出版日期:2016-6
ISBN:9781618961403
作者:Francisco Bulnes
页数:206页
书籍目录
FRONT MATTER
Chapter 1: Introduction
Chapter 2: Derived Categories in Geometrical Langlands Ramification Problem
Chapter 3: From the Hecke Categories to Twisted Hecke Categories
Chapter 4: Penrose Transform Framework and Their Moduli Identities
Chapter 5: Extending by Field Geometrical Integration: Self-Extensions of Verma Modules
Chapter 6: Some Results on Geometrical Correspondences in the Geometrical Langlands Program
Chapter 7: Some Results of the Generalized Penrose Transforms Applied to Holomorphic Vector Bundles with Extended Connections
Chapter 8: Integral Geometry Behold of the Holomorphicity
BACK MATTER
作者简介
The book is divided on the studied aspects in integral geometry and that are of interest in field theory, at least, to the solution or obtaining of integrals to the field equations corresponding to the moduli stacks planted. In the chapters 1, 2, 3, 4, are exposed the generalizations of the Penrose transforms with a good D-modules theory in the derived categories context and their deformations. In the chapters 5, and 6, are exposed and discussed the different classification problems and their implications in the differential operators to the field equations. Finally, in the chapters 7, and 8 are exposed the aspects of the geometrical ramification of field ramification going behold the holomorphicity.
In the end of the book are included several research exercises that can be discussed and exposed inside postgraduate courses in derived geometry or related as derived categories or categories on commutative and non-commutative rings.