Detecting rationality via derived categories
Detecting rationality via derived categories
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Alicia Lamarche, University of Utah
Online Talk
Zoom link: https://princeton.zoom.us/j/91248028438
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I will discuss forthcoming work with Matthew Ballard on using the derived category of coherent sheaves to detect the existence of rational points on a particular family of arithmetic toric Fano varieties. More precisely, I will explain how we show that a member of this family of varieties is rational if and only if its bounded derived category of coherent sheaves admits a full étale exceptional collection.