Reading Group

Patterson-Sullivan theory (2025-2026)

Starting on October 30 we will have at the MPI a reading group on Patterson-Sullivan theory, we are going through Sullivan's paper The density at infinity of a discrete group of hyperbolic motion.

This page will record the schedule of the reading group.

• 30/10, 9am, Nat : Backgrounds on hyperbolic geometry and measure theory

• 7/11, 10:30am, Samuel : Conformal densities on the limit set

• 14/11, 10:30, Jiajun : Local properties of an invariant conformal density

• 21-28/11, 10:30, Marie : Convex co-compact groups and Hausdorff measures

• 5-12/12, 10:30am, Marit, The associated invariant measure for the geodesic flow

• 29/01-04/02, 10:30am, Andrea, Conformal densities supported on the radial limit set

• 11-25/02, 10:30am, Group reflexion

If you missed one of the session the videos are available upon request.

Bibliography:

• D. P. Sullivan, The density at infinity of a discrete group of hyperbolic motions, Inst. Hautes Etudes Sci. Publ. Math. No. 50 (1979), 171--202

• S.J.  Patterson, The limit set of a Fuchsian group. Acta Math. 136, 241–273 (1976)

• J-F. Quint,  An overview of Patterson-Sullivan Theory,

• M. Coornaert, Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov, Pacific J. Math. 159(1993), no.2, 241--270

• D. Borthwick,  Spectral Theory of Infinite-Area Hyperbolic Surfaces, Birkhäuser Cham,, Progress in Mathematics 318(2010)