| Equipe(s) : | tga, |
| Responsables : | |
| Email des responsables : | frederic.han@imj-prg.fr |
| Salle : | http://www.imj-prg.fr/tga/sem-ga |
| Adresse : | |
| Description | La page officielle du SéminaireLe jeudi à 14h.
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| Orateur(s) | Eiji Inoue - , |
| Titre | Non-archimedean mu-entropy and moment measure |
| Date | 22/06/2023 |
| Horaire | 14:00 à 15:00 |
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| Diffusion | |
| Résume | L'exposé sera aussi diffusé par ZOOM:870 3083 2332, demander le mot de passe à Olivier Benoist, Olivier Debarre ou Frederic Han, ou inscrivez vous sur la liste de diffusion Abstract: H-entropy (H-invariant) is a quantity for test configurations/filtrations/NA metrics of a Fano variety X. Its maximization detects Chen-Sun-Wang’s degeneration of X to a modified K-semistable Fano variety, which is constructed along the limit of Kahler-Ricci flow. While H-entropy makes sense only for Fano variety like Ding invariant, there is another quantity called mu-entropy which makes sense for general polarized variety like Mabuchi invariant and whose maximization detects the same degeneration as for Fano variety. After showing some results which motivate us to find a maximizer of mu-entropy for general polarized variety, I will explain my attempt to apply non-archimedean method to this maximization problem. In the story, we introduce a new measure on Berkovich space peculiar to trivially valued case, which I call moment measure.
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| Salle | jussieu 15-25 502 |
| Adresse | Campus Pierre et Marie Curie |