"Zilber, Boris" .
.
"Mathematical logic and foundations" .
"born digital" .
.
"2011" .
"urn:uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45" .
"text" .
.
"" .
.
"2014-02-04T22:52:04.306000+00:00"^^ .
"Zariski structures in noncommutative algebraic geometry and representation theory" .
"fedoraAdmin" .
"ora:6492" .
.
.
"A suitable subcategory of a\uFB03ne Azumaya algebras is de\uFB01ned and a functor from this category to the category of Zariski structures is constructed. The rudiments of a theory \nof presheaves of topological structures is developed and applied to construct examples of structures at a generic parameter. The category of equivariant algebras is de\uFB01ned \nand a \uFB01rst-order theory is associated to each object. For those theories satisfying a certain technical condition, uncountable categoricity and quanti\uFB01er elimination results \nare established. Models are shown to be Zariski structures and a functor from the category of equivariant algebras to Zariski structures is constructed. The two functors \nobtained in the thesis are shown to agree on a nontrivial class of algebras." .
"Solanki, Vinesh" .
"Algebraic geometry" .
"" .
.
.
"16G" .
"03C" .
"Quantum theory (mathematics)" .
.
"en" .
.
.
"81R" .
"2012-10-04T13:05:02.704000+00:00"^^ .
.
.
.
"thesis" .
"ora:6492" .
"18F" .