<div dir="ltr"><div><span style="color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline">Sayın Liste Üyeleri,</span><span style="color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline"> </span><br></div><div><span style="color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline"><br></span></div><div><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit">Gebze Teknik Üniversitesi (GTÜ) Matematik Bölümü Genel Seminerleri kapsamında, 6 Kasım Cuma günü saat 14:00'te<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"> </span></span><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><b> Prof. Dr. Muhammed Uludağ </b><span style="font-weight:inherit"> (Galatasaray Üniversitesi</span></span><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><span style="font-style:inherit">)</span><span style="margin:0px;padding:0px;border:0px;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><i>  </i></span></span><span style="margin:0px;padding:0px;border:0px;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><i><font face="Times New Roman, Times, serif">“</font><font face="times new roman, serif"> </font></i></span><span style="margin:0px;padding:0px;border:0px;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit">

<span style="color:rgb(0,0,0)"><font face="times new roman, serif" style=""><i>Mapping class groupoids and Thompson’s groups</i></font></span><font face="Times New Roman, Times, serif"> </font><i style="font-family:"Times New Roman",Times,serif">”  </i></span><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit">başlıklı bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir. </span><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"> </span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak için aşağıdaki linki kullanabilirsiniz:</span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><a href="https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1604326762130?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d" target="_blank" rel="noopener noreferrer" style="margin:0px;padding:0px;border:0px;font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;vertical-align:baseline">https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1604326762130?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d</a><br style="font-size:15px"></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="color:black;font-family:"Times New Roman",Times,serif;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit">Seminere bağlanırken aşağıdaki pencereyi görürseniz,  </span><br></p><div><div style="margin:0px;padding:0px 0px 20px;width:1292.01px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:medium"><div><div id="gmail-m_7023765849126158304gmail-m_7125744001494289074gmail-m_6627495338753105945gmail-:vu" style="font-size:0.875rem;direction:ltr;margin:8px 0px 0px;padding:0px"><div id="gmail-m_7023765849126158304gmail-m_7125744001494289074gmail-m_6627495338753105945gmail-:vv" style="overflow:hidden;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif"><div dir="ltr"><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;font-size:11pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><br></p><div><img src="cid:ii_kfs6ydpf0" alt="image.png" width="327" height="165" class="gmail-CToWUd gmail-a6T" tabindex="0" style="cursor: pointer; outline: 0px;"><span style="color:black;font-family:"Times New Roman",Times,serif;font-size:12pt;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit;text-align:center"> </span><br></div><p align="center" style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;font-size:11pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;text-align:center"><br></p></div></div></div></div></div></div><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black">lütfen</span><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black"><b><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"> </span>Allow (İzin ver) </b></span><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black">seçeneğine tıklayınız. Bu sizin toplantıya kamera ve mikrofonunuzla bağlanabilmenizi sağlar.</span><br></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",serif;vertical-align:baseline;color:black"><br></span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black">Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.</span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",serif;vertical-align:baseline;color:black"><br></span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="Times New Roman, serif"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.</span></font></p><br style="color:rgb(32,31,30)"><p style="margin-top:0px;margin-bottom:0px;color:rgb(32,31,30)"></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Saygılarımızla.</span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit"> </span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><br></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Dear all,</span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit"> </span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><span style="font-style:inherit;font-variant:inherit;color:inherit;font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline"><b> Prof. Dr. Muhammed Uludağ </b><span style="font-weight:inherit"> </span></span><font face="times new roman, serif"><b> </b></font></span><span style="font-family:"Times New Roman",Times,serif;margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit">from Galatasaray University will give a talk titled<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"> </span></span><span style="font-family:"Times New Roman",Times,serif;color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline">

<span style="font-variant:inherit;font-weight:inherit;color:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline"><i><font face="Times New Roman, Times, serif">“</font><font face="times new roman, serif"> </font></i></span><span style="font-variant:inherit;font-weight:inherit;color:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline">

<span style="color:rgb(0,0,0)"><font face="times new roman, serif"><i>Mapping class groupoids and Thompson’s groups</i></font></span><font face="Times New Roman, Times, serif"> </font><i>”</i></span>  on November 6th , at 14:00.</span><span style="font-family:"Times New Roman",Times,serif;color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline"> All interested are invited.</span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><font face="times new roman, serif"><span style="color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;vertical-align:baseline"><span style="color:rgb(0,0,0)">Abstract:</span></span><span style="color:inherit;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit">We concoct a uniform treatment of mapping class groups with Thompson’s groups and to generalize them. We give a description of the outer automorphism group of free groups as the isotropy group of</span><span style="font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;color:inherit;margin:0px;padding:0px;border:0px;vertical-align:baseline"> </span><span style="color:inherit;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit">a groupoid, akin to the mapping class groupoid of Penner. We also illustrate some arithmetic aspects of these groupoids.</span></font></p><div style="margin:0px;padding:0px;border:0px;font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:rgb(0,0,0)"><font face="times new roman, serif" style="">(Joint work with Ayberk Zeytin)</font></div><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="color:inherit;font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline"><br></span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Microsoft Teams platform will be used for the seminar. To join the seminar, please use the following link:</span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><a href="https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1604326762130?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d" target="_blank" rel="noopener noreferrer" style="margin:0px;padding:0px;border:0px;font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;vertical-align:baseline">https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1604326762130?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d</a><br style="font-size:15px"></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black">If you see the following window when connecting to the seminar,  </span></span><br></p><div><img src="cid:ii_kfs6ydpv1" alt="image.png" width="327" height="165" class="gmail-CToWUd gmail-a6T" tabindex="0" style="cursor: pointer; outline: 0px;"><br></div><p align="center" style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;text-align:center;font-family:Calibri,sans-serif"><b><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",serif;vertical-align:baseline;color:black"></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black"> </span></b></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-family:Calibri,sans-serif"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black">please select</span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:bold;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",serif;vertical-align:baseline;color:black"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit"> </span></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:bold;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black"><b>Allow</b></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black"><b>.<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"> </span></b>Then you will be able to use your microphone and camera during the seminar. </span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-family:Calibri,sans-serif"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:black"><br></span></p><p style="margin-top:0px;margin-bottom:0px;color:rgb(32,31,30)"></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:rgb(0,0,0)">Please use your real and complete name when you enter the system.</span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Please switch your microphone off unless you are speaking.</span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit"><br></span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);font-family:Calibri,sans-serif;line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif;vertical-align:baseline;color:inherit">Sincerely</span></p></div></div>