May 19 – 27, 2025
Institut Henri Poincaré
Europe/Paris timezone

On geometric properties of conformally invariant curves

May 26, 2025, 4:00 PM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Eveliina Peltola (Aalto University and University of Bonn)

Description

This talk highlights some geometric aspects emerging from the study of SLE curves and CFT. As examples, we shall mention versions of the Loewner energy (the anticipated action functional of these canonical curve models, or more rigorously, the rate function in large deviations principles for the random curves), classification problems of covering maps with prescribed critical points, and the emergence of the Virasoro algebra (the symmetry algebra of CFTs) from complex deformations of boundaries of bordered Riemann surfaces (i.e., loops).

Presentation materials

There are no materials yet.