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Fundamental Groups in Arithmetic and Algebraic Geometry

The pro-etale fundamental group

speaker: Bhargav Bhatt (Institute for Advanced Study, Princeton)

abstract: I will talk about the pro-etale fundamental group, which is a refinement of Grothendieck's etale fundamental group constructed using the pro-etale topology. In particular, I will explain why the pro-etale fundamental group is better behaved for singular varieties: it detects all lisse l-adic sheaves through its representation theory (which fails for the groups constructed in SGA on the simplest non-normal varieties, such as nodal curves). This is joint work with Peter Scholze.

timetable:
Mon 16 Dec, 10:30 - 11:30, Aula Dini
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