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</o:shapelayout></xml><![endif]--></head><body lang=TR link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoPlainText>Değerli liste üyeleri,<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoNormal>Bilkent Topoloji seminerlerinde 9 Nisan'da Ergün Yalçın (Bilkent) konuşmacı olacaktır. İlgilenen herkes davetlidir. <o:p></o:p></p><p class=MsoPlainText> <o:p></o:p></p><p class=MsoPlainText>“<a href="http://www.fen.bilkent.edu.tr/~cvmath/tr/seminars/2018Spring/09042018.pdf"><span style='color:windowtext;text-decoration:none'>A survey on constructing free actions on products of spheres</span></a>”<o:p></o:p></p><p class=MsoPlainText><span class=MsoHyperlink><span style='color:windowtext;text-decoration:none'>Ergün Yalçın (Bilkent)<o:p></o:p></span></span></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoNormal>Abstract: <span class=MsoHyperlink><span style='color:windowtext;text-decoration:none'>I will give a survey of problems and recent results on constructing free actions on products of spheres. The rank conjecture, due to Benson and Carlson, states that a finite group G acts freely and cellularly on a finite complex X homotopy equivalent to a product of k spheres if and only if the rank of G is less than or equal to k. This conjecture is known to be true for k=1 by classical Smith theory and by a theorem of Swan. For k=2 it is proved by Adem and Smith, and Jackson that if a rank two finite group does not involve the group Qd(p) for any odd prime p, then it acts freely and cellularly on a finite complex X homotopy equivalent to a product of two spheres. I will discuss what is known for the remaining case G=Qd(p). The most recent results that I will present are joint work with Cihan Okay. I will also mention some earlier work joint with Ozgun Unlu and with Ian Hambleton.<o:p></o:p></span></span></p><p class=MsoNormal><span class=MsoHyperlink><span style='color:#1F497D;text-decoration:none'><o:p> </o:p></span></span></p><p class=MsoPlainText>Tarih: <span class=MsoHyperlink><span style='color:windowtext;text-decoration:none'>9 Nisan 2018 Pazartesi, 13:40 Bilkent</span></span> Matematik Bölümü Seminer Odası SA - 141 <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Konuşma sonrasında çay-kurabiye ikramı yapılacaktır. <o:p></o:p></p><p class=MsoPlainText> <o:p></o:p></p><p class=MsoPlainText><a href="https://twitter.com/Bilkent_math">https://twitter.com/Bilkent_math</a><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>İ. D. Bilkent Üniversitesi Matematik Bölümü<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>