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Families of Riemann Surfaces and Weil-Petersson Geometry
Freydoon Shahidi
American Mathematical Society (2010)
Pehmeäkantinen kirja
46,70
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Eisenstein Series and Automorphic L-functions
Freydoon Shahidi:
American Mathematical Society (2010)
Kovakantinen kirja
68,10
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Automorphic Forms and Applications
Peter Sarnak; Freydoon Shahidi
American Mathematical Society (2007)
Kovakantinen kirja
129,70
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Cohomology of Arithmetic Groups : On the Occasion of Joachim Schwermer's 66th Birthday, Bonn, Germany, June 2016
James W. Cogdell (ed.); Günter Harder (ed.); Stephen Kudla (ed.); Freydoon Shahidi (ed.)
Springer (2018)
Kovakantinen kirja
121,30
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Automorphic Forms and Related Geometry - Assessing the Legacy of I.I. Piatetski-Shapiro
James W. Cogdell; Freydoon Shahidi; David Soudry
American Mathematical Society (2014)
Pehmeäkantinen kirja
120,50
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Advances in the Theory of Automorphic Forms and Their $L$-functions
Dihua Jiang; Freydoon Shahidi; David Soudry
American Mathematical Society (2016)
Pehmeäkantinen kirja
131,10
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Cohomology of Arithmetic Groups : On the Occasion of Joachim Schwermer's 66th Birthday, Bonn, Germany, June 2016
James W. Cogdell (ed.); Günter Harder (ed.); Stephen Kudla (ed.); Freydoon Shahidi (ed.)
Springer (2019)
Pehmeäkantinen kirja
121,30
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The Genesis of the Langlands Program
Julia Mueller; Freydoon Shahidi
Cambridge University Press (2021)
Pehmeäkantinen kirja
78,90
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Families of Riemann Surfaces and Weil-Petersson Geometry
46,70 €
American Mathematical Society
Sivumäärä: 118 sivua
Asu: Pehmeäkantinen kirja
Julkaisuvuosi: 2010, 07.03.2011 (lisätietoa)
Kieli: Englanti
This book is the companion to the CBMS lectures of Scott Wolpert at Central Connecticut State University. The lectures span across areas of research progress on deformations of hyperbolic surfaces and the geometry of the Weil-Petersson metric. The book provides a generally self-contained course for graduate students and postgraduates. The exposition also offers an update for researchers; material not otherwise found in a single reference is included. A unified approach is provided for an array of results. The exposition covers Wolpert's work on twists, geodesic-lengths and the Weil-Petersson symplectic structure; Wolpert's expansions for the metric, its Levi-Civita connection and Riemann tensor. The exposition also covers Brock's twisting limits, visual sphere result and pants graph quasi isometry, as well as the Brock-Masur-Minsky construction of ending laminations for Weil-Petersson geodesics. The rigidity results of Masur-Wolf and Daskalopoulos-Wentworth, following the approach of Yamada, are included. The book concludes with a generally self-contained treatment of the McShane-Mirzakhani length identity, Mirzakhani's volume recursion, approach to Witten-Kontsevich theory by hyperbolic geometry, and prime simple geodesic theorem. Lectures begin with a summary of the geometry of hyperbolic surfaces and approaches to the deformation theory of hyperbolic surfaces. General expositions are included on the geometry and topology of the moduli space of Riemann surfaces, the $CAT(0)$ geometry of the augmented TeichmA A1/4ller space, measured geodesic and ending laminations, the deformation theory of the prescribed curvature equation, and the Hermitian description of Riemann tensor. New material is included on estimating orbit sums as an approach for the potential theory of surfaces. A co-publication of the AMS and CBMS.

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Helsinki
Tapiola
Turku
Tampere
Families of Riemann Surfaces and Weil-Petersson Geometry
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ISBN:
9780821849866
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