📋 Tender Overview
Connecting Random Conformal Geometry And Teichmüller Theory
Objective
Random conformal geometry deals with the analysis of conformally invariant systems using probabilistic methods. Random geometric objects, such as the random fractal SLE curves, arise from statistical mechanics models and are of central interest in modern probability theory and mathematical physics. Teichmüller theory as originally introduced studies complex structures on a surface. Teichmüller spaces carry a rich geometric structure and have been an important research topic since the mid-twentieth century. These two fields are traditionally far apart. However, via the introduction of the Loewner energy, the PI showed surprisingly that SLE is closely related to Weil-Petersson Teichmüller space and made the first contact between SLE theory and Teichmüller theory. Further developments exploring the link and recent progress in probabilistic Liouville conformal field theory also suggest that the connection between the two areas is stronger than currently known and we believe exploring the connection is of major scientific interest.
Funded Under
European Research Council (Erc)
Total Cost
€ 1 499 938,00
Eu Contribution
€ 1 499 938,00
Coordinated By
Institut Des Hautes Etudes Scientifiques
France
