Lipa's legacy : proceedings of the Bers Colloquium, October 19-20, 1995, Graduate School and University Center of CUNY / Józef Dodziuk, Linda Keen, editors.

Format:

Book

Conference/Event

Author/Creator:

Bers Colloquium, Corporate Author.

Contributor:

Dodziuk, Józef, 1947- editor.

Keen, Linda, editor.

Conference Name:

Bers Colloquium (1st : 1995 : Graduate School; University Center of CUNY), issuing body.

Bers Colloquium

Series:

Contemporary mathematics (American Mathematical Society) ; 211.

Contemporary mathematics, 0271-4132 ; 211

Language:

English

Subjects (All):

Functions--Congresses.

Functions.

Physical Description:

1 online resource (490 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1997]

Language Note:

English

Summary:

The mathematical works of Lars Ahlfors and Lipman Bers are fundamental and lasting. They have influenced and altered the development of twentieth century mathematics. The personalities of these two scientists helped create a mathematical family and have had a permanent positive effect on a whole generation of mathematicians. Their mathematical heritage continues to lead succeeding generations. In the fall of 1994, one year after Bers' death, some members of this family decided to inaugurate a series of conferences, "The Bers Colloquium", to be held every three years. The theme was to be a topic in the Ahlfors-Bers mathematical tradition, broadly interpreted. Ahlfors died a year after the first colloquium; future colloquia in this series will be called "The Ahlfors-Bers Colloquium". The first colloquium was held in October 1995 at the Graduate Center, CUNY in New York. It coincided roughly with the second anniversary of Ber's death. There were six lectures and much informal mathematical discussion. This volume contains papers by the speakers and many of the participants. The broad range of papers indicate how strong and far reaching Ber's influence has been. The topics represented in the book include Teichmuller theory, Kleinian groups, higher dimensional hyperbolic geometry, geometry of numbers, circle packings, theory of discrete groups, classical complex function theory, one dimensional dynamics, fluid dynamics, quasiconformal mappings in higher dimensions, partial differential equations, and classical algebraic geometry. partial

Contents:

""Contents""; ""Preface""; ""Computing the Douady-Earle extension""; ""Selected problems in Kleinian groups and hyperbolic geometry""; ""The law of the iterated logarithm for Kleinian groups""; ""Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces""; ""Iteration of mapping classes on a Bers slice: examples of algebraic and geometric limits of hyperbolic 3-manifolds""; ""Lattice constants and a lemma of Zagier""; ""The quasi-Fuchsian space of four-punctured spheres""; ""Approximating L2 invariants of amenable covering spaces: A heat kernel approach""

""Random walks on circle packings""""Some maximal holomorphic motions""; ""Vector fields for holomorphic motions of closed sets""; ""Theta constant identities with applications to combinatorial number theory""; ""The topology of real projective structures""; ""A discreteness condition for subgroups of PSL(2, C)""; ""On principally polarized abelian varieties and Riemann surfaces associated to prisms and pyramids""; ""Schur products of certain polynomials""; ""Inverse problems for fluid flows with a moving boundary""; ""On rigidity of one-dimensional maps""

""Twist maps and Aubry-Mather sets""""How to bend pairs of punctured tori""; ""Lipman Bers, complex analyst""; ""Strebel points""; ""Remarks on m-symmetric Riemann surfaces""; ""Quasi-conformal mappings of Carnot-Caratheodory spaces""; ""Lipman Bers and partial differential equations""; ""Irrational rotations""; ""Î?-homeomorphisms""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7803-4