Universality for groups

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• Melanie Matchett Wood (Harvard)
• Thursday 11 May 2023, 12:15-13:15
• Bristol Myers-Squibb lecture theatre Department of Chemistry, Lensfield Rd, Cambridge, CB2 1EW.

If you have a question about this talk, please contact Sarah Jefferys.

The Central Limit Theorem is an example of the ubiquitous, yet still surprising, phenomenon in probability that many independent random inputs often combine to give an output insensitive to the input distributions

We will explore how this phenomenon plays out in the construction of random abelian groups from random integral matrices. As an example we will see the probability, as n tends to infinity, that a random linear map Z ^{→ Z}n is surjective.

(This talk includes joint work with Hoi Nguyen.)

This talk is part of the Rouse Ball Lectures series.

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