This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=latex 2005.3.10) 13 FEB 2008 09:12 entering extended mode **seminar-00180-abstract-vrb.tex (./seminar-00180-abstract-vrb.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. (/usr/local/tex/te/3.0/texmf-dist/tex/latex/base/article.cls Document Class: article 2004/02/16 v1.4f Standard LaTeX document class (/usr/local/tex/te/3.0/texmf-dist/tex/latex/base/size10.clo File: size10.clo 2004/02/16 v1.4f Standard LaTeX file (size option) ) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (./seminar-00180-abstract-vrb.aux) \openout1 = `seminar-00180-abstract-vrb.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 2. LaTeX Font Info: ... okay on input line 2. Overfull \hbox (74.99634pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 For a semisimple algebraic group G acting on a vector spac e V, it is rare that[] [] Overfull \hbox (69.74638pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 there is a dense G-orbit in the projective space P(V). Wh en there is such an[] [] Overfull \hbox (80.24629pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 orbit, one can reduce the study of G-torsors to that of to rsors under a smaller[] [] Overfull \hbox (85.49625pt too wide) in paragraph at lines 12--12 []\OT1/cmtt/m/n/10 group H. This provides a unified view of several classical a lgebraic results, such[] [] Overfull \hbox (80.24629pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 as the diagonalization of symmetric matrices and Pfister's theorems on quadratic[] [] Overfull \hbox (85.49625pt too wide) in paragraph at lines 12--12 []\OT1/cmtt/m/n/10 forms of dimension <= 12 in I^3. We describe the general sit uation, the case where[] [] Overfull \hbox (80.24629pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 G is a spin group and V is a half-spin representation, and recent work with Anne[] [] Overfull \hbox (53.99652pt too wide) in paragraph at lines 12--12 [] \OT1/cmtt/m/n/10 Queguiner-Mathieu that generalizes Pfister's theorem in dimension 12.[] [] [1 ] (./seminar-00180-abstract-vrb.aux) ) Here is how much of TeX's memory you used: 203 strings out of 94500 2385 string characters out of 1173795 49348 words of memory out of 1000000 3456 multiletter control sequences out of 10000+50000 3808 words of font info for 15 fonts, out of 500000 for 2000 580 hyphenation exceptions out of 1000 23i,4n,17p,150b,130s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on seminar-00180-abstract-vrb.dvi (1 page, 960 bytes).