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UID:news744@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T221955
DTSTART;TZID=Europe/Zurich:20130315T103000
SUMMARY:Seminar Algebra and Geometry: Christian Urech (Universität Basel)
DESCRIPTION:The affine Cremona group $\\mathcal{G}_n$ is the group of polyn
 omial  automorphisms of An.  Hanspeter Kraft and Immanuel Stampfli  showed
  that every automorphism  of $\\mathcal{G}_n$ as a group is inner up  to f
 ield automorphism if  restricted to the  subgroup of tame automorphisms. F
 irst I will sketch a  proof of this  theorem. \\r\\n In a next step we onl
 y consider those automorphisms of   $\\mathcal{G}_n$ that also respect its
  additional algebraic structure as   an ind-group. It turns out that these
  are exactly the inner   automorphisms of $\\mathcal{G}_n$. To prove this 
 I will follow an  idea  recently presented by Belov-Kanel and Yu\, which u
 ses tame   approximation. \\r\\nThese are results from my Master's thesis 
 under the supervision of Hanspeter Kraft.
X-ALT-DESC:The affine Cremona group $\\mathcal{G}_n$ is the group of polyno
 mial  automorphisms of <b>A</b><sup>n</sup>.  Hanspeter Kraft and Immanuel
  Stampfli  showed that every automorphism  of $\\mathcal{G}_n$ as a group 
 is inner up  to field automorphism if  restricted to the  subgroup of tame
  automorphisms. First I will sketch a  proof of this  theorem. \n In a nex
 t step we only consider those automorphisms of   $\\mathcal{G}_n$ that als
 o respect its additional algebraic structure as   an ind-group. It turns o
 ut that these are exactly the inner   automorphisms of $\\mathcal{G}_n$. T
 o prove this I will follow an  idea  recently presented by Belov-Kanel and
  Yu\, which uses tame   approximation. \nThese are results from my Master'
 s thesis under the supervision of Hanspeter Kraft.
DTEND;TZID=Europe/Zurich:20130315T120000
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