Seminar Algebra and Geometry: Jean-Philippe Furter (Basel)

Some properties of the group GL_2(C[X_1, . . . , X_m]) and some applications to the polynomial automorphism group Aut(A^n) of the affine space A^n

The groups GL₂(C[X₁,...,X_m]) and Aut(Aⁿ) can naturally be considered as ind-groups (algebraic groups of infinite dimension). As such, they are endowed with the Zariski topology. We will describe several topological properties of these two groups. In particular, we will give examples of closed subgroups.

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