Conjugacy classes of special automorphisms of the affine spaces
Jérémy Blanc (Basel)
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When 
May 07, 2015 from 03:30 pm to 04:30 pm 
Where  Mainz, 05432 (Hilbertraum) 
Contact Name  Ronan Terpereau 
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Abstract. Over an algebraically closed field, the conjugacy classes of the groups GLn and SLn are wellknown. 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 (FurterMaubach). 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.