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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Colloquium

On geometric properties of conformally invariant curves

Eveliina Peltola
chaire Morlet

Date(s) : 23/10/2026   iCal
16h00 - 17h00

How to construct a canonical random conformally invariant path in two dimensions? Inspired by Loewner’s classical theory of slit domains, Schramm introduced random Loewner evolutions (SLE) to model such paths via dynamics of conformal maps. While initially used to describe critical interfaces in statistical physics models and their deep connection to conformal field theory (CFT), SLE curves have since become fundamental in probability theory and mathematical physics, and have turned out to have numerous unexpected connections with complex geometry, enumerative problems, interacting particle systems, and beyond. This talk focuses on recent developments on interactions between SLE curves and their role in geometry and physics.

Emplacement
Saint-Charles - FRUMAM (2ème étage)

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