University of Birmingham > Talks@bham > Combinatorics and Probability seminar > Uncommon systems of equations

## Uncommon systems of equationsAdd to your list(s) Download to your calendar using vCal - Natasha Morrison, Victoria
- Tuesday 10 January 2023, 14:00-15:00
- LRB.
If you have a question about this talk, please contact Dr Richard Mycroft. A system of linear equations $L$ over $\mathbb{F}_q$ is \emph{common} if the number of monochromatic solutions to $L$ in any two-colouring of $\mathbb{F}_q In this talk I will discuss some recent progress towards a characterisation of common systems of two or more equations. In particular we prove that any system containing an arithmetic progression of length four is uncommon, confirming a conjecture of Saad and Wolf. This follows from a more general result which allows us to deduce the uncommonness of a general system from certain properties of one- or two-equation subsystems. This talk is part of the Combinatorics and Probability seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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