David Gabai (Princeton)

LECTURE 1: Poincaré's work on topology

Abstract: We will discuss some of Poincare's remarkable seminal and fundamental contributions to topology, its huge impact on subsequent research and open problems flowingfrom it.

LECTURE 2: Volumes of hyperbolic 3-manifolds

Abstract: We will survey developments in the field and discuss some ongoing work with R. Meyerhoff and N. Thurston.

LECTURES 3 & 4: On the topology of ending laminations space

Abstract: The Ending lamination space is a naturally defined space associated to a surface of negative Euler characteristic that is important in hyperbolic geometry and geometric group theory. We will discuss recent progress towards characterizing the topology of these beautiful and mysterious spaces.


Ian Agol (UC Berkeley)
"Three-manifold groups"

Tao Li (Boston College)
"Heegaard splittings"

Juan Souto (UBC)
"The first eigenvalue of the Laplacian and the topology of hyperbolic 3-manifolds"

WORKSHOP (2nd week)

Ian Biringer (Boston College)
Jeff Brock (Brown)
Ken Bromberg (Utah)
Nathan Dunfield (Urbana-Champaign)
Stefan Friedl (Köln)
Paolo Ghiggini (Nantes)
Joshua Greene (Boston College)
Jesse Johnson (Oklahoma State)
Chris Leininger (Urbana-Champaign)
Yi Liu (California Institute of Technology)
Darren Long (UC Santa Barbara)
Jessica Purcell (Brigham Young)
Saul Schleimer (Warwick)
Genevieve Walsh (Tufts)
Dani Wise (McGill)
Zhongtao Wu (California Institute of Technology)