This is TeX, Version 3.14159 (Web2C 7.3) (format=latex 1999.4.5) 7 JUN 1999 14:13 **kev_jun7_99.tex (kev_jun7_99.tex LaTeX2e <1998/12/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 1999/01/07 v1.4a Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size10.clo File: size10.clo 1999/01/07 v1.4a 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 ) (kev_jun7_99.aux) \openout1 = `kev_jun7_99.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 3. LaTeX Font Info: ... okay on input line 3. Overfull \hbox (32.9967pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > Definitely. How about if I write it up and ask you lots o f questions?[] [] Overfull \hbox (17.24684pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 Alright. I've sent you lots of emails about it, so maybe the y contain[] [] Overfull \hbox (11.99689pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 some answers. Alternatively, if you simply *get started* wri ting the[] [] Overfull \hbox (43.49661pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 paper (maybe we want something like a brief description of w hat Hecke does[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 in there somewhere? and/or what was known about Artin before us?),[] [] Overfull \hbox (11.99689pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 to establish a new case---I thought about that bit a lot and I could[] [] Overfull \hbox (53.99652pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 probably write that bit quite quickly. See, I feel that if s omeone presented[] [] Overfull \hbox (38.24666pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 saying "you write this section" then I might well just sit d own and do it[] [] Overfull \hbox (38.24666pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 immediately. But I don't feel at all qualified to write down e.g. a brief[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 explanation of what Hecke was doing, so I keep putting off w riting, and[] [] Overfull \hbox (17.24684pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 eventually I just thought I'd ask you. Course, I'm not sugge sting you[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 write a man page for Hecke, but it would be nice to give a q uick sketch[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 of the parts of the computation that you thought were intere sting.[] [] Overfull \hbox (32.9967pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > Well, those are my thoughts. I was looking at a recent pre-print of[] [] Overfull \hbox (11.99689pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > Fujiwara and I reckon that soon our results might be re dundant![] [] Overfull \hbox (22.4968pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > Wow, in what sense? Can you elaborate. Does it seem mayb e Fujiwara[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 I don't know what he'll do. He has to prove some level-lower ing results[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 for p=2, and he seems to have proved _something_ but he does n't mention[] [] Overfull \hbox (38.24666pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 it in his pre-print. I'm confused as to what he's done for p =2 but I know[] [] Overfull \hbox (17.24684pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 he's thinking about it because he sent me an email saying he could do[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > especially because I rewrote Hecke so that it avoids ever doing[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 a lot so ker(T_2) might well be huge. Or is this still bette r than[] [] Overfull \hbox (64.49643pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 ask the user, or guess, which T_p-a_p you think will have th e smallest kernel![] [] Overfull \hbox (32.9967pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 computing dim(ker(T_2)) and getting different answers on dif ferent runs?[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > June 7-11 writing a paper on component groups. I have a way to[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > compute the numbers c_p appearing in the BSD conjecture fo r quotients[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > A_f of J_0(N). I'm writing it up nicely with examples, bu t it's[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 My experience is, just write and get it over with. I am very bad at[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 this, hence I have e.g. a paper that I started writing 2 yea rs ago,[] [] Overfull \hbox (22.4968pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 never finished, and now not only do I have to do all the bor ing things[] [] [1 ] Overfull \hbox (17.24684pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 I knew that Helena was going to turn 30 around now (it was a lways her[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 birthday during exams, and Cambridge exams are going on righ t now;[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 also I am a few months older than her and I am 30 now) but I hadn't[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 the marking of some other exams, and doing lots of other ted ious tasks![] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 No time at all for maths! Having a job is really bad! But on e good[] [] Overfull \hbox (11.99689pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 thing about it is that in 3 weeks I'll have finished the mar king and[] [] Overfull \hbox (11.99689pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 The thing about p=2 is that I think already several things a re known[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 when it comes to level-lowering. Putting these things togeth er with[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 The thing is, Dickenson still has conditions on his result e .g. he[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 needs the repn to be semi-stable at all primes and blah blah blah.[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 so I was in no hurry to do anything. But now hearing that Fu jiwara[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 we should get a move on---after all, it won't be too long a paper.[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > I will attempt to produce something about Artin in the nex t few days.[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > Helena is going to be in Denmark working with Ian Kimming so she[] [] Overfull \hbox (32.9967pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 > keeps asking me about Artin's conjecture so at least she'l l be into it[] [] Overfull \hbox (1.49698pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 Yeah, Kiming will be very interested---he's interested in re pns to[] [] Overfull \hbox (43.49661pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 GL_2(C) and Helena seems to be getting interested in repns t o GL_2(finite)[] [] Overfull \hbox (6.74693pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 Sorry to ask you to start, but I firmly believe that if we b oth put[] [] Overfull \hbox (17.24684pt too wide) in paragraph at lines 107--107 []\OT1/cmtt/m/n/10 our minds to it it could be over within days (I'll find time somehow,[] [] [2] (kev_jun7_99.aux) ) Here is how much of TeX's memory you used: 196 strings out of 10898 1939 string characters out of 72048 49156 words of memory out of 263001 3199 multiletter control sequences out of 10000+0 3808 words of font info for 15 fonts, out of 200000 for 1000 15 hyphenation exceptions out of 1000 23i,4n,17p,145b,300s stack positions out of 300i,100n,500p,30000b,4000s Output written on kev_jun7_99.dvi (2 pages, 6332 bytes).