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Derived Algebraic Geometry
 
David Ben-Zvi University of Texas, Austin, TX
Damien Calaque Université Montpellier , France
Julien Grivaux Sorbonne Université, Paris, France
Étienne Mann Université d’Angers, France
David Nadler University of California, Berkeley, CA
Tony Pantev University of Pennsylvania, Philadelphia, PA
Marco Robalo Sorbonne Université, Paris, France
Pavel Safronov University of Edinburgh, United Kingdom
Gabriele Vezzosi Università degli Studi di Firenze, Italy
A publication of the Société Mathématique de France
Derived Algebraic Geometry
Softcover ISBN:  978-2-85629-938-8
Product Code:  PASY/55
List Price: $68.00
AMS Member Price: $54.40
Please note AMS points can not be used for this product
Derived Algebraic Geometry
Click above image for expanded view
Derived Algebraic Geometry
David Ben-Zvi University of Texas, Austin, TX
Damien Calaque Université Montpellier , France
Julien Grivaux Sorbonne Université, Paris, France
Étienne Mann Université d’Angers, France
David Nadler University of California, Berkeley, CA
Tony Pantev University of Pennsylvania, Philadelphia, PA
Marco Robalo Sorbonne Université, Paris, France
Pavel Safronov University of Edinburgh, United Kingdom
Gabriele Vezzosi Università degli Studi di Firenze, Italy
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-938-8
Product Code:  PASY/55
List Price: $68.00
AMS Member Price: $54.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    Panoramas et Synthèses
    Volume: 552021; 268 pp
    MSC: Primary 14

    The authors give a quick introduction to derived algebraic geometry (DAG) sampling basic constructions and techniques. They discuss affine derived schemes, derived algebraic stacks, and the Artin-Lurie representability theorem. Through the example of deformations of smooth and proper schemes, they explain how DAG sheds light on classical deformation theory. In the last two sections, the authors introduce differential forms on derived stacks, and then specialize to shifted symplectic forms, giving the main existence theorems proved in PTVV.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 552021; 268 pp
MSC: Primary 14

The authors give a quick introduction to derived algebraic geometry (DAG) sampling basic constructions and techniques. They discuss affine derived schemes, derived algebraic stacks, and the Artin-Lurie representability theorem. Through the example of deformations of smooth and proper schemes, they explain how DAG sheds light on classical deformation theory. In the last two sections, the authors introduce differential forms on derived stacks, and then specialize to shifted symplectic forms, giving the main existence theorems proved in PTVV.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.