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Reciprocity Laws for $(\varphi_{L}, \Gamma_{L})$-Modules over Lubin–Tate Extensions
 
Peter Schneider Westfalische Wilhelms-Universität, Münster, Germany
Otmar Venjakob University of Heidelberg, Germany
A publication of European Mathematical Society
Softcover ISBN:  978-3-98547-100-3
Product Code:  EMSMEM/24
List Price: $75.00
AMS Member Price: $60.00
Not yet published - Preorder Now!
Expected availability date: January 09, 2026
Please note AMS points can not be used for this product
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Reciprocity Laws for $(\varphi_{L}, \Gamma_{L})$-Modules over Lubin–Tate Extensions
Peter Schneider Westfalische Wilhelms-Universität, Münster, Germany
Otmar Venjakob University of Heidelberg, Germany
A publication of European Mathematical Society
Softcover ISBN:  978-3-98547-100-3
Product Code:  EMSMEM/24
List Price: $75.00
AMS Member Price: $60.00
Not yet published - Preorder Now!
Expected availability date: January 09, 2026
Please note AMS points can not be used for this product
  • Book Details
     
     
    Memoirs of the European Mathematical Society
    Volume: 242025; 194 pp
    MSC: Primary 11; Secondary 14; 46; 13; 12; 22

    In the Lubin–Tate setting, the authors study pairings for analytic \((\varphi_{L}, \Gamma_{L})\)-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou’s big exponential map as developed by Berger and Fourquaux and a \(p\)-adic regulator map whose construction relies on the theory of Kisin–Ren modules generalising the concept of Wach modules to the Lubin–Tate situation.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
Volume: 242025; 194 pp
MSC: Primary 11; Secondary 14; 46; 13; 12; 22

In the Lubin–Tate setting, the authors study pairings for analytic \((\varphi_{L}, \Gamma_{L})\)-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou’s big exponential map as developed by Berger and Fourquaux and a \(p\)-adic regulator map whose construction relies on the theory of Kisin–Ren modules generalising the concept of Wach modules to the Lubin–Tate situation.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Review Copy – for publishers of book reviews
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