Derived category and cohomology of resolutions of singularities: examples from representation theory.

In this thesis, we study examples of noncommutative crepant resolutions of determinantal varieties, noncommutative symplectic varieties, and elliptic genera. All of these examples are motivated by the problem of comparing the derived categories, cohomology rings, and Chern numbers of two smooth vari...

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Online Access:http://hdl.handle.net/2047/d20005066
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spelling ndltd-NEU--neu-3368142021-05-26T05:09:59ZDerived category and cohomology of resolutions of singularities: examples from representation theory.In this thesis, we study examples of noncommutative crepant resolutions of determinantal varieties, noncommutative symplectic varieties, and elliptic genera. All of these examples are motivated by the problem of comparing the derived categories, cohomology rings, and Chern numbers of two smooth varieties related by a flop.http://hdl.handle.net/2047/d20005066
collection NDLTD
sources NDLTD
description In this thesis, we study examples of noncommutative crepant resolutions of determinantal varieties, noncommutative symplectic varieties, and elliptic genera. All of these examples are motivated by the problem of comparing the derived categories, cohomology rings, and Chern numbers of two smooth varieties related by a flop.
title Derived category and cohomology of resolutions of singularities: examples from representation theory.
spellingShingle Derived category and cohomology of resolutions of singularities: examples from representation theory.
title_short Derived category and cohomology of resolutions of singularities: examples from representation theory.
title_full Derived category and cohomology of resolutions of singularities: examples from representation theory.
title_fullStr Derived category and cohomology of resolutions of singularities: examples from representation theory.
title_full_unstemmed Derived category and cohomology of resolutions of singularities: examples from representation theory.
title_sort derived category and cohomology of resolutions of singularities: examples from representation theory.
publishDate
url http://hdl.handle.net/2047/d20005066
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