Title   name 2018 KAIST Math. Colloquium     Title Quotients of affine spaces by finite groups: from Noether’s problem to Colliot-Thélène conjecture   Speaker   Danny Neftin       Date 2018-10-11   Host   Place KAIST   File     Abstract : Given an action of a finite group G on an affine space A^n, the quotient variety A^n/G have been a subject of interest for over a century, partially motivated by Noether's problem concerning its rationality. Weaker properties of this variety were extensively studied, relating it to the Inverse Galois problem, parametrization of Galois extensions and essential dimension. One of its weakest possible properties, (very) weak approximation, is the subject of a more recent conjecture by Colliot-Th'el`ene. We shall discuss the above rationality properties, the conjecture, and the (recent) progress towards it.

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