Surveys on recent developments in algebraic geometry : bootcamp for the 2015 Summer Research Institute on Algebraic Geometry, July 610, 2015, University of Utah, Salt Lake City, Utah
 Responsibility
 Izzet Coskun, Tommaso de Fernex, Angela Gibney, editors.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2017]
 Copyright notice
 ©2017
 Physical description
 x, 370 pages : illustrations ; 27 cm.
 Series
 Proceedings of symposia in pure mathematics ; v. 95.
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

QA1 .A626 V.95  Unknown 
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Description
Creators/Contributors
 Meeting
 Summer Research Institute on Algebraic Geometry (2015 : Salt Lake City, Utah)
 Contributor
 Coskun, Izzet, 1978 editor.
 De Fernex, Tommaso, 1970 editor.
 Gibney, Angela, 1971 editor.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 A snapshot of the Minimal Model Program / Brian Lehmann
 Positive characteristic algebraic geometry / Zsolt Patakfalvi, Karl Schwede, and Kevin Tucker
 The geometry of the moduli space of curves and abelian varieties / Orsola Tommasi
 Birational geometry of moduli spaces of sheaves and Bridgeland stability / Jack Huizenga
 GromovWitten theory: from curve counts to string theory / Emily Clader
 Teichmüller dynamics in the eyes of an algebraic geometer / Dawei Chen
 Cycles, derived categories, and rationality / Asher Auel and Marcello Bernardara
 Degeneration of Hodge structure / Colleen Robles
 Questions about BoijSöderberg Theory / Daniel Erman and Steven V. Sam
 A primer for unstable motivic homotopy theory / Benjamin Antieu and Elden Elmanto.
 Publisher's Summary
 ["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 farreaching 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 610, 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 $p$ 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.", {"source"=>"(source: Nielsen Book Data)"}, "9781470435578", "20170829"]
Subjects
 Subject
 Geometry, Algebraic > Congresses.
 Geometry, Algebraic.
 Algebraic geometry > Curves > Families, moduli (algebraic)
 Algebraic geometry > Birational geometry > Minimal model program (Mori theory, extremal rays)
 Algebraic geometry > Birational geometry > Rationality questions.
 Algebraic geometry > Families, fibrations > Variation of Hodge structures.
 Algebraic geometry > Projective and enumerative geometry > GromovWitten invariants, quantum cohomology, GopakumarVafa invariants, DonaldsonThomas invariants.
 Algebraic geometry > Surfaces and higherdimensional varieties > Vector bundles on surfaces and higherdimensional varieties, and their moduli.
 Algebraic geometry > Arithmetic problems. Diophantine geometry > Positive characteristic ground fields.
 Commutative algebra > Homological methods > Syzygies, resolutions, complexes.
 $K$theory > Higher algebraic $K$theory > $Q$ and plusconstructions.
 Dynamical systems and ergodic theory > Dynamical systems with hyperbolic behavior > Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
Bibliographic information
 Publication date
 2017
 Copyright date
 2017
 Title Variation
 Bootcamp for the 2015 Summer Research Institute on Algebraic Geometry, July 610, 2015, University of Utah, Salt Lake City, Utah
 Recent developments in algebraic geometry
 Series
 Proceedings of symposia in pure mathematics ; volume 95
 ISBN
 9781470435578 hardcover alkaline paper
 1470435578 hardcover alkaline paper