PIRSA:10050040 Conference

DOI10.48660/10050040

Conference/School: Connections in Geometry and Physics 2010

Morrison, D. (2010). Noncommutative algebras and (commutative) algebraic geometry. Perimeter Institute. https://pirsa.org/10050040

Morrison, David. Noncommutative algebras and (commutative) algebraic geometry. Perimeter Institute, May. 08, 2010, https://pirsa.org/10050040 

@misc{ pirsa_PIRSA:10050040,
  doi = {10.48660/10050040},
  url = {https://pirsa.org/10050040},
  author = {Morrison, David},
  keywords = {},
  language = {en},
  title = {Noncommutative algebras and (commutative) algebraic geometry},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050040 see, \url{https://pirsa.org}}
}

Abstract

The study of D-branes at singular points of Calabi-Yau threefolds has revealed interesting connections between certain noncommutative algebras and singular algebraic varieties. In many respects, the choice of an appropriate noncommutative algebra is analogous to finding a resolution of singularities of the variety. We will explain this connection in detail, and outline a program for studying such ''noncommutative resolutions'' globally, for compact algebraic (Calabi--Yau) threefolds.

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