<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="ltr"><br></div><div dir="ltr">Değerli liste üyeleri,<br><br>Önümüzdeki hafta Bob Oliver Bilkent Üniversitesi'nde misafirimiz olacak. </div><div dir="ltr">Bilkent Topoloji Seminer'inde aşağıda detaylarını bulabileceğiniz konuşmayı </div><div dir="ltr">yapacak. İlgilenen herkesi bekleriz.</div><div dir="ltr"><br></div><div dir="ltr">Ergün Yalçın</div><div dir="ltr"><br></div><div dir="ltr"><br></div><div dir="ltr"><br></div><div dir="ltr">———————————— </div><div dir="ltr"><br>Title: Realizability and tameness of fusion systems by Bob Oliver (Université Sorbonne Paris Nord)<br><br>Abstract: A saturated fusion system over a finite p-group S is a category whose objects are the subgroups of S and whose morphisms are injective homomorphisms between the subgroups satisfying certain axioms. A saturated fusion system F over S is realizable if there is a finite group G with Sylow p-subgroup S such that the morphisms in F are exactly those induced by conjugation in G. A normal fusion subsystem in F is centric in F if it contains its centralizer in F. I will describe recent work with Carles Broto, Jesper Møller, and Albert Ruiz, where we show among other results that a saturated fusion system F is realizable if there is a normal, realizable subsystem E in F that is centric in F. Another result is that every realizable fusion system F is tame; i.e., realizable by a finite group that has “just as many” automorphisms as F (to be made precise). Stated in such terms, these results depend on the classification of finite simple groups, but I will also give more precise statements formulated in such a way that their proofs are independent of the classification.</div><div dir="ltr"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);"><br></span></div><div dir="ltr"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);">Date: Monday, May 6, 2024</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);">Time: 13:30-14:30 </span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);">Place: SA141 Math Department Seminar Room </span></div><div dir="ltr"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);"><br></span></div><div dir="ltr"><font color="#000000">———————————</font></div></body></html>