Riemann Surfaces: Random, Flat, and Hyperbolic Geometry

Key Points

• The workshop aimed to explore the asymptotic behavior of Riemann surfaces from various geometric perspectives.
• Gathered experts in Riemann surfaces, hyperbolic geometry, and flat surfaces.
• Engaged the combinatorics and probability community to discuss asymptotic properties.
• Focused on behavior of surfaces at large genus.
• Discussed connections between different geometrical viewpoints on Riemann surfaces.
• Outlined combinatorial models related to hyperbolic and flat surfaces.
• Highlighted interdisciplinary approaches to understanding asymptotic properties.