Walker And Miller Geometry Book

Click Here === __https://urluss.com/2t7xhS__

This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where...

This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of...

This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant...

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and...

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation...

Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves...

This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary...

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to partial differential equations of the methods of symplectic geometry and...

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and...

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex...

Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book...

This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications...

On April 1, Eisenbud gave the 15th Annual Rowlee Lecture, providing a splendid opening for the KUMUNU conference. Many KUMUNU participants arrived in time to hear Eisenbud, a leading researcher in commutative algebra and algebraic geometry, and author of several widely used books on these subjects. He chose the title "Plato's Cave: Some things we know and some things we don't know about shadows on the wall." The name comes from a fictional dialog, described in Book VII of Plato's The Republic, between Socrates and Plato's brother Glaucon. In the parable, prisoners are chained so that they can face in only one direction, toward a blank wall illuminated by a huge fire behind the prisoners. As events take place between the fire and the prisoners' backs, they see only the shadows and eventually accept the shadows as reality. Eisenbud's lecture asked how much of a higher-dimensional object can be reconstructed from its projection onto lower dimensions. Such questions are important not only in geometry but also in data analysis and elsewhere. 2b1af7f3a8