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CATEGORIES:Lectures & Presentations
DESCRIPTION:Algebra Seminar | Oct. 18\n\nThe Mathematics Department Algebra
Seminar features Aaron Nicely\, Ohio University\, discussing "Skew Left Br
aces and the Yang-Baxter Equation"on Oct. 18\, at 1 p.m. via Zoom.\n\n \n\n
Zoom information:\n\nhttps://us06web.zoom.us/j/97235712165?pwd=OHFSL2lXVnVU
WU9pdUxRQlhkRG1oUT09Meeting ID: 972 3571 2165Passcode: 8nuxSQ \n\nAbstract:
Braces are generalizations of radical rings\, introduced by Rump to study
non-degenerate involutive set-theoretical solutions of the Yang–Baxter equa
tion. Skew braces were also recently introduced as a tool to study non-dege
nerate solutions that are not necessarily involutive. Skew braces appear in
many different contexts\, such as near-rings\, matched pairs of groups\, t
riply factorized groups\, bijective 1-cocycles\, and Hopf–Galois extensions
. In this seminar\, we will give a short introduction to braces and skew br
aces\, and we will present a paper by Lindsay Childs which gives a self-con
tained proof that a skew left brace yields a solution of the Yang-Baxter eq
uation.
DTEND:20221018T180000Z
DTSTAMP:20241123T103018Z
DTSTART:20221018T170000Z
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SUMMARY:Algebra Seminar | Skew Left Braces and the Yang-Baxter Equation\, O
ct. 18
UID:tag:localist.com\,2008:EventInstance_41252981825459
URL:https://calendar.ohio.edu/event/algebra_seminar_oct_18
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