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15 Nisan 2022, 15:40 
Bilkent Üniversitesi ODTÜ-Bilkent Cebirsel Geometri SeminerleriAn upper bound on the expected areas of amoebas of plane algebraic curves Ali Ulaş Özgür Kişsel The amoeba of a complex plane algebraic curve has an area bounded above by $\pi^2 d^2/2$. This is a deterministic upper bound due to Passare and Rullgard. In this talk I will argue that if the plane curve is chosen randomly with respect to the Kostlan distribution, then the expected area cannot be more than $\mathcal{O}(d)$. The results in the talk will be based on our joint work in progress with Turgay Bayraktar. Zoom ags 11.04.2022 |
