From ℵ2 to infinity

May 15 to May 19, 2023

at the

American Institute of Mathematics, San Jose, California

organized by

James Cummings, Itay Neeman, and Dima Sinapova

Original Announcement

This workshop is devoted to combinatorial problems about infinite cardinals. There are two types of infinite cardinals to investigate: successors of regular cardinals, most notably $\aleph_2$, and successors of singular cardinals, for example ${\aleph_{\omega+1}}_{\omega+1}$. The workshop will focus on combinatorial principles such as the tree property, stationary reflection and the effect of consequences on forcing axioms on cardinal arithmetic, in particular what implications they have on the continuum, and the singular cardinal hypothesis (SCH).

The main topics of the workshop are

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.