Moduli of Curves

Location

GUANAJUATO
,
Mexico

Dates

to

Presentation

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
,
lebp@cimat.mx
)
Claire Voisin (UPMC,
France
,
voisin@math.jussieu.fr
)

Scientific program

Course 1: "Algebraic Curves and their moduli spaces", Edoardo Sernesi (Università di Roma Tre, Italy) and Gavril Farkas (Humboldt Universität zu Berlin, Germany)

Course 2: "Higher dimensional varieties and their moduli spaces", Oliver Debarre (École Normale Supérieure, France) and Paulo Cascini (Imperial College, London, England)

Course 3: "Geometric Invariant Theory and Bridgeland stability", Radu Laza (Stony Brook University, USA) and Emanuele Macri (Northeastern University, USA)

Course 4: "Minimal Model Program/Birational geometry and Topology of Mg", Carolina Araujo (IMPA, Brazil) and Samuel Grushevsky (Stony Brook University USA)

Course 5: "Tropical geometry and applications to moduli and degenerations", Lucia Caporaso (Università di Roma Tre, Italy)

Website of the school

http://archive.schools.cimpa.info/archivesecoles/20160923151906/index.html

How to participate