Algebraic, Categorical and Geometric Methods in Physics

In concise terms, the subjects in which we are involved are basically the following:

  • algebra-valued gauge theories;
  • obstruction theory of (algebra-valued) gauge theories;
  • dualities between (algebra-valued) gauge theories;
  • extensions of (algebra-valued) gauge theories
  • emergence phenomena between Lagrangian field theories;
  • geometric regularity theory in structured manifolds and others smooth spaces;
  • categorification in (algebra-valued) gauge theory;
  • categorification of algebraic objects and of standard results for them;
  • axiomatization of certain classes of astrophysical systems to get general results for them.

For more information, please see our website

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Algebraic, Categorical and Geometric Methods in Physics

We are a Brazilian research group on Mathematical-Physics and Categorification, mostly at Department of Mathematics of Universidade Federal de Minas Gerais (UFMG), Brazil. We are mainly interested in:

  1. mathematical aspects of classical and quantum field theories, specially those involving categorical stuffs and gauge theory,
  2. supergeometry and supersymmetric field theories; 
  3. the axiomatization problem of astrophysics
  4. using categorical language in order to unify and abstract things in classical algebra and differential geometry.

For more information, please see our website

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Curated by:
Math-Phys-Group
Curation policy:
Not specified
Created:
February 16, 2020
Harvesting API:
OAI-PMH Interface

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