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Orlik has been working in the area of arrangements for thirty years. Lectures on this subject include CBMS Lectures in Flagstaff, AZ; Swiss Seminar Lectures in Bern, Switzerland; and Summer School Lectures in Nordfjordeid, Norway, in addition to many invited lectures, including an AMS hour talk.

Welker works in algebraic and geometric combinatorics, discrete geometry and combinatorial commutative algebra. Lectures on the topic of the book include Summer School on Topological Combinatorics, Vienna and Summer School Lectures in Nordfjordeid, in addition to several invited talks.




This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions. Both topics are essential parts of current research in a variety of mathematical fields, and the present book makes these sophisticated tools available for graduate students.




This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions. Both topics are essential parts of current research in a variety of mathematical fields, and the present book makes these sophisticated tools available for graduate students.


Content:
Front Matter....Pages I-VIII
Front Matter....Pages I-VIII
Introduction....Pages 5-11
Algebraic Combinatorics....Pages 13-59
Applications....Pages 61-79
Front Matter....Pages I-VIII
Introduction....Pages 83-105
Basic De.nitions and Examples....Pages 107-124
Cellular Resolution....Pages 125-144
Discrete Morse Theory....Pages 145-172
Back Matter....Pages 173-181


This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions. Both topics are essential parts of current research in a variety of mathematical fields, and the present book makes these sophisticated tools available for graduate students.


Content:
Front Matter....Pages I-VIII
Front Matter....Pages I-VIII
Introduction....Pages 5-11
Algebraic Combinatorics....Pages 13-59
Applications....Pages 61-79
Front Matter....Pages I-VIII
Introduction....Pages 83-105
Basic De.nitions and Examples....Pages 107-124
Cellular Resolution....Pages 125-144
Discrete Morse Theory....Pages 145-172
Back Matter....Pages 173-181
....
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