Preface ....................................................... vii
Plenary Talks .................................................. ix
Workshops and Workshop Speakers ................................ xi
Colloquium Participants ...................................... xiii
Uniformly exponential growth and mapping class groups of
surfaces
J.W. Anderson, J. Aramoyona, and K.J. Schackleton ............ 1
An A1 weight not comparable with any quasiconformal Jacobian
Christopher J. Bishop ........................................ 7
Curvature, stretchiness, and dynamics
Moon Duchin ................................................. 19
Some special loci in the Siegel space of genus two
Clifford J. Earle ........................................... 31
Another approach to the automorphism theorem for Teichmüller
spaces
Ege Fujikawa ................................................ 39
Energy of twisted harmonic maps of Riemann surfaces
William M. Goldman and Richard A. Wentworth ................. 45
Isometries of some hyperbolic-type path metrics, and the
hyperbolic medial axis
Peter Hästö, Zair Ibragimov, David Minda, Saminathan
Ponnusamy, and Swadesh Sahoo ................................ 63
From left earthquakes to right
Jun Нu ...................................................... 75
Small eigenvalues and maximal laminations on complete
surfaces of negative curvature
Christopher M. Judge ........................................ 93
A generalized hyperbolic metric for plane domains
Linda Keen and Nikola Lakic ................................ 107
Subgroups of mapping class groups from the geometrical
viewpoint
Richard P. Kent IV and Christopher J. Leininger ............ 119
Determinants of Laplacians, quasifuchsian spaces, and
holomorphic extensions of Laplacians
Young-Heon Kim ............................................. 143
Hyperbolic and quasisymmetric structure of hyperspace
Leonid V. Kovalev and Jeremy T. Tyson ...................... 151
A classification of the modular transformations of infinite
dimensional Teichmuller spaces
Katsuhiko Matsuzaki ........................................ 167
Random hyperbolic surfaces and measured laminations
Maryam Mirzakhani .......................................... 179
Extensions of holomorphic motions to quasiconformal motions
Sudeb Mitra ................................................ 199
Analyst's Traveling Salesman Theorems. A Survey
Raanan Shul ................................................ 209
Energy of harmonic maps and Gardiner's formula
Richard A. Wentworth ....................................... 221
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