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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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