CRM: Centro De Giorgi
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Fundamental Groups in Arithmetic and Algebraic Geometry

Etale contractible varieties in positive characteristic

speaker: Jakob Stix (Ruprecht-Karls-Universit├Ąt Heidelberg)

abstract: Classical homotopy theory is based on the idea of contracting the interval. In etale homotopy theory, at least in characteristic 0, the affine line provides an algebraic analogue of the interval. However, in positive characteristic p > 0 the affine line badly fails to be contractible: it admits nontrivial etale covers. The talk reports joint work with Armin Holschbach and Johannes Schmidt about the prospects of varieties in characteristic p>0 to be etale contractible.

Mon 16 Dec, 16:30 - 17:30, Aula Dini
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