This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2010.8.16) 25 NOV 2010 10:36 entering extended mode %&-line parsing enabled. **modabvar (./modabvar.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, croatian, ukrainian, russian, bulgarian, czech, slovak, danish, dut ch, finnish, basque, french, german, ngerman, ibycus, greek, monogreek, ancient greek, hungarian, italian, latin, mongolian, norsk, icelandic, interlingua, tur kish, coptic, romanian, welsh, serbian, slovenian, estonian, esperanto, upperso rbian, indonesian, polish, portuguese, spanish, catalan, galician, swedish, loa ded. 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[9] File: pics/meccah.png Graphic file (type png) Overfull \hbox (1.09485pt too wide) in paragraph at lines 280--282 []\OT1/lcmss/bx/n/23.89 Basic Prob-lems:[] \OT1/lcmss/m/n/19.907 Pre-sen-ta-tio n, isogeny test-ing, iso-mor-phism [] [10 <./pics/meccah.png>] [11] Overfull \vbox (0.15657pt too high) has occurred while \output is active [] [12] Overfull \vbox (0.56229pt too high) has occurred while \output is active [] [13] File: pics/manin_barcelona.png Graphic file (type png) LaTeX Font Info: Try loading font information for OT1+lcmtt on input line 36 6. (/usr/share/texmf-texlive/tex/latex/base/ot1lcmtt.fd File: ot1lcmtt.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) Overfull \hbox (58.57387pt too wide) in paragraph at lines 373--373 [] \OT1/lcmtt/m/n/19.907 -1/5*{-1/2, 0} + -2/5*{-1/4, 0} + 3/5*{-1/7, 0} + -1/5 *{7/15,1/2},[] [] Overfull \hbox (37.42241pt too wide) in paragraph at lines 373--373 [] \OT1/lcmtt/m/n/19.907 -2/5*{-1/2, 0} + 1/5*{-1/4, 0} + 1/5*{-1/7, 0} + -2/5* {7/15,1/2}[] [] [14 <./pics/manin_barcelona.png>] [15] [16] [17] Overfull \hbox (9.0214pt too wide) in paragraph at lines 449--453 [][]\OT1/lcmss/m/n/19.907 We can also ex-plic-itly com-pute $[](\OML/lcmm/m/it/ 19.907 A; B\OT1/lcmss/m/n/19.907 )$ for any mod-u-lar abelian [] [18] [19] [20] [21] [22] Class slides Warning: Slide 22 too long on input line 549. 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