Number Theory Seminar
The refined class number formula for Drinfeld modules
Speaker: Daniel Martínez Marqués (UAM)Date: Thursday, 15 January 2026 - 12:30Place: Aula 420, Departamento de Matemáticas, UAM
Abstract:
In 2012, Taelman proved an analogue of the analytic class number formula for Drinfeld modules. In joint work with María Inés de Frutos Fernández and Daniel Macías Castillo, we state and prove an equivariant refinement of this formula, relating the special L-value defined in a Whitehead group with the refined Euler characteristic of a complex constructed from the Drinfeld exponential.
In this talk, we will review Taelman's work and discuss the formulation of the refined formula, commenting on how we circumvent the difficulties arising in noncommutative settings.
