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Moduli of Curves

English Version

CIMPA-ICTP-MEXICO research school

Research School co-sponsored with ICTP

Guanajuato, February 22 - March 4, 2016

Report by Leticia Brambila-Paz
Report by Alain Damlamian

This school is an introduction to subjects of current interest related to moduli, a fundamental aspect of algebraic geometry, with emphasis on moduli of curves. The propose of this school is to introduce young mathematicians to the foundations of the theory, some of its major developments and tools used for its study and also a few glimpses on some more advanced topics. Each course will start with classical material and will take the audience to the frontier of research in the subject. Considering the wide range of topics to be covered, the School will be directed at students and researchers in mathematics and physics interested in the subject.

Administrative and scientific coordinators

- Leticia Brambila Paz, CIMAT, Mexico,
- Claire Voisin, UPMC, France,

Scientific Committee

Leticia Brambila-Paz (CIMAT, Mexico)
Ciro Ciliberto (Universita di Roma 2, Italy)
Edoardo Esteves (IMPA, Brazil)
Margarida Melo (University of Coimbra, Portugal,Universita di Roma Tre, Italy)
Claire Voisin (CNRS, ´Ecole Polytechnique, France)

Local Organizing Committee

Leticia Brambila-Paz (CIMAT, Gto.)
Abel Castorena (CCM, Morelia)
Osbaldo Mata (UAG, Guadalajara)
Claudia Reynoso (DEMAT, Gto.)
Hugo Torres (CIMAT, Gto.)
Víctor Bautista-Ancona (Universidad Autónoma de Yucatán)

Scientific Program

The courses will be in english.

1-. Algebraic Curves and their moduli spaces.

First week : Edoardo Sernesi (Università di Roma Tre, Italy, Italy),

Second week : Gavril Farkas (Humboldt Universität zu Berlin, Germany)

2 -. Higher dimensional varieties and their moduli spaces.

First week : Oliver Debarre, École Normale Supérieure, France,

Second week : Paulo Cascini, Imperial College, London, England.

3 -. Geometric Invariant Theory and Bridgeland stability.

First week : Radu Laza (Stony Brook University USA),

Second week : Emanuele Macri, (Northeastern University, USA)

4 -. Minimal Model Program/Birational geometry and Topology of Mg.

First week : Carolina Araujo, (IMPA, Brazil),

Second week : Samuel Grushevsky, (Stony Brook University USA)

5 -. Tropical geometry and applications to moduli and degenerations.

Second week : Lucia Caporaso, (Università di Roma Tre, Italy.)

Deadline for registration : October 25, 2015

Application procedure only for applicants not from Mexico.

Applicants from Mexico must register via local web site :

Voir en ligne : Local web site