Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Lundi 31 Octobre 2016 |
Heure | 10:30 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Zhang |
Prenom de l'orateur | Shou-Wu |
Addresse email de l'orateur | |
Institution de l'orateur | Princeton University & IHES |
Titre | Faltings Heights and L-series (4/4) |
Résumé | In this series of 4 lectures, I will survey some recent work on Faltings heights of CM abelian varieties and applications. In the first lecture, I will talk about some general conjectures about Faltings heights including ABC conjecture, André-Oort conjecture, and Landau-Siegel zero conjecture, etc. In the second lecture, I will talk about some decompositions of Faltings heights of CM abelian varieties into sums of small pieces and their relations with heights of CM points on Shimura curves. In the third lecture, I will talk about Xinyi Yuans recent work on Faltings of CM points on Shimura curves as an extension of Gross-Zagier formula. In the last lecture, I will talk about Yun-Zhangs recent work on Faltings heights of CM points on the moduli of Shtukas. |
Numéro de preprint arXiv | |
Commentaires | Cours de l'IHES |
Fichiers attachés |
Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]
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[ English version ] |