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Quotient singularities in the Grothendieck ring of varieties
Algebraic Geometry| Speaker: | Louis Esser, UCLA |
| Related Webpage: | https://www.math.ucla.edu/~esserl/ |
| Location: | 2112 MSB |
| Start time: | Tue, Nov 22 2022, 12:10PM |
The class of a smooth projective variety in the Grothendieck ring of varieties contains a great deal of geometric information. For example, a famous result of Larsen and Lunts shows that this ring detects stable rationality of varieties that are smooth and projective. The interpretation of classes of singular varieties is less clear, but for certain types of singular varieties, we can "pretend" they are smooth for the purpose of detecting stable rationality. In this talk, we'll explore what types of quotient varieties belong to this class. This talk is based on joint work with Federico Scavia (https://arxiv.org/abs/2208.14313).