NONCOMMUTATIVE GEOMETRY AND POISSON GEOMETRY AROUND GROUPOIDS

School and Conference

Villa de Leyva, Colombia, June 26 to July 6, 2018

Noncommutative Geometry and Poisson Geometry are two of the most active fields in contemporary geometry, both having roots and branches which intertwine with various areas of mathematics and physics. With various common questions, addressed with different perspectives and sets of tools, these two fields have many meeting points which help enrich the understanding of the problems addressed by each. In both areas Groupoids play a central role and the versatilely of these objects has left an imprint in many of their key results.

The school and conference Noncommutative geometry and Poisson geometry around groupoids aims at introducing advanced students and young researchers to various results and techniques from noncommutative geometry and Poisson geometry giving special attention to the role played by groupoids in key constructions and applications. The lecture series will focus on some of the main themes lying at the core of the current developments of the theory while the mini courses will provide both background and context for those.

Lecture Series:

Eli Hawkins (University of York, UK)
Geometric Quantization and Groupoids

Xiang Tang (Washington University in St. Louis, USA)
Introduction to the Atiyah-Singer Index theorem

Elmar Wagner (Universidad Michoacana de San Nicolás de Hidalgo, Mexico)
Noncommutative differential geometry on quantum homogeneous spaces

Ivan Struchiner (Universidade de São Paulo, Brazil)
Lie algebroids, Lie groupoids and applications to some moduli problems for G-structures

Bas Janssens (Technische Universiteit Delft, The Netherlands)
Central extensions of infinite dimensional Lie groups

Mini Courses:

Eddy Pariguán (Pontificia Universidad Javeriana)
An introduction to quantization through combinatorics

Mario Velásquez (Pontificia Universidad Javeriana)
Equivariant K-theory

Camilo Rengifo (Universidad de la Sabana)
Lie algebroids and characteristic classes

Alfonso Leyva (Pontificia Universidad Javeriana)
Quantum field theory basics

Andrés Vargas (Pontificia Universidad Javeriana)
Spin structures and Dirac operators

 

 

Scientific committee:
Henrique Bursztyn (Instituto Nacional de Matematica Pura e Aplicada IMPA)
Camilo Arias Abad (Universidad Nacional de Colombia, sede Medellín)

Organising committee:
Jorge Plazas (Pontificia Universidad Javeriana)
Nicolas Martinez Alba (Universidad Nacional de Colombia, sede Bogotá)
Ivan Struchiner (Universidade de São Paulo)

Escuelas de verano en física matemática Pontificia Universidad Javeriana

escudoujaveriana