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DTSTAMP:20210209T210000Z
UID:1612536445532@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210209T210000Z
DTEND:20210209T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Colloquium\n
\n
Jordan Ellenberg, University of
Wisconsin-Madison, will be speaking.\n
\n
The presentation
is titled "Beyond rank."\n
\n
Contact
Aaron D Levin for more information.\n
\n
The
notion of the rank of a matrix is one of the
most fundamental in linear algebra. The analogues
of this notion in multilinear algebra -
e.g., what is the "rank" of an m x n x p array
of numbers? - are much less well-understood,
and are often thought of as of niche interest.
At least, that's how I was brought up to
think of them, until Terry Tao explained to
me that the resolution of the cap set conjecture
by Croot, Lev, Pach, Gijswijt and myself
really made use of these ideas! In fact, these
notions are of great current interest in a
wide range of mathematical subjects at the moment!
Issues about "higher rank" arise in complexity
theory, data science, geometric combinatorics,
additive number theory, quantum mechanics,
and commutative algebra - I will manage
to say something about some to-be-specified
proper subset of these topics, and am happy
to chat afterwards about the others.\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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