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On a purely inseparable analogue of the Abhyankar conjecture for affine curves

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Shusuke Otabe
Tohoku University/Freie Universität Berlin
Tue, 2018-09-11 14:00 - 15:00
MPIM Lecture Hall
Parent event: 
Extra talk

In 1957, Abhyankar proposed a conjectural description of the set of finite quotients of
Grothendieck’s  étale fundamental group for an affine curve in positive characteristic.
After a breakthrough due to Serre, in 1994, Raynaud and Harbater solved the conjecture
affirmatively. In this talk, we will discuss on a purely inseparable analogue of Abhyankar’s
conjecture, formulated in terms of Nori’s profinite fundamental group scheme. I would like
to talk about a partial answer to it.

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