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SUMMARY:The Slice Method for torsors of algebraic groups - Mark MacDonald 
 (Lancaster)
DTSTART:20131113T141500Z
DTEND:20131113T151500Z
UID:TALK46584@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:Given a linear representation V of a linear algebraic group G\
 , the slice method in invariant theory is a way of reducing birationality 
 questions about V/G to questions about S/N(S)\, where S < V is a "slice"\,
  and N(S) is its normalizer. I will describe how an analogous method could
  be applied to G-torsors over a field\, to obtain a reduction to N(S)-tors
 ors. This leads to new information about essential dimension. In this talk
  I will also give some context for the notion of essential dimension\, and
  finally I will explain the various ways the slice method can be applied w
 hen G is the split exceptional algebraic group of type F_4\, hence giving 
 new bounds on ed(F_4). \n
LOCATION:MR 13\, CMS
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