<html><body><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000"><div><br data-mce-bogus="1"></div><div data-marker="__QUOTED_TEXT__"><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000"><div><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000"><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">Dear all,<br><div><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000"><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000"><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><br></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff">Tuesday, April 19 at 14:30, there will be a hybrid mathematics seminar:</div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><br></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><div style="color:#000000;font-family:'roboto' , 'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><strong style="font-weight:bold">Speaker:</strong> Christian Lomp (University of Porto)<br><strong style="font-weight:bold">Title:</strong> Dimension theory for rings and modules<br><strong style="font-weight:bold">Time:</strong> 19/04/2022, 14:30</div><div style="color:#000000;font-family:'roboto' , 'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><p class="p1" style="margin:0px;font-family:'roboto slab' , serif;line-height:21.28px;color:rgb( 81 , 85 , 86 );font-weight:300;text-align:justify"><strong style="font-weight:400;color:#352639">Abstract: </strong> The dimension of a vector space is an elementary and crucial<br>concept in linear algebra. The lack of a basis in a module has lead to<br>many alternative notions to measure the size and quality of rings and<br>their modules. We will survey some of these alternative notions, like<br>Global, Krull and Gelfand-Kirillov dimension, and will discuss when the<br>usual dimension formula holds for the Goldie dimension of modules over a<br>ring. The last part is based on a joint work with Edmund Puczylowski.</p><p class="p1" style="margin:0px;font-family:'roboto slab' , serif;line-height:21.28px;color:rgb( 81 , 85 , 86 );font-weight:300;text-align:justify"><br></p><p class="p1" style="margin:0px;font-family:'roboto slab' , serif;line-height:21.28px;color:rgb( 81 , 85 , 86 );font-weight:300;text-align:justify"><strong style="font-weight:400;color:#352639">Place: Hybrid, Z09 and </strong>Online, Microsoft Teams (Team code: 5cu6s0o)</p><p class="p1" style="margin:0px;font-family:'roboto slab' , serif;line-height:21.28px;color:rgb( 81 , 85 , 86 );font-weight:300;text-align:justify"><strong>To join the seminar please mail to <a href="mailto:haydargoral@iyte.edu.tr">haydargoral@iyte.edu.tr</a> </strong></p></div></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><br></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><br data-mce-bogus="1"></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff">Furthermore, we will have: <strong>Lectures on Rings, Modules and Algebras</strong> on April 22 and 25, (see the attached file for the details).</div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><br></div><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff"><div style="color:#000000;font-family:'arial' , 'helvetica' , sans-serif;font-size:16px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px"><span style="color:#000000;font-family:'segoe ui' , 'lucida sans' , sans-serif;font-size:14.15999984741211px;font-style:normal;font-weight:normal;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:#ffffff;text-decoration:none;display:inline !important;float:none">You are most cordially invited to attend.</span><br></div></div></div></div></div></div></div><br></div></div><br></div></div></body></html>