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Tim Burness: An invitation to probabilistic group theory

This talk will be accessible to all students with a solid understanding of first year group theory.

Many problems in mathematics involve determining the existence (or otherwise) of an element (or elements) in a set with special properties. In some cases, existence may be established through a direct construction, but this can often turn out to be very difficult. Non-constructive methods are designed to overcome these difficulties, often leading to short and elegant proofs. 

 

In this talk, we will introduce a special type of non-constructive method, where we seek to establish existence by showing that a randomly chosen element has the desired property with positive probability. Over the last 50 years, these methods have been applied very effectively in several different areas, including combinatorics and number theory, opening up exciting new directions for research. Here we focus on their application in a group theory setting, which will take us from the gambling dens of 18th century Paris to recent breakthroughs at the research frontier. 

Venue/Timing

Venue : Fry Building G.09

Type: Alcohol Free Events, Free

Start Date: Tuesday 18-03-2025 - 18:30

End date: Tuesday 18-03-2025 - 19:30

Location

Contact Details

Will Cooke

ot22566@bristol.ac.uk

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