This workshop is part of the Bernoulli Center programme at EPFL, to be held from 10 to 14 August 2026.

Since its appearance in Hitchin’s seminal work, the moduli space of Higgs bundles on a Riemann surface has occupied a central position in algebraic geometry, representation theory, mathematical physics, and low-dimensional topology. In the same paper, Hitchin identifies and exploits the rich geometric structure of his moduli space as an algebraic variety, a symplectic manifold, and a hyperKähler manifold.

After 40 years, each of these perspectives have led to dedicated communities with distinct language, priorities, and expertise. We hope that by assembling modern experts interested in the same space, we will discover and inspire new collaborations and novel directions .