The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic geometry, and partial differential equations. Today we see the influence of Ahlfors and Bers on algebraic geometry, mathematical physics, dynamics, probability, geometric group theory, number theory and topology. Recent years have seen a flowering of this legacy with an increased interest in their work.
This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, Teichmuller theory, mapping class groups, geometric group theory, and statistical mechanics.
S. M. Antonakoudis, The complex geometry of Teichmuller spaces and
bounded symmetric domains
T. Aougab and S. J. Taylor, Pseudo-Anosovs optimizing the ratio of
Teichmuller to curve graph translation length
M. Bestvina and K. Fujiwara, Handlebody subgroups in a mapping class group
S. Choi, The convex real projective obifolds with radial or totally geodesic
ends: A survey of some partial results
J. Fan and J. Hu, A gluing theorem and applications in subspaces of the
universal Teichmuller space
F. P. Gardiner, Extremal length and uniformization
J. Gilman and L. Keen, Winding and unwinding and essential intersections in
$\mathbb{H}^3$
G. R. Grimmett and Z. Li, The 1-2 model
S. Gupta and M. Wolf, Meromorphic quadratic differentials with complex
residues and spiralling foliations
P. Haissinsky, Quasi-isometric rigidity of the class of convex-cocompact
Kleinian groups
Y. Jiang and S. Mitra, Variation of moduli under continuous motions
B. Linowitz and J. S. Meyer, Systolic surfaces of arithmetic hyperbolic
3-manifolds
H. Miyachi, Extremal length functions are log-plurisubharmonic
Ara S. Basmajian, The Graduate Center, CUNY, New York, NY.
Yair N. Minsky, Yale University, New Haven, CT.
Alan W. Reid, University of Texas at Austin, TX.
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