Surveys on Recent Developments in Algebraic Geometry

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· Proceedings of Symposia in Pure Mathematics Book 95 · American Mathematical Soc.
Ebook
370
Pages
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About this ebook

The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah.

These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic   and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.

About the author

Edited by Izzet Coskun: University of Illinois at Chicago, Chicago, IL,
Tommaso de Fernex: University of Utah, Salt Lake City, UT,
Angela Gibney: University of Georgia, Athens, GA

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