Noncommutative geometry is an extension of the usual differential geometry that emerged, at the end of the twentieth century, adapting tools of functional analysis and spectral geometry to the description of algebraic objects such as those commonly used in quantum physics: non-commutative algebras. The purpose of the School and Conference on Non-Commutative Geometry and Geometric Analysis is to put graduate students and researchers (in physics and mathematics) in contact with the latest developments in this area of ​​research in two different ways: through specialized courses (the first week) and through a series of research conferences (the second week) in which recent results of these techniques in different areas will be presented. This meeting is partially funded by the National Science Foundation of the United States.

The School and Conference will take place in Villa de Leyva, from December 5 to 16, 2022; a total of 12 days during which the lecturers (leaders in their own areas) will give mini-courses and the invited researchers will give specialized talks on their fields of expertise for students at the masters and PhD levels. The length of each course will range from 5 to 7 hours and they will serve as introductions to active areas of research these days. Due to the fact that the village of Villa de Leyva is small enough, there has been plenty of scientific interaction between professors and participants in the past. We expect the same to happen in this forthcoming opportunity.