### Tropical Fano schemes

Algebra and Geometry Seminar

1st May 2019, 2:30 pm – 3:30 pm

Howard House, 4th Floor Seminar Room

The classical Fano scheme of a variety X parametrizes linear spaces contained in X. It is well understood for certain class of varieties such as toric varieties or hypersurfaces, but there are still many open questions concerning dimension and irreducibility. In this talk, I am going to define the tropical analogue of the Fano scheme. I will show its relation with the classical Fano scheme and how it could help in the study of classical problems. Finally, I will show some interesting examples where the tropical Fano scheme behaves differently from its classical counterpart.

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