几何朗兰兹纲领中的积分几何方法

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.

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

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