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<span style="font-family:Constantia,serif"><br>
Değerli liste üyeleri,</span><br style="font-family:Constantia,serif">
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MSGSÜ Matematik Bölümü Genel Seminerlerinde bu hafta </span></div>
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<span style="font-family:Constantia,serif">konuşmacımız Bilkent Üniversitesi Matematik Bölümünden </span></div>
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<span style="font-family:Constantia,serif">Matthew Gelvin.</span></div>
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<span style="font-family:Constantia,serif">Konuşma özeti aşağıdaki gibidir.</span></div>
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<span style="font-family:Constantia,serif">Seminerde görüşmek üzere,</span></div>
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<span style="font-family:Constantia,serif">İpek Tuvay</span><br style="font-family:Constantia,serif">
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<span style="font-family:Constantia,serif">Title: Minimal characteristic bisets of saturated fusion systems<br>
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Abstract: The fusion system of a finite group is an organization<br>
framework for understanding the p-local structure of that group. The data<br>
are encoded in a category with objects the subgroups of a fixed p-group S,<br>
and morphisms certain group injections that mimic conjugation<br>
homomorphisms induced by an absent ambient group. It can be seen as an<br>
algebraic structure in its own right, one which serves as a bridge between<br>
the fields of local group theory, modular representation theory, and<br>
algebraic topology.<br>
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In this talk I will discuss joint work with Sune Reeh, in which we<br>
parameterize the characteristic bisets of a saturated fusion system. A<br>
characteristic biset can be thought of a collection of abstract group<br>
elements that conjugate subgroups of S in such a way to recreate the<br>
original fusion system. It turns out that there is a simple<br>
parameterization of these bisets, and as a consequence we discover the<br>
existence of a unique minimal characteristic biset for any saturated<br>
fusion system.<br>
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<font style="font-family:Constantia,serif">MSGSÜ Bomonti Kampüsü,</font></div>
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<font style="font-family:Constantia,serif">Matematik Bölümü Seminer Odası</font><font style="font-family:Constantia,serif"><br>
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<font style="font-family:Constantia,serif">21.04.2016, Perşembe, 17:00.</font></div>
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