Geometric, Algebraic and Topological Methods in Quantum Field Theory






This school, whose topics lie at the threshold of geometry, topology, algebra and quantum field theory, is the eleventh of a series of summer schools organized in Colombia every other year since July 1999. It is addressed to both physicists and mathematicians with a master’s level in either of the fields and offers courses on the following topics:

  • Asymptotic symmetries and integrable systems in gravity, by M. Cárdenas,
  • Groupoids and stacks in generalized geometry, by M. Gualtieri,
  • Cobordism and K-theory in the string swampland, by O. Loaiza,
  • Perturbative quantum field theory, by K. Rejzner,
  • The topology of T-duality, by T. Schick.

Additional introductory courses will be offered that are meant to fill in specific knowledge gaps for students of one discipline mathematics or physics, in the other discipline.

Official language of the school: English

Administrative and scientific coordinators

Carolina Neira Jimenez (Universidad Nacional de Colombia,
, )
Sylvie Paycha (University of Potsdam,
, )

Scientific program

Course 1: "Asymptotic Symmetries and Integrable Systems in Gravity ", Marcela Cárdenas Lisperguer (Universidad de Santiago de Chile)

Course 2: "Groupoids and Stacks in Generalized Geometry", Marco Gualtieri (University of Toronto, Canada)

Course 3: "Cobordism and K-theory in the String Swampland", Oscar Loaiza Brito (Universidad de Guanajuato, Mexico)

Course 4: "Perturbative Quantum Field Theory", Kasia Rejzner (University of York, UK)

Course 5: "The Topology of T-duality", Thomas Schick (University of Göttingen, Germany)

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: May 15, 2023

Deadline for registration and application: May 15, 2023