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. 

Administrative and scientific coordinators

Sergio IGURI (Universidad de Buenos Aires,
, )
Estanislao HERSCOVICH (Institut Fourier, Université Grenoble Alpes ,
, )

Scientific program

Course 1: "Vertex Algebras and their modules", Carina BOYALLIAN (Centro de Investigación de Matemática de Córdoba, Universidad Nacional de Córdoba, Argentina)

Course 2: "Calabi-Yau manifolds and Landau-Ginzburg models", Alessandro CHIODO (Institut de Mathématiques de Jussieu, UPMC Sorbonne Universités, Paris 6, France)

Course 3: "String compactifications and fluxes", Mariana GRAÑA (Institut de Physique Théorique, CEA/Saclay, France)

Course 4: "Representations of infinite dimensional Lie algebras", Vyacheslav FUTORNY (Instituto de Matemática e Estatística, Universidade de São Paulo, Brazil)

Course 5: "Quantum field theory on curved spacetimes (after R. Borcherds)", Estanislao HERSCOVICH (Institut Fourier, Université Grenoble Alpes, France)

Course 6: "Generalized geometry and supersymmetric spaces", Dan WALDRAM (Imperial College, London, United Kingdom)

Website of the school

How to participate

For registration and application to a CIMPA financial support, follow the instructions given here

Deadline for registration and application:  July 14, 2019.