Random Explorations

Description

A new area of exploration has emerged at the crossroads of probability, geometry, and analysis, aiming to develop a unified theory of the geometry of random structures. The core question is: how does randomness interact with geometry within a given structure? Specifically, does the geometry appear to be random at every scale (i.e. fractal), or do fluctuations “average out” at sufficiently large scales? Can we describe the overall geometry through a suitable scaling limit that permits concrete calculations?

Significant advances have been achieved in this field over the past two decades, yet many fundamental problems remain and the area is developing rapidly. The objective of the workshop is to bring together specialists from probability, mathematical physics, analysis, and related disciplines to examine this issue in key scenarios. The workshop will concentrate on random objects defined either by fundamental probability models or motivated by physics. Key topics of interest include random walks (and many related models), percolation, the Gaussian free field, Schramm-Loewner evolution (SLE), random planar maps, and Liouville quantum gravity, particularly in relation to conformally invariant scaling limits.

Poster Session

This workshop will include a poster session for early career researchers (including graduate students). In order to propose a poster, you must first register for the workshop, and then submit a proposal using the form that will become available on this page after you register. The registration form should not be used to propose a poster.

The deadline for proposing is May 10, 2026. If your proposal is accepted, you should plan to attend the event in-person.

Registration

IMSI is committed to making all of our programs and events inclusive and accessible. Contact [email protected] to request disability-related accommodations.