Back to Departmental Colloquium: Spring 2025
Departmental Colloquium
Date: Tuesday, Jan 7, 2025
Time: 4:00PM - 5:00PM
Location: JWB 335
Special Colloquium
Title |
Poincaré Duality in p-adic Analytic Geometry |
Abstract |
Rigid-analytic spaces are geometric objects described by convergent power series over the field of p-adic numbers Q_p. Just as complex-analytic spaces provide a robust framework for analytic geometry over C, rigid-analytic spaces offer a natural setting for analytic geometry over Q_p. In this talk, I will give a gentle introduction to the theory of rigid-analytic spaces and then discuss a version of Poincaré Duality for these spaces, as conjectured by Peter Scholze in 2012. |
Commutative Algebra
Number Theory