University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > High-girth Steiner triple systems

High-girth Steiner triple systems

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If you have a question about this talk, please contact Eoin Long.

In this talk I’ll discuss our recent resolution of a conjecture due to ErdÅ‘s on the existence of Steiner triple systems with arbitrarily high girth. I’ll start by giving a brief overview of random greedy processes and the method of iterative absorption, and discussing the relevant challenges in the high-girth setting. Then, I’ll outline some ideas that help overcome these challenges, related to sparsification, efficient absorption, and “retrospective” analysis of random processes. This is joint work with Ashwin Sah, Mehtaab Sawhney, and Michael Simkin.

This talk is part of the Combinatorics and Probability Seminar series.

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