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Essential dimension of homogeneous forms

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  • UserAngelo Vistoli (Pisa)
  • ClockWednesday 16 February 2011, 14:15-15:15
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

The concept of essential dimension has been introduced 15 years ago, and has attracted a lot of attention since then. The essential dimension of an algebraic or algebro-geometric object (e.g., of an algebra, a quadratic form, or an algebraic curve) is the minimal number of independent parameters required to define the underlying structure. In many cases computing the essential dimension is a delicate question, linked with long-standing open problems. I will survey the basic concepts, give some examples, and present recent results due to Reichstein and me on the essential dimension of homogeneous forms.

This talk is part of the Algebraic Geometry Seminar series.

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