Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics.

The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.

This volume presents five papers based on selected lectures given at the Current Developments in Mathematics conference, held in November 2019 at Harvard University.

Papers based on selected lectures given at the Current Development Mathematics Conference, held in November 2017 at Harvard University.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This volume presents five papers based on selected lectures given at the Current Developments in Mathematics conference, held in November 2018 at Harvard University.

Dieses mit grosser Hingabe verfasste Buch befasst sich mit dem Verhaltnis Friedrichs des Grossen zur bildenden Kunst. Tatsachlich war der Einfluss des ausgewiesenen Freundes der Kunst wesentlich grosser als allgemein angenommen und allein seine Sammlungen pragten weite Teile der zeitgenossischen Kunstschaffenden. Das akribisch recherchierte Werk darf getrost heute noch als Stand der Dinge angesehen werd

Dieses mit grosser Hingabe verfasste Buch befasst sich mit dem Verhaltnis Friedrichs des Grossen zur bildenden Kunst. Tatsachlich war der Einfluss des ausgewiesenen Freundes der Kunst wesentlich grosser als allgemein angenommen und allein seine Sammlungen pragten weite Teile der zeitgenossischen Kunstschaffenden. Das akribisch recherchierte Werk darf getrost heute noch als Stand der Dinge angesehen werd

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Festschrift ... Wilhelm II. Paul Seidel

Dieses mit grosser Hingabe verfasste Buch befasst sich mit dem Verhaltnis Friedrichs des Grossen zur bildenden Kunst. Tatsachlich war der Einfluss des ausgewiesenen Freundes der Kunst wesentlich grosser als allgemein angenommen und allein seine Sammlungen pragten weite Teile der zeitgenossischen Kunstschaffenden. Das akribisch recherchierte Werk darf getrost heute noch als Stand der Dinge angesehen werd