V IST COURSES ON ALGEBRAIC GEOMETRY

COMPACTIFICATIONS OF JACOBIANS

INSTITUTO SUPERIOR TÉCNICO, LISBON, PORTUGAL

February, 1-4, 2010

Lecturers:
Lucia Caporaso (Università di Roma III, Italia) and
Eduardo Esteves (IMPA, Brasil)
1-4 February, 2010
First Session: Monday, Feb 1, 14h00.

Abstract of the Course: Jacobians play a major role in the theory of smooth algebraic curves. For singular curves their analogues are not compact. We will present the theory of compactifications of Jacobians of singular curves, concentrating on nodal curves. Topics covered are: construction of compactifications, theta divisors, Abel maps, Brill-Noether theory and Torelli theorem.

This course is the fifth of a series of courses aimed at graduate students and researchers in the area of algebraic geometry and researchers of other areas (previous courses )

Organization:
Margarida Mendes Lopes

Sponsors:
FCT — Fundação para a Ciência e Tecnologia - Projecto PTDC/MAT/099275/2008
IST — Instituto Superior Técnico
CAMGSD — Centro de Análise Matemática, Geometria e Sistemas Dinâmicos