Geometric, algebraic and topological methods for quantum field theory

Location

VILLA DE LEYVA
,
Colombia

Dates

to

Presentation

This school, with some 50 odd expected participants, aims at introducing master or Phd students and post docs from Colombia or nearby South American countries, to active topics of research lying at the threshhold between theoretical physics and mathematics.

It runs over three weeks, so as to encourage interactions between the speakers and participants, enabling them to set up long term scientific interactions.

The specificity of this school is twofold. Firstly, like the ones which preceded it, its interdisciplinary feature which mixes mathematics and physics, makes it a priviliged setup for interactions between the two communities, a rare enough feature for it to also be appreciated by speakers. Secondly, another specificity is the active involvement of the participants who are asked throughout the school to prepare talks on specific points of certain lectures. They are thus actively involved in a learning process during the school.

Administrative and scientific coordinators

Alexander Cardona (Universidad de los Andes,
Colombia
, )
Sylvie Paycha (Université Blaise Pascal,
France
, )

Scientific program

Course 1: "Chern classes of singular varieties, graph hypersurfaces and Feynman integrals", Paolo Aluffi (Florida State University, USA)

Course 2: "Noncommutative spacetimes and quantum physics", A.P. Balachandran (Syracuse University, New York, USA)

Course 3: "Index theory and geometric quantization of non-compact manifolds", Maxim Braverman (Northeastern University, Boston, USA)

Course 4: "Supergeometry and applications to Poisson geometry", Alberto Cattaneo (Universität Zürich, Switzerland)

Course 5: "Compactifications of string theory and generalized geometry", Mariana Graña (Institut de Physique Théorique CEA-Saclay, France)

Course 6: "Spectral Geometry", Bruno Iochum (Centre de Physique Théorique, Marseille, France)

Course 7: "Noncommutative geometry models in particle physics and cosmology", Matilde Marcolli (California Institute of Technology, Pasadena, USA)

Course 8: "Expansions: A loosely tied traverse from Feynman diagrams to quantum algebra", Dror Bar Natan (University of Toronto, Canada)

Course 9: "Integrability and the AdS/CFT correspondence", Matthias Staudacher (Humboldt Universität zu Berlin, Germany)

Course 10: " Introductory lectures on Chern-Simons theories in physics", Jorge Zanelli (Centro de Estudios Científicos, Valdivia, Chile)

Website of the school

How to participate