Exact presentation topics will depend on participant interest, but we hope for groups to cover background and recent results in a subset of the rough areas listed below. Some topics are broader than others, and there is overlap between them. Note that during the workshop, you will only be expected to talk about one paper; the papers listed here are just suggestions to give you an idea of what each topic is about.
Participants can expect a more detailed description of workshop subtopics (including background references) once selections have been made.
Currents and Counting
Mirzakhani's Curve Counting and Geodesic Currents (Erlandsson, Souto)
Counting Curves in Hyperbolic Surfaces (Erlandsson, Souto)
Counting Curves, and the Stable Lengths of Currents (Erlandsson, Parlier, Souto)
Currents and Teichmüller Theory
Teichmüller theory via random simple closed curves (McMullen, Torkaman)
Length functions in Teichmüller and anti de sitter geometry (Mazzoli, Viaggi)
Earthquakes and Measured Laminations
The anti de sitter proof of Thurston's earthquake theorem (Diaf, Seppi)
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow (Calderon, Farre)
Random hyperbolic surfaces and measured laminations (Mirzakhani)
Currents on Out(Fn) and other negatively curved groups
Geodesic currents on negatively-curved groups (Bonahon)
Geometric Intersection Number and analogues of the Curve Complex for free groups (Kapovich, Lustig)
The Patterson-Sullivan Embedding and Minimal Volume Entropy for Outer Space (Kapovich, Nagnibeda)
Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space (Kapovich, Lustig)
Appendix to Entropy and the clique polynomial (McMullen)
Duals of geodesic currents
The Intersection Dual of Geodesic Currents (Martinez-Granado, Thurston)
Dual spaces of geodesic currents (De La Rosa, Martinez-Granado)
Marked Length Spectrum Rigidity and generalizations
Le spectre marqué des longueurs des surfaces à courbure négative (Otal)
Length spectra and degeneration of flat metrics (Duchin, Leininger, Rafi)
Hyperbolic cone metrics and billiards (Erlandsson, Leininger, Sadanand)
Currents and Entropy
Entropy and closed geodesics (Katok)
Regularity of entropy, geodesic currents and entropy at infinity (Schapira, Tapie)