configurations containing 4-term arithmetic progressions are uncommon
- đ¤ Speaker: Leo Versteegen (Cambridge)
- đ Date & Time: Thursday 10 February 2022, 16:00 - 17:00
- đ Venue: CMS MR5
Abstract
A linear configuration is called common (in $\mathbb{F}_pn$) if every 2-coloring of $\mathbb{F}_pn$ yields at least the number of monochromatic instances of a randomly chosen coloring. Saad and Wolf asked whether, analogously to a result by Thomason in graph theory, every configuration containing a 4-term arithmetic progression is uncommon. I will sketch a proof confirming that this is the case and discuss some of the difficulties in finding a full characterisation of common configurations
Series This talk is part of the Combinatorics Seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- CMS MR5
- Combinatorics Seminar
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- School of Physical Sciences
Note: Ex-directory lists are not shown.
![[Talks.cam]](/static/images/talkslogosmall.gif)

Leo Versteegen (Cambridge)
Thursday 10 February 2022, 16:00-17:00