Building Research Interconnections in Dynamics and Geometry
BRIDGe 2026
July 13-17
Building Research Interconnections in Dynamics and Geometry
BRIDGe 2026
July 13-17
Participants
Francisco Arana-Herrera
Harry Bray
Corey Bregman
Aaron Calderon
Brian Collier (organizer)
Michelle Chu
Jeff Danciger (organizer)
Beibei Liu
Sara Maloni (organizer)
Giuseppe Martone
Filippo Mazzoli
Yair Minsky
Alex Nolte
Kasra Rafi
Charles Ried
Peter Smillie
Tina Torkaman
Wouter Van Limbeek
Teddy Weisman
Brandis Whitfield
Mike Wolf
Titles and Abstracts:
Speaker: Richard Wentworth
Title: Higgs bundles, isomonodromy and minimal surfaces
Abstract: In a joint work with Brian Collier and Jeremy Toulisse, we construct a joint moduli space of Higgs bundles, where the Riemann surface structure is allowed to vary in the Teichmüller space of the underlying smooth surface. The nonabelian Hodge correspondence defines a foliation on this joint moduli space whose holonomy recovers the natural mapping class group action on the character variety. This formalism allows one to address issues of special surface group representations that have an algebraic origin. It also has some strong implications for spaces of equivariant minimal surfaces.