The Hausdorff committee unanimously recommended that the 5th Hausdorff Medal 2022 be awarded to David Aspero (University of East Anglia) and Ralf Schindler (University of Münster). The ceremony took place at the European Set Theory Conference in Turin on 29 August 2022.
The medal was awarded for their positive solution to the long standing conjecture. Their proof showed that MM++, a strong form of Martin’s Maximum, implies Woodin’s Axiom (*). This result amalgamates two approaches to understanding the theory of sets of size less than the second uncountable cardinal. The outcome shows that determinacy approaches are intimately connected with those of forcing axioms, and unifies our two most important ways of thinking about sets in this area.
The committee therefore cited the following paper for its fundamental contribution:
– David Asperó and Ralf Schindler: Martin’s Maximum++ implies Woodin’s Axiom (*), Annals of Mathematics 193 (3) (2021), pp. 793-835.
Philip Welch, President of the European Set Theory Society
The ceremony on 29th August, 2022 included a laudatio by Grigor Sargsyan and talks by the medal winners:
– Video of the ceremony
– Slides of Ralf Schindler’s talk
– Slides of David Aspero’s talk
The Hausdorff medal was designed by Maria Clara Cortés, professor at the Universidad Nacional de Colombia.