Equivariant D-modules on rigid analytic spaces 9782856299364

157 74 2MB

English Pages 161 [174] Year 2021

Equivariant D-modules on rigid analytic spaces
9782856299364

Author / Uploaded
Konstantin Ardakov

Categories
Mathematics

Table of contents :
Chapter 1. Introduction
Chapter 2. Algebraic background
2.1. Enveloping algebras of Lie-Rinehart algebras
2.2. Trivialisations of skew-group rings
2.3. Equivariant sheaves on -topological spaces
Chapter 3. Equivariant differential operators on rigid analytic spaces
3.1. Automorphisms of admissible formal schemes and rigid spaces
3.2. Actions of compact -adic Lie groups on -affinoid algebras
3.3. The completed skew-group ring
3.4. Compatible actions
3.5. The localisation functor
3.6. Coadmissible equivariant -modules
3.7. is an abelian category
Chapter 4. Levelwise localisation
4.1. Noetherianity and flatness over general base fields
4.2. The sheaf on
4.3. The sheaf on
4.4. Theorems of Tate and Kiehl in the equivariant setting
Chapter 5. Beılinson-Bernstein localisation theory
5.1. Invariant vector fields on affine formal group schemes
5.2. The algebra
5.3. -affinity of the flag variety
5.4. The localisation functor is essentially surjective
Chapter 6. Extensions to general -adic Lie groups
6.1. The associative algebra
6.2. The algebra
6.3. Continuous actions on analytifications of algebraic varieties
6.4. The Localisation Theorem for
6.5. Connection to locally analytic distribution algebras
Bibliography

Polecaj historie

Equivariant Quantum Cohomology of Homogeneous Spaces

533 34 3MB Read more

Analytic Function Spaces and Operators on Them 1138486418, 9781138486416

Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting o

901 60 8MB Read more

Introductory Lectures on Equivariant Cohomology 0691191743, 9780691191744

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivaria

656 53 3MB Read more

Composition Operators on Spaces of Analytic Functions 9781315139920, 1315139928, 9781351459129, 1351459120, 9781351459136, 1351459139, 9781351459143, 1351459147

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Op

661 114 105MB Read more

Integration of One-forms on P-adic Analytic Spaces. (AM-162) [Course Book ed.] 9781400837151

Among the many differences between classical and p-adic objects, those related to differential equations occupy a specia

144 87 1MB Read more

Introductory Lectures on Equivariant Cohomology: (AMS-204) 9780691197487

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivaria

168 63 3MB Read more

Composition Operators on Spaces of Analytic Functions [1 ed.] 0849384923, 9780849384929

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Op

527 18 6MB Read more

Conversation Analytic Language Teacher Education in Digital Spaces 9783031191268, 9783031191275, 3031191269

This book presents original research on language teacher education (LTE) activities in digital spaces, making use of a m

146 33 8MB Read more

Lectures on Complex Analytic Varieties (MN-14), Volume 14: Finite Analytic Mappings. (MN-14) 9781400869299

This book is a sequel to Lectures on Complex Analytic Varieties: The Local Paranwtrization Theorem (Mathematical Notes 1

238 26 5MB Read more

Generalized Analytic Automorphic Forms in Hypercomplex Spaces [1 ed.] 3764370599, 9783764370596

This book offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the V

408 58 1MB Read more