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Mathematics Colloquium


Date:  Tuesday, February 15, 2011

Title:  Noncommutative algebras and (commutative) algebraic geometry

Abstract:  A construction from string theory known as "placing a stack of D-branes at a singular point", when studied mathematically, has revealed interesting connections between certain noncommutative algebras and singular algebraic varieties. In many respects, the determination of an appropriate noncommutative algebra is analogous to finding a resolution of singularities of the variety. We will explain these new connections between algebra and geometry in detail, and describe an emerging new perspective about these "noncommutative resolutions" for compact complex Calabi--Yau threefolds.

Speaker:  David Morrison
Institution:  UCSB


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