Heike Harenbrock

Mittagsseminar zur Arithmetik: Felix Schremmer (Hong Kong): Beyond minute admissible sets

Tuesday, 23.04.2024 10:15 im Raum SRZ 216/217

Mathematik und Informatik

If a Shimura variety is fully Hodge-Newton decomposable, its mod p reduction enjoys particularly nice properties. These cases are well-understood and characterized by a certain inequality known as the minute condition. In a joint project with Xuhua He and Eva Viehmann, we study the next larger cases, where the minute condition is barely not satisfied any more. I will give a classification of these cases and explain the geometric properties of the corresponding Ekedahl-Oort and Kottwitz-Rapoport strata. The Ekedahl-Oort strata are described by a new class of affine Deligne-Lusztig varieties introduced in a joint work with Ryosuke Shimada and Qingchao Yu. For these affine Deligne-Lusztig varieties of positive Coxter type, we give a full description of their dimensions and the sets of irreducible components.

Angelegt am Monday, 08.04.2024 10:06 von Heike Harenbrock
Geändert am Monday, 08.04.2024 10:06 von Heike Harenbrock
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