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DTSTART:20170101T000000
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DTSTART;TZID=UTC:20180417T163000
DTEND;TZID=UTC:20180417T173000
DTSTAMP:20211006T205953Z
CREATED:20211006T205953Z
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UID:20140-1523982600-1523986200@www.ashoka.edu.in
SUMMARY:Homogeneous length functions on Groups: A polymath adventure
DESCRIPTION:Abstract: Terence Tao posted on his blog a question of Apoorva Khare\, asking whether the free group on two generators has a length function l:F_2→R (i.e.\, a function satisfying the triangle in-equality) which is homogeneous\, i.e.\, such that l(gn)=nl(g)l(gn)=nl(g). A week later\, the problem was solved by an active collaboration of several mathematicians (with a little help from a comput-er) through Tao’s blog. In fact a more general result was obtained\, namely that any homogeneous length function on a group G factors through its abelianization G/[G\,G]. I will discuss the proof of this result and also the process of discovery (in which I had a minor role).
URL:https://www.ashoka.edu.in/event/homogeneous-length-functions-on-groups-a-polymath-adventure/
CATEGORIES:Offline
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