# School and Conference on Noncommutative Geometry

### Villa de Leyva, Colombia, June 20 to July 1, 2016

Noncommutative Geometry is a growing and active field whose roots and branches intertwine with various areas of mathematics and physics. The school and conference on Noncommutative Geometry, *Noncommutative Geometry 2016*, aims at introducing advanced students and young researchers to various results and techniques from noncommutative geometry giving special attention to those which play a key role in applications. The lectures 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 themes.

#### Lecture Series:

Walter van Suijlekom (Radboud University Nijmegen)

*Noncommutative geometry and particle physics*

Farzad Fathizadeh (California Institute of Technology)

*Heat kernel methods and local geometric invariants* *of noncommutative spaces*

Özgür Ceyhan (University of Luxembourg)

*Feynman integrals, associated arrangements and their motives*

Gunther Cornelissen (Utrecht University)

*Zeta functions in number theory and differential geometry in the light of noncommutative geometry*

Bram Mesland (Leibniz Universität Hannover)

*A categorical approach to spectral triples and KK-theory*

#### Mini Courses:

Carolina Neira (Universidad Nacional de Colombia)

*Hochschild cohomology and residues*

Mario Velásquez (Pontificia Universidad Javeriana)

*Elements of K-theory*

Andrés Reyes (Universidad de los Andes)

*Basics of quantum field theory*

Leonardo Cano (Universidad Sergio Arboleda)

*Characteristic classes *

Andrés Vargas (Pontificia Universidad Javeriana)

*Spin manifolds and Dirac operators*

Alexander Cardona (Universidad de los Andes)

*Index theorems*

**Scientific committee:**

Matilde Marcolli (California Institute of Technology)

Özgür Ceyhan (University of Luxembourg)

**Organising committee:**

Jorge Plazas (Pontificia Universidad Javeriana)

Mario Velásquez (Pontificia Universidad Javeriana)

Fernando Novoa (Pontificia Universidad Javeriana)

Diana Guevara (Pontificia Universidad Javeriana)