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Boundedness for representations of the fundamental group

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Hélène Esnault
FU Berlin
Wed, 2014-06-11 11:30 - 12:30

Deligne's finiteness theorem for lisse $\bar{\mathbb{Q}}_\ell$-sheaves ver finite fields for bounded rank and bounded ramification suggests the existence of boundedness theorems for other categories as well, notably for algebraic flat connections over the complex numbers and stratifications in characteristic $p>0$.

We will report on what we understand so far (work in progress).

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