Number Theory Seminar
THESIS PRE-DEFENSE -- On equivariant special L-values of t-modules
Speaker: Daniel Martínez Marqués (ICMAT-UAM)Date: Friday, 31 July 2026 - 12:00Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
In 2012, Lenny Taelman proved an analogue of the analytic class number formula for Drinfeld modules. In this thesis, we state and prove an equivariant refinement of this formula for Anderson t-modules, relating the special L-value defined in a Whitehead group with the refined Euler characteristic of a complex constructed from the exponential associated to every t-module. We also derive a result about the Galois structure of the Taelman class module. The approach is based on previous joint work with María Inés de Frutos Fernández and Daniel Macías Castillo for Drinfeld modules.
