TRINO-MATH SEMINAR ON "Flags on Fano 3-fold hypersurfaces"
Starts 7 Jun 2023 17:00
Ends 7 Jun 2023 18:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
Abstract: The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stability thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to construct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Many of these varieties had been attacked by Kim-Okada-Won using log canonical thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory.