Essential dimension of generic symbols (and other great things I learned on sabbatical)

Document Type

Presentation Abstract

Presentation Date

9-26-2016

Abstract

The essential dimension of an algebraic object is loosely defined as the minimal number of independent parameters needed to define the object over a base field. The essential dimension of an algebraic object was only formally defined in the late 90's and in that case it was for abelian groups. We will take a look at the original motivations for essential dimension and discuss some recent results. One example we will look closely at is the essential dimension of generic symbol algebras (x1,y1)⊗⋯⊗(xn,yn) (to be defined in the talk). These algebras have different essential dimensions over ℂ and over a field of characteristic p.

Additional Details

Monday, September 26, 2016 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

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