TY - BOOK AU - Basmajian,Ara S. AU - Minsky,Yair N. AU - Reid,Alan W. ED - Ahlfors-Bers Colloquium TI - In the tradition of Ahlfors-Bers, VII T2 - Contemporary mathematics SN - 9781470426514 (pbk. : acidfree paper) U1 - 510 23 PY - 2017/// CY - Providence : PB - American Mathematical Society, KW - Functions KW - Congresses KW - Riemann surfaces KW - Mappings (Mathematics) KW - Teichmüller spaces KW - Manifolds (Mathematics) N1 - Includes bibliographical references; The complex geometry of Teichmüller spaces and bounded symmetric domains / Stergios M. Antonakoudis -- Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length / Tarik Aougab and Samuel J. Taylor -- Handlebody subgroups in a mapping class group / Mladen Bestvina and Koji Fujiwara -- The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results / Suhyoung Choi -- A gluing theorem and applications in subspaces of the universal Teichmüller space / Jinhua Fan and Jun Hu -- Extremal length and uniformization / Frederick P. Gardiner -- Winding and unwinding and essential intersections in $\mathbb {H}^3$ / Jane Gilman and Linda Keen -- The 1-2 model / Geoffrey R. Grimmett and Zhongyang Li -- Meromorphic quadratic differentials with complex residues and spiralling foliations / Subhojoy Gupta and Michael Wolf -- Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups / Peter Haïssinsky -- Variation of moduli under continuous motions / Yunping Jiang and Sudeb Mitra -- Systolic surfaces of arithmetic hyperbolic 3-manifolds / Benjamin Linowitz and Jeffrey S. Meyer -- Extremal length functions are log-plurisubharmonic / Hideki Miyachi -- N2 - 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 ER -