Smooth noncommutative blowups of dimer algebras and isolated nonnoetherian singularities

Charlie Beil (University of Bristol)

Wednesday 27th May, 2015 16:00-17:00 Maths 516

Abstract

A nonnoetherian singularity may be viewed geometrically as an algebraic variety with a positive dimensional 'smeared-out' point.  I will describe how isolated nonnoetherian singularities admit noncommutative blowups which are smooth, in a suitable geometric sense.  Furthermore, I will describe how a class of isolated nonnoetherian noncommutative singularities, namely non-cancellative dimer algebras, also admit noncommutative blowups which are smooth.

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