Stevo Todorcevic: A proof of Galvin’s Conjecture

Place: Fields Institute (Room 210)
Date: October 26, 2018 (13:30-15:00)
Speaker: Stevo Todorcevic
Title: A proof of Galvin’s Conjecture
Abstract: We prove that for every finite colouring of the set of unordered
pairs of real numbers there is a set of reals homeomorphic to the rationals whose pairs use no more than two colours. This solves a problem of F. Galvin from the 1970’s. The proof uses large cardinals. This is a joint work with Dilip Raghavan.

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