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Owen Coss, NC State, Resolving Singularities by the Blowup Process in R^2

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February 12, 2019 | 2:00 pm - 3:00 pm EST

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In this talk I will introduce the ideas of singularities of a polynomial and resolution of those singularities, and then develop the blowup process algorithm. For a polynomial f, a point is singular if f and all its first partials vanish at that point. A resolution of the singularities of f gives a non-singular polynomial g related to f via birational maps. The blowup process provides an algorithm to produce g and these maps. Over R^2, examples are easy to visualize which in turn makes understanding the core ideas easy, so the talk will be accessible to all.



February 12, 2019

2:00 pm - 3:00 pm
Event Category:
SAS 4201