On July 17, 2018 I gave a talk at the 1st Girona conference on inner model theory in Girona.

*Long games and Woodin cardinals*

*Abstract:* Itay Neeman proved the determinacy of analytic games of
length $\omega \cdot \theta$ for countable $\theta > \omega$ from a
sharp for $\theta$ Woodin cardinals. We aim for a converse at
successor ordinals and show how to obtain $\omega+1$ Woodin cardinals
from the determinacy of analytic games of length $\omega \cdot
(\omega+1)$.

This is joint work with Juan P. Aguilera.

Notes for this talk are available here.