Geometric representation theory and p-adic geometry
Abstract
We discuss the number theoretic origins of the Langlands program, its geometrization and categorification over function fields, and more recently over p-adic fields by Fargues–Scholze. We conclude by describing some of our own contributions to the emerging field and possible future directions.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Scientific Repository of Open Access of Portugal (RCAAP)
- Publication date
- 12 January 2026
- Language
- PT