The Langlands program, pictured as a sea monster (Photo credit: V. Lafforgue)

This workshop will focus on the recent proof of the global unramified geometric Langlands conjecture as well as potential future developments in this field.

The perfectoid infinite level modular curve

This workshop will focus on geometric Sen theory, its connections to the p-adic Simpson correspondence, and applications to modularity. In addition to three mini-courses, the workshop will feature research talks on related recent developments in p-adic Hodge theory and p-adic geometry.