In the tradition of Ahlfors-Bers, VII : 6th Ahlfors-Bers Colloquium, October 23-26, 2014, Yale University, New Haven, CT

Bibliographic Information

In the tradition of Ahlfors-Bers, VII : 6th Ahlfors-Bers Colloquium, October 23-26, 2014, Yale University, New Haven, CT

Ara S. Basmajian, Yair N. Minsky, Alan W. Reid, editors

(Contemporary mathematics, 696)

American Mathematical Society, c2017

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Ahlfors-Bers, VII

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Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

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

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