Algebraic and Geometrical Methods in String Theory

For more than forty years, string theory has been able to impact in the development of several fields of mathematics. K- theory, algebraic and differential geometry, topology, infinite dimensional analysis, representation theory and derived categories, to mention a few, have been profoundly influenced by “stringy” ideas such as mirror symmetry, conformal field theory, D-branes and quantum cohomology. The main goal of this CIMPA Research School is to provide an introduction to many of these mathematical subjects as well as some background on string theory. The courses will not only provide the basic material but also some of the current research trends in the respective fields. The school is specially addressed to graduate and undergraduate students, both in mathematics and physics, but also to young researchers attracted by possible interactions with the topics previously described.