Moduli of Meromorphic Quadratic Differentials: June 3-7, 2024

ScheduleParticipant ListShuttle ScheduleView Videos

Organizing by:

  • Tom Bridgeland (University of Sheffield, UK)
  • Samuel Grushevsky (Stony Brook University, USA)
  • Andrew Neitzke (Yale University, USA)
  • Martin Moeller (Universitaet Frankfurt, Germany)

This workshop in Mathematics inspired by a circle of ideas originating in quantum field theory and string theory, particularly the study of the quantum field theories “of class S”. These field theories have been the subject of intense study in the high energy theory community over the last thirteen years. Many of the constructions from physics have now found their natural place in vibrant areas of research in pure mathematics. Physical insights have helped to catalyze the realization that the mathematics of flat surfaces, triangulated categories, cluster algebras, symplectic geometry, and ordinary differential equations have a common Rosetta stone, in the theory of meromorphic quadratic differentials on Riemann surfaces.

This workshop, partly motivated by physics,  is structured around meromorphic quadratic differentials on Riemann surfaces, and their relations with stability conditions and enumerative invariants in geometry. We aim to bring these diverse mathematical communities together to focus on the core constructions of mutual interest, to see if techniques from one field can shed light on questions from another, and to make progress in each of the directions separately.

This workshop is associated with the program Geometric, Algebraic, and Physical structures around the moduli of Meromorphic Quadratic Differentials: May 13-June 21, 2024.

Talk Schedule


Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Differentials, Contractions, and Singularities Dawei Chen SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Affine surfaces, monodromy, and the moduli space of meromorphic connections on Riemann surfaces Paul Apisa SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Boundaries of Hitchin components Charlie Reid SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Cubic differentials and harmonic maps into real buildings Andrea Tamburelli SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Spherical objects and expansive frameworks in 2 CY categories Anthony Licata SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Multi-scale stability conditions for An-Ginzburg categories Anna Barbieri SCGP 102
12:00pm Lunch N/A SCGP Cafe
12:00pm Group Photo N/A SCGP Lobby
2:30pm Weil-Petersson volumes and wall crossing for moduli spaces of cone surfaces Scott Mullane SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Quadratic differential in approximation theory on Riemann surfaces Marco Bertola SCGP 102
6:00pm Banquet Dinner N/A SCGP Cafe

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Skeins, Clusters and Wavefunctions Eric Zaslow SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am The Landscape of Tesserons Sergey Cherkis SCGP 102
12:00pm Lunch N/A SCGP Cafe
3:30pm Tea Time N/A SCGP Cafe

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation Yu Qiu SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Spectral networks from Legendrian weaves Ian Le SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm WKB analysis and Stokes geometry Yan Zhou SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Conjectures on resurgent structure of topological recursion and BPS invariants Kohei Iwaki SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Abelianization of Virasoro conformal blocks at $c=1$ Qianyu Hao SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Exponential networks Pietro Longhi SCGP 102
12:00pm Lunch N/A SCGP Cafe
3:30pm Tea Time N/A SCGP Cafe