100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Adrian Langer

Nearby-cycles and semipositivity in positive characteristic
Lundi, 18 Février, 2019 - 14:00
Résumé : 

I will talk about an analogue of Hodge theory in positive characteristic. In particular, I will show analogues of Schmid's  nilpotent orbit theorem and nearby cycles in positive characteristic. As an application I will prove some strong semipositivity theorems for analogs of complex polarized variations of Hodge structures. This implies, e.g., semipositivity for relative canonical divisor of a semistable reduction and implies some new results over complex numbers.

Institution de l'orateur : 
IMPAN Varsovie
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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