Tobias Barthel - x,
Tomer Schlank,
Nathaniel Stapleton,
and Jared Weinstein
Original Announcement
This workshop will be devoted to interactions between $p$-adic geometry and chromatic homotopy theory. In particular, we will focus on the use of period maps and perfectoid methods to study the moduli stack of formal groups. We hope to use these methods to further our understanding of chromatic and transchromatic phenomena in stable homotopy and to see how the chromatic picture motivates and hints at possible novel results in $p$-adic geometry.
The main topics of the workshop are:
The p-adic geometry of the moduli stack of formal groups and its role in chromatic homotopy theory.
Perfectoid methods in p-adic geometry.
Period maps and generalized Rappaport--Zink spaces.