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Conjugacy classes of special automorphisms of the affine spaces

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Jérémy Blanc (Basel)

What
  • SFB-Kolloquium
When May 07, 2015
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract. Over an algebraically closed field, the conjugacy classes of the groups GLn and SLn are well-known. In particular, an element is diagonalisable if and only if its conjugacy class is closed. The same result holds for polynomial automorphisms of the complex plane (Furter-Maubach). In this talk, I will present the case of the subgroup of polynomial automorphisms of the affine space of Jacobian 1 (analogue of SLn), which behaves very differently, especially in dimension 2.