Indo European Collaboration on Moduli Spaces

Acronym: MODULI.

Scientist in charge: Oscar Garcia Prada

Project Reference: 612534

Start Date: 2014-01-01

End Date: 2017-12-31

Project website: https://www.icmat.es/projects/irsesmoduli/home.xhtml

Abstract:

This project is concerned with a joint Indo-European research programme on the field of moduli spaces. Moduli spaces are basic and central objects that emerge in the most natural classification problems in geometry. Their importance has been emphasized over the years due to the relation of these spaces with areas of mathematics so diverse as algebraic geometry, differential geometry, topology, arithmetic geometry, algebra, global analysis and, perhaps more surprisingly, with theoretical physics. The programme is centred on the following three areas of this field:

  1. moduli spaces and geometric structures.
  2. moduli spaces and physics.
  3. moduli spaces and arithmetic geometry.

There are four European partners involved: Instituto de Ciencias Matemáticas (ICMAT-CSIC, Spain), University of Oxford (UK), Centre National de la Recherche Scientifique (CNRS, France) and Aarhus Universitet (Denmark), and four Indian partners: Tata Institute for Fundamental Research (Mumbai), Chennai Mathematical Institute (Chennai), Institute of Mathematical Sciences (Chennai) and Indian Institute of Science (Bengaluru).

The partners have strong overlap of interests and complementary expertise. The main objective of this programme is to establish new collaborations and reinforce existing collaborations inside Europe and between Europe and India in the field of moduli spaces, as well as training young researches. This will be done through the exchange of both experienced and early stage researchers, and the organization of conferences, specialized workshops and schools.

 

Bandera UE

This project has received funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration under grant agreement No 612534.

 

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