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BEGIN:VEVENT
UID:news740@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T213008
DTSTART;TZID=Europe/Zurich:20130426T103000
SUMMARY:Seminar Algebra and Geometry: Arnaud Beauville (Université de Nice
 )
DESCRIPTION:The Lüroth problem asks whether every field K with C ⊂ K ⊂
  C(x1\,...\,xn) is of the form C(y1\,...\,yp).  In geometric terms\, if an
  algebraic  variety can be parametrized by  rational functions\, can one f
 ind  a one-to-one such parametrization?  After a brief historical survey\,
  I will recall the counter-examples   found in the 70's\; then I will desc
 ribe a quite simple (and new)   counter-example\, and its application to t
 he study of finite simple   groups of birational automorphisms of P3.
X-ALT-DESC: The Lüroth problem asks whether every field <i>K</i> with <b>C
 </b> ⊂ <i>K</i> ⊂ <b>C</b>(x<sub>1</sub>\,...\,x<sub>n</sub>) is of th
 e form <b>C</b>(y<sub>1</sub>\,...\,y<sub>p</sub>).  In geometric terms\, 
 if an algebraic  variety can be parametrized by  rational functions\, can 
 one find  a one-to-one such parametrization?<br />  After a brief historic
 al survey\, I will recall the counter-examples   found in the 70's\; then 
 I will describe a quite simple (and new)   counter-example\, and its appli
 cation to the study of finite simple   groups of birational automorphisms 
 of <b>P</b><sup>3</sup>.
DTEND;TZID=Europe/Zurich:20130426T120000
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