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Algebraic Geometry: Salt Lake City 2015
 
Edited by: Tomasso de Fernex :  University of Utah, Salt Lake City, UT
Brendan Hassett :  Brown University, Providence, RI
Mircea Mustaţă :  University of Michigan, Ann Arbor, MI
Martin Olsson :  University of California, Berkeley, CA
Mihnea Popa :  Northwestern University, Evanston, IL
Richard Thomas :  Imperial College of London, London, United Kingdom
A co-publication of the AMS and Clay Mathematics Institute
Algebraic Geometry: Salt Lake City 2015
Hardcover ISBN:  978-1-4704-3578-3
Product Code:  PSPUM/97.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-4680-2
Product Code:  PSPUM/97.2.E
List Price: $135.00
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-3578-3
eBook: ISBN:  978-1-4704-4680-2
Product Code:  PSPUM/97.2.B
List Price: $274.00 $206.50
MAA Member Price: $185.85
AMS Member Price: $219.20 $165.20
Add to cart
Algebraic Geometry: Salt Lake City 2015
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Algebraic Geometry: Salt Lake City 2015
Edited by: Tomasso de Fernex :  University of Utah, Salt Lake City, UT
Brendan Hassett :  Brown University, Providence, RI
Mircea Mustaţă :  University of Michigan, Ann Arbor, MI
Martin Olsson :  University of California, Berkeley, CA
Mihnea Popa :  Northwestern University, Evanston, IL
Richard Thomas :  Imperial College of London, London, United Kingdom
A co-publication of the AMS and Clay Mathematics Institute
Hardcover ISBN:  978-1-4704-3578-3
Product Code:  PSPUM/97.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-4680-2
Product Code:  PSPUM/97.2.E
List Price: $135.00
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-3578-3
eBook ISBN:  978-1-4704-4680-2
Product Code:  PSPUM/97.2.B
List Price: $274.00 $206.50
MAA Member Price: $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 97; 2018; 635 pp
    MSC: Primary 14; 53

    This is Part 2 of a two-volume set.

    Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments.

    The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic.

    Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic \(p\) and \(p\)-adic tools, etc. The resulting articles will be important references in these areas for years to come.
    Readership

    Graduate students and researchers working in algebraic geometry and its applications.
    This item is also available as part of a set:
  • Table of Contents
     
     
    • Part 2
    • David Ben-Zvi and David Nadler — Betti Geometric Langlands
    • Bhargav Bhatt — Specializing varieties and their cohomology from characteristic $0$ to characteristic $p$
    • T. D. Browning — How often does the Hasse principle hold?
    • Lucia Caporaso — Tropical methods in the moduli theory of algebraic curves
    • Renzo Cavalieri, Paul Johnson, Hannah Markwig and Dhruv Ranganathan — A graphical interface for the Gromov-Witten theory of curves
    • Hélène Esnault — Some fundamental groups in arithmetic geometry
    • Laurent Fargues — From local class field to the curve and vice versa
    • Mark Gross and Bernd Siebert — Intrinsic mirror symmetry and punctured Gromov-Witten invariants
    • Eric Katz, Joseph Rabinoff and David Zureick-Brown — Diophantine and tropical geometry, and uniformity of rational points on curves
    • Kiran S. Kedlaya and Jonathan Pottharst — On categories of $(\varphi , \Gamma )$-modules
    • Minhyong Kim — Principal bundles and reciprocity laws in number theory
    • B. Klingler, E. Ullmo and A. Yafaev — Bi-algebraic geometry and the André-Oort conjecture
    • Max Lieblich — Moduli of sheaves: A modern primer
    • Johannes Nicaise — Geometric invariants for non-archimedean semialgebraic sets
    • Tony Pantev and Gabriele Vezzosi — Symplectic and Poisson derived geometry and deformation quantization
    • Alena Pirutka — Varieties that are not stably rational, zero-cycles and unramified cohomology
    • Takeshi Saito — On the proper push-forward of the characteristic cycle of a constructible sheaf
    • Tamás Szamuely and Gergely Zábrádi — The $p$-adic Hodge decomposition according to Beilinson
    • Akio Tamagawa — Specialization of $\ell $-adic representations of arithmetic fundamental groups and applications to arithmetic of abelian varieties
    • Olivier Wittenberg — Rational points and zero-cycles on rationally connected varieties over number fields
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 97; 2018; 635 pp
MSC: Primary 14; 53

This is Part 2 of a two-volume set.

Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments.

The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic.

Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic \(p\) and \(p\)-adic tools, etc. The resulting articles will be important references in these areas for years to come.
Readership

Graduate students and researchers working in algebraic geometry and its applications.
This item is also available as part of a set:
  • Part 2
  • David Ben-Zvi and David Nadler — Betti Geometric Langlands
  • Bhargav Bhatt — Specializing varieties and their cohomology from characteristic $0$ to characteristic $p$
  • T. D. Browning — How often does the Hasse principle hold?
  • Lucia Caporaso — Tropical methods in the moduli theory of algebraic curves
  • Renzo Cavalieri, Paul Johnson, Hannah Markwig and Dhruv Ranganathan — A graphical interface for the Gromov-Witten theory of curves
  • Hélène Esnault — Some fundamental groups in arithmetic geometry
  • Laurent Fargues — From local class field to the curve and vice versa
  • Mark Gross and Bernd Siebert — Intrinsic mirror symmetry and punctured Gromov-Witten invariants
  • Eric Katz, Joseph Rabinoff and David Zureick-Brown — Diophantine and tropical geometry, and uniformity of rational points on curves
  • Kiran S. Kedlaya and Jonathan Pottharst — On categories of $(\varphi , \Gamma )$-modules
  • Minhyong Kim — Principal bundles and reciprocity laws in number theory
  • B. Klingler, E. Ullmo and A. Yafaev — Bi-algebraic geometry and the André-Oort conjecture
  • Max Lieblich — Moduli of sheaves: A modern primer
  • Johannes Nicaise — Geometric invariants for non-archimedean semialgebraic sets
  • Tony Pantev and Gabriele Vezzosi — Symplectic and Poisson derived geometry and deformation quantization
  • Alena Pirutka — Varieties that are not stably rational, zero-cycles and unramified cohomology
  • Takeshi Saito — On the proper push-forward of the characteristic cycle of a constructible sheaf
  • Tamás Szamuely and Gergely Zábrádi — The $p$-adic Hodge decomposition according to Beilinson
  • Akio Tamagawa — Specialization of $\ell $-adic representations of arithmetic fundamental groups and applications to arithmetic of abelian varieties
  • Olivier Wittenberg — Rational points and zero-cycles on rationally connected varieties over number fields
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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