Geometry, probability and their synergies (GPS)

The GPS project is about the two fundamental disciplines of geometry and probability, and how these subjects interact.

The project at a glance

Start date:

01 Jan 2019
Duration in months:

70
Funding:

FNR – Luxembourg
Principal Investigator(s):

Hugo PARLIER

Jean-Marc SCHLENKER

Giovanni PECCATI

About

A growing number of quantitative methods across science and modeling are in need of a deeper understanding in the geometry, topology and shape of large data sets or parameter spaces. In addition, probabilistic methods are evolving in similar ways both in modeling theory and in geometric topology. This project proposes a multifaceted scientific approach whose objective is threefold: (i) the systematic creation of new methods and tools in geometry and probability, (ii) the careful study of novel and well-chosen applications of these methods, and (iii) the development of research bridging geometry and probability, facilitating the exchange of knowledge between these two fundamental areas. In addition to innovative training goals and methods for the concerned doctoral candidates, strengthening these bridging disciplines will be an important factor in their scientific development. The research axes of the proposed doctoral training program all surround the two fundamental disciplines of geom- etry and probability, and a particular focus point is on how these subjects interact. The underlying backbone of the project is geometric however, where geometry is studied from a topological, probabilistic, arithmetic and combina- torial viewpoint. The wide scientific breadth of the proposal is made coherent through a careful choice of research topics which relate to each other and the inclusion of areas which bridge between the geometric and probabilistic natured subjects. We value your feedback and inquiries. Contact prof. Hugo Parlier.