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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">Sayšn liste üyeleri,<o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">Gebze Teknik Üniversitesi, Matematik Bölümü Genel Seminerleri kapsamšnda,<o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">6 Mayšs Cuma günü saat 14:00'da Dr. Mehmet Akif ERDAL<br style="">

(Bilkent Üniversitesi) Matematik Bölümü seminer salonunda bir seminer<o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">verecektir. Seminerin detaylarš aşaťšda olup tüm ilgilenenler davetlidir.<o:p style=""></o:p></span></p>

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<span style="font-family: 'Times New Roman', Times, serif;"><span style="font-size: 10pt;">Başlšk      :  </span><span style="font-size: 10pt; color: rgb(33, 33, 33);">On semigroup actions, inverse actions and Burnside ring</span><span style="font-size: 10pt;"><o:p style=""></o:p></span></span></p>

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<span style="font-family: 'Times New Roman', Times, serif;"><span style="font-size: 10pt;">Özet        :  </span><span style="font-size: 10pt; color: rgb(33, 33, 33);">In this talk I will discuss new constructions of semigroup actions and monoid actions on

 sets via biactions, and introduce a method to invert such an action by using them. This point of view allow us to use homotopy theory in the category of semigroup actions, and allow us to construct Burnside ring of a monoid. I will show that for groups this

 Burnside ring coincides to the usual one, and will show that for a commutative monoid it is equivalent to Burnside ring of its Gröthendieck group. Finally, I will discuss some applications in Automata theory. This is a joint work with Özgün Ünlü.</span><span style="font-size: 10pt;"><o:p style=""></o:p></span></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">Saygšlaršmšzla,</span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;"> <o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;"><o:p> </o:p></span></p>

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</o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">Dear all,<o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">There will be a seminar in Gebze Technical University  on 6st of<br style="">

May by  Dr. Mehmet Akif ERDAL (Bilkent University)<br style="">

Time  and  place:  At 14:00 in Department of Mathematics  Building I, Auditorium.<o:p style=""></o:p></span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">                  <o:p style=""></o:p></span></p>

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<span style="font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Title      :  </span><span style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; color: rgb(33, 33, 33);">On semigroup actions, inverse actions and Burnside ring</span></p>

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<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">Abstract : </span><span style="font-size: 10pt; color: rgb(33, 33, 33); font-family: 'Times New Roman', Times, serif;">In this talk I will discuss new constructions of semigroup actions and

 monoid actions on sets via biactions, and introduce a method to invert such an action by using them. This point of view allow us to use homotopy theory in the category of semigroup actions, and allow us to construct Burnside ring of a monoid. I will show that

 for groups this Burnside ring coincides to the usual one, and will show that for a commutative monoid it is equivalent to Burnside ring of its Gröthendieck group. Finally, I will discuss some applications in Automata theory. This is a joint work with Özgün

 Ünlü.</span><span style="font-size: 10pt; font-family: Calibri, Arial, Helvetica, sans-serif;"><o:p style="font-family: Calibri, Arial, Helvetica, sans-serif;"></o:p></span></p>

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