Name: Modularity and Generalized Fermat's Equation (en Inglés)
SKU: 68542557
Price: 192.84 USD
Availability: InStock
Author: Michael Bennett;Henri Darmon;Sujatha Ramdorai;Samir Siksek;Dinesh Thakur
ISBN: 9781470485535

portada Modularity and Generalized Fermat's Equation (en Inglés)

Modularity and Generalized Fermat's Equation (en Inglés)

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

Michael Bennett;Henri Darmon;Sujatha Ramdorai;Samir Siksek;Dinesh Thakur

Colección

Contemporary Mathematics

Año

2026

Idioma

Inglés

N° páginas

317

Encuadernación

Tapa Blanda

Dimensiones

25.4x17.8 cm

ISBN13

9781470485535

Modularity and Generalized Fermat's Equation (en Inglés)

Michael Bennett;Henri Darmon;Sujatha Ramdorai;Samir Siksek;Dinesh Thakur (Autor) · American Mathematical Society · Tapa Blanda

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Reseña del libro "Modularity and Generalized Fermat's Equation (en Inglés)"

This volume contains the detailed exposition of virtual lectures on the theme ""Modularity and Generalized Fermat's Equation"", which were delivered in January-April 2022 during the program organized by the Bhaskaracharya Pratishthan Research Institute in Mathematics, Pune, India. Modularity of elliptic curves over the field of rational numbers plays a central role in the proof of the celebrated Fermat's Last Theorem (FLT) by Wiles and Taylor-Wiles in 1995. Around the same time Henri Darmon and his collaborators initiated the study of Generalized Fermat Equations (GFE) in a series of papers. This work leads to an ambitious program to study the generalized Fermat equation $aX^m bY^n=cZ^r$ using the modularity of abelian varieties of $\mathrm{GL}_2$-type over totally real fields. This volume covers some of the background material and presents the current state of the art in this area.