Expressive curves

Sergey Fomin

25-Nov-2020, 16:00-16:50 (3 years ago)

Abstract: We call a real plane algebraic curve C expressive if its defining polynomial has the smallest number of critical points allowed by the topology of the set of real points of C. We give a necessary and sufficient criterion for expressivity (subject to a mild technical condition), describe several constructions that produce expressive curves, and relate their study to the combinatorics of plabic graphs, their quivers and links. This is joint work with E. Shustin.

Mathematics

Audience: researchers in the discipline


ICRA 2020

Series comments: The Workshop and International Conference on Representations of Algebras (ICRA) will take place online between 9th November and 25th November 2020.

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Deadline for submitting research snapshots: November 1st, 2020

Organizers: Lidia Angeleri Hügel, Aslak Bakke Buan, Gustavo Jasso*, Henning Krause, Rosanna Laking, Øyvind Solberg
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