In the Tradition of Ahlfors-Bers, IV.

Intro -- Contents -- Preface -- Plenary Talks -- Workshops and Workshop Speakers -- Colloquium Participants -- Uniformly exponential growth and mapping class groups of surfaces -- An A1 weight not comparable with any quasiconformal Jacobian -- Curvature, stretchiness, and dynamics -- Some special loci in the Siegel space of genus two -- Another approach to the automorphism theorem for Teichmüller spaces -- Energy of twisted harmonic maps of Riemann surfaces -- Introduction -- Acknowledgments -- Notation and Terminology -- 1. Flat bundles and harmonic maps -- 2. Bounded geometry -- 3. Existence of harmonic maps -- 4. The action of Diff(S) on Ts -- 5. Properness of the energy function -- 6. Action of the mapping class group -- 7. Accidental parabolics -- 8. When G = PSL(2, C) -- 9. Speculation -- References -- Isometries of some hyperbolic-type path metrics, and the hyperbolic medial axis -- From left earthquakes to right -- Small eigenvalues and maximal laminations on complete surfaces of negative curvature -- A generalized hyperbolic metric for plane domains -- Subgroups of mapping class groups from the geometrical viewpoint -- Determinants of Laplacians, quasifuchsian spaces, and holomorphic extensions of Laplacians -- Hyperbolic and quasisymmetric structure of hyperspace -- A classification of the modular transformations of infinite dimensional Teichmüller spaces -- Random hyperbolic surfaces and measured laminations -- Extensions of holomorphic motions to quasiconformal motions -- Analyst's Traveling Salesman Theorems. A Survey -- Energy of harmonic maps and Gardiner's formula.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.