Friday, March 18, 201610:00 amSet theory seminarGC 6417

# wPFA

## Ralf Schindler

### University of Münster

We isolate a new forcing axiom, ${\rm wPFA}$, which is strictly between ${\rm BPFA}$ and ${\rm PFA}$. ${\rm wPFA}$ is equiconsistent with a remarkable cardinal, it implies the failure of $\square_{\omega_1}$, but it is compatible with $\square_\kappa$ for all $\kappa \geq \omega_2$. This is part of joint work with J. Bagaria and V. Gitman.

Ralf Schindler is a professor at the University of Münster. He earned his PhD in 1996 at the University of Bonn and Habilitation in 2001 at Humboldt University of Berlin. He has also held research and teaching positions at UC Berkeley, University of Bonn, and University of Barcelona among others. His research interests include inner model theory, large cardinals, and forcing.