Spring 2019

Of Triangles and Intersections

Thursday, February 14th, 2019 11:00 am12:00 pm

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Karim Adiprasito (Hebrew University of Jerusalem)

We discuss probablistic techniques used towards the higher-dimensional crossing lemma, and the more basic question of how many triangles a simplicial complex in R^4 can have. We then introduce an algebraic formulation of this question, and improve on results in algebraic geometry to give the tight answer.