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Discrete Analysis Seminar

Tuesday, November 1, 2022
3:00pm to 4:00pm
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Linde Hall 255
An Elekes-Szabo-type theorem in F_p
Yifan Jing, Mathematical Institute, University of Oxford,

The celebrated Elekes-Szabo theorem asserts that an irreducible algebraic set V in C^3 admits no power-saving if and only if it is in coordinatewise correspondence with a product of connected subgroups of powers of 1-dimensional complex algebraic groups. The result was recently generalized to C^n by Bays and Breuillard. On the other hand, little is known when the ambient field has character p. In this talk, I will talk about an Elekes-Szabo-type result for collinearity on a cubic surface in F_p with a quantitative bound, based on joint work with Tingxiang Zou.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].