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Graduate Student Combinatorics Seminar Sponsored by DIMACS

Matrix permanent and its norm

Location:  Hill Grad Student Lounge
Date & time: Wednesday, 21 September 2016 at 12:10PM -

Pat Devlin, Rutgers University

"Matrix permanent and its norm"

Time: 12:10 PM

Location: Hill Grad Student Lounge

Abstract: The permanent of a matrix is super important. It's a lot like the determinant except that the permanent is notoriously difficult to work with. So it's nice when you can say anything at all about the permanent.
In this talk, we (essentially) characterize the matrices whose permanents are large, and we show the outline of the proof. The main idea is to exploit a known formula relating the permanent to the expectation of a certain random variable, and then we just beat the thing to death via the magic of probability.
This is joint work with Ross Berkowitz, and time permitting I may get around to mentioning this fact.

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