Max Glick\, i
s equivalent to Zamolodchikov's periodicity conjecture in type AA\, proved
by Volkov.) In this talk\, I will outline a proof (joint work with Tom Rob
y) of a noncommutative generalization of this result. \n\nThe generalizatio
n does not quite extend to the full generality one could hope for -- it cov
ers noncommutative rings\, but not semirings\; however\, the proof is novel
and simpler than the original commutative one. Extending this to semirings
and to other posets gives rise to some interesting problems (work in progr
ess).
DTEND:20221214T221500Z
DTSTAMP:20230926T222614Z
DTSTART:20221214T211500Z
LOCATION:MIT-Math Dept.\, /Room 2-132
SEQUENCE:0
SUMMARY:MIT-Harvard-MSR Combinatorics Seminar
UID:tag:localist.com\,2008:EventInstance_41846736483716
URL:https://calendar.mit.edu/event/mit-harvard-msr_combinatorics_seminar_cr
ibb
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