Class Field Theory for Curves over Local Fields

• Grant number: 11/14154-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2012
• End date: July 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo Tengan
• Grantee: Tiago Jardim da Fonseca
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project, we propose to study Bloch's and Kato's Class Field Theory. More specifically, we study the papers of Bloch and Saito describing the abelianized fundamental group (i.e. the Galois group of the maximum unramified abelian extension of the function field of X) of a nonsingular projective curve X over a local field.