Wang Lab

Institute of Advanced Scientific Studies (IHES)

Ile-de-France (FR1) · France

ERC-funded
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Research focus

ERC Starting Grant · 2023

Connecting Random Conformal Geometry and Teichmüller theory

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…

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