<div dir="ltr"><div class="gmail_quote"><div dir="ltr"><span style="font-size:14px;border-collapse:collapse"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><div class="gmail_quote"><span style="border-collapse:collapse;font-family:arial,sans-serif;font-size:14px"><div style="padding-left:0px;padding-bottom:3px;padding-right:0px;padding-top:12px"><span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="font-size:small"><font color="#000000"><span><span style="background-color:rgb(255,255,255)">Kobe</span></span></font></span></span></span></span></span></span></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"> </span></font></span><span style="background-image:initial"><span><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="font-size:small"><font color="#000000"><span><span style="background-color:rgb(255,255,255)">Colloquium</span></span></font></span></span></span></span></span></span></span></span></span></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"> on Logic, Statistics and Informatics </span></font></span></span></span></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></span></div><div style="direction:ltr;margin-top:5px;margin-right:15px;margin-bottom:0px;margin-left:0px;padding-bottom:5px"><div><div dir="ltr"><span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><div><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></span></div><div><span style="font-family:arial,sans-serif;border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">以下の要領で</span></font></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">コロキウム</span></font></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">を開催します。</span></font></span></span></div><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></span></span></font></div><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">日時:</span></font></span></span></font><span style="font-family:arial,sans-serif;border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">2014年1月27日(火)</span></font></span></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">13:20-14:50</span></font></span></div></span></span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><div style="display:inline!important"><span style="font-size:small"><span style="background-color:rgb(255,255,255)"><font color="#000000"></font></span></span><font face="arial, sans-serif"><span style="border-collapse:collapse"><div style="display:inline!important"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">講演者:Monroe Eskew (筑波大学)</span></font></span></div></span></font></div></span></span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">場所:神戸大学自然科学総合研究棟3号館4階421室(プレゼンテーション室)</span></font></span></span></font></div><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></span></span></font></div></span></span></span><span><div><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">============================================================</span></font></span></div></span><span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><div><font face="arial, sans-serif"><span style="border-collapse:collapse"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></span></span></font></div></span></span><span style="border-collapse:collapse;font-family:arial,sans-serif"><span style="font-family:arial,sans-serif;border-collapse:collapse"><div><font face="arial, sans-serif"><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)"><span style="border-collapse:collapse"></span></span></font></span></font></div></span></span></span></div></div></div></span><span style="font-size:small"><font color="#000000"><span style="background-color:rgb(255,255,255)">題目: </span></font></span></div></span><font face="arial, sans-serif"><span style="border-collapse:collapse"><span><font color="#000000"><span style="background-color:rgb(255,255,255)"><span style="color:rgb(34,34,34)">A global version of Chang’s conjecture</span></span></font></span></span></font></span><div><span style="font-size:14px;border-collapse:collapse"><font face="arial, sans-serif"><span style="border-collapse:collapse"><span><font color="#000000"><span style="background-color:rgb(255,255,255)"><font color="#222222"><br></font></span></font></span></span></font><span style="border-collapse:collapse;font-family:arial,sans-serif"><div class="gmail_quote"><font color="#000000"><span style="background-color:rgb(255,255,255)">アブストラクト:</span></font></div></span><span style="border-collapse:collapse;font-family:arial,sans-serif"><div class="gmail_quote"><font color="#000000"><span style="color:rgb(34,34,34)">In the 80s, Foreman showed the consistency of (aleph_{n+1},aleph_n) —>> (aleph_{m+1},aleph_m) holding simultaneously for all natural numbers n > m, starting from a 2-huge cardinal.  He asked whether a global version of Chang’s conjecture is consistent.  We answer this, showing that it is consistent from the same hypothesis that for all pairs of regular cardinals mu < kappa, (kappa^+,kappa) —>> (mu^+,mu).  The method uses a relatively simple forcing iteration, and it answers some technical questions raised by Shioya.  We also discuss some related issues about singular cardinals.</span><br></font></div><div class="gmail_quote"><font color="#000000"><span style="color:rgb(34,34,34)"><br></span></font></div><div class="gmail_quote"><span style="border-collapse:collapse;font-family:arial,sans-serif"><div><div><div><font color="#000000"><span style="background-color:rgb(255,255,255)">============================================================</span></font></div></div><div><font color="#000000"><span style="background-color:rgb(255,255,255)"><br></span></font></div></div><div><font color="#000000"><span style="background-color:rgb(255,255,255)">交通:阪急六甲駅またはJR六甲道駅から神戸市バス36系統「鶴甲団地」<br>行きに乗車,「神大本部工学部前」停留所下車,徒歩すぐ.<br></span></font><a href="http://www.kobe-u.ac.jp/info/access/rokko/rokkodai-dai2.htm" style="color:rgb(17,85,204)" target="_blank"><font color="#000000"><span style="background-color:rgb(255,255,255)">http://www.</span></font><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><span style="background-image:initial"><font color="#000000"><span><span style="background-color:rgb(255,255,255)">kobe</span></span></font></span></span></span></span></span></span><font color="#000000"><span style="background-color:rgb(255,255,255)">-u.ac.jp/info/access/rokko/rokkodai-dai2.htm</span></font></a></div></span></div></span></span></div></div>
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