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Еженедельный семинар лаборатории алгебраической геометрии: Jack Sempliner

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Some results on Igusa Varieties over Function Fields

We'll discuss a local approach to understanding the geometry and cohomology of the special fibers of the moduli stacks of bounded global G-shtuka over a smooth projective curve, in a manner patterned off of the approach of Harris-Taylor and Mantovan. Along the way we'll discuss some suggestive new phenomena which occur in this function field setting.