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Peiduo Wang

On generalized Fuchs theorem over $p$-adic polyannuli
Jeudi, 23 Novembre, 2023 - 14:00
Résumé : 

In this talk, we study finite projective differential modules on $p$-adic polyannuli satisfying the Robba condition. Christol and Mebkhout proved the decomposition theorem (the p-adic Fuchs theorem) of such differential modules on one dimensional p-adic annuli under certain non-Liouvilleness assumption and Gachets generalized it to higher dimensional cases. On the other hand, Kedlaya proved a generalization of the p-adic Fuchs theorem in one dimensional case. We prove Kedlaya's generalized version of p-adic Fuchs theorem in higher dimensional cases.



Institution de l'orateur : 
University of Tokyo
Thème de recherche : 
Théorie des nombres
Salle : 
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