Fundamental Groups in Arithmetic and Algebraic Geometry

Restrictions on pro-l fundamental groups of smooth projective varieties

speaker: Donu Arapura (Purdue University)

abstract: I want to talk about some work, which is still at a preliminary stage, that involves adapting some standard results from the study of K\"ahler groups -- groups which arise as fundamental groups of compact K\"ahler manifolds -- to varieties in positive characteristic. Even in the absence of the usual Hodge theoretic tools, it seems surprising (at least to me) how much does go through.

timetable:
Tue 17 Dec, 15:00 - 16:00, Aula Dini
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