MATH-AmSud Project GV-BCEF
The geometry of varieties
Group actions, symmetries, moduli and beyond
Outline of the project
Geometry has evolved from the axiomatic approach of the ancient mathematicians to the modern study of complex and real spaces. Although this branch of Mathematics is commonly considered as a pure area, it has many applications in cryptography, coding theory, physics, differential equations, chemistry, among other areas. The scientific goal of this project is to understand of the geometry and symmetries of special algebraic varieties, in their many guises.
More concretely, this project intends to create new networks involving senior and young researchers and students, to strengthen collaboration and to create joint research in geometry and related topics by means of research activities and supporting the mobility of students and researchers in Chile, Brazil, Ecuador and France.
Activities
Research areas
Riemann surfaces and their automorphisms
Algebraic curves in positive characteristic
Complex and arithmetical properties of rational maps
Moduli spaces of sheaves
Complex abelian varieties and Jacobians
Qualitative study and analysis of partial differential equations
Periods
Geometry of moduli spaces of vector bundles over curves
Algebraic groups in arithmetic, algebra and geometry
The Riemann-Hilbert problem
Prym-Tyurin varieties
Principal Participating Institutions and Senior Researchers
BRASIL
Universidade Estadual de Campinas
Marcos Benevenuto Jardim
Pietro Speziali
Saeed Tafazolian*
CHILE
Universidad de Chile
Robert Auffarth
Giancarlo Lucchini Arteche
Sebastián Reyes-Carocca*
Anita M. Rojas
ECUADOR
Universidad de Las Américas
Oscar Jarrín*
Oscar Lasso Andino
FRANCE
Université de Côte d'Azur
Arnaud Beauville
Sorin Dumitrescu
Andreas Höring
Christian Pauly*
Carlos Simpson
* Local coordinator
Other Participating Institutions and Senior Researchers
ECUADOR
Universidad Central del Ecuador
Yasmina Atarihuana
Juan Carlos García
ECUADOR
Escuela Politécnica Nacional
Manuel Cortez Estrella
Miguel Yangari Sosa
ECUADOR
Universidad Técnica de Yachay
Juan Mayorga-Zambrano
ECUADOR
Universidad San Francisco de Quito
Nicola di Teodoro