Fundamental Groups in Arithmetic and Algebraic Geometry

# Some examples of non-proper simply connected manifolds in characteristic $p>0$ and stratified bundles

speaker: Hélène Esnault (Freie Universität Berlin)

abstract: work in progress with V. Srinivas.

Over the complex numbers, an étally simply connected, not necessarily proper manifold does not have any non-trivial regular singular connection. We can't prove the analog in characteristic $p>0$, which would be a non-proper version of Gieseker conjecture. Simply connected manifolds in characteristic $p>0$ have more constraints than in characteristic $0$. We show a few features and can understand the situation in one or two examples.

timetable:
Wed 18 Dec, 9:15 - 10:15, Aula Dini
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