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Zariski structures in noncommutative algebraic geometry and representation theory

Abstract:

A suitable subcategory of affine Azumaya algebras is defined and a functor from this category to the category of Zariski structures is constructed. The rudiments of a theory of presheaves of topological structures is developed and applied to construct examples of structures at a generic parameter. The category of equivariant algebras is defined and a first-order theory is associated to each object. For those theories satisfying a certain technical condition, uncountable categoricity and quantifie...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Model Theory
Oxford college:
Exeter College
Role:
Author

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Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45
Local pid:
ora:6492
Deposit date:
2012-10-04

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