Zusammenfassung für den Vortrag am 23.08.2022 (11:00 Uhr)

Colloquium of the Max Planck Institute

Lisa Sauermann (Massachusetts Institute of Technology, USA)
Anticoncentration in Ramsey graphs and a proof of the Erdös-McKay Conjecture
23.08.2022, 11:00 Uhr, MPI für Mathematik in den Naturwissenschaften Leipzig, E1 05 (Leibniz-Saal)

This talk will discuss recent joint work with Matthew Kwan, Ashwin Sah, and Mehtaab Sawhney, proving an old conjecture of Erdös and McKay (for which Erdős offered $100). This conjecture concerns Ramsey graphs, which are (roughly speaking) graphs without large complete or empty subgraphs. In order to prove the conjecture, we study edge-statistics in Ramsey graphs, i.e. we study the distribution of the number of edges in a random vertex subset of a Ramsey graph. After discussing some background on Ramsey graphs, the talk will explain our results and give an overview of our proof approach.

 

02.08.2022, 09:33