<div dir="ltr"><div class="gmail-adn gmail-ads" style="border-left:none;padding:0px;display:flex;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:medium"><div class="gmail-gs" style="margin:0px;padding:0px 0px 20px;width:1290.67px"><div class="gmail-"><div id="gmail-:141" class="gmail-ii gmail-gt" style="font-size:0.875rem;direction:ltr;margin:8px 0px 0px;padding:0px"><div id="gmail-:140" class="gmail-a3s gmail-aiL" 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">Dear  all,<div><br></div><div>On 09.12.2020  at 13:00 p.m,  Assoc.Prof. Aybike Özer from  Istanbul Technical University will give a talk  at weekly seminars in Mathematics Department of Istanbul University. The title and the abstract are below. The seminar will be held online via the Zoom program. Those who want to participate should send an e-mail to "<a href="mailto:huseyinuysal@istanbul.edu.tr" target="_blank">huseyinuysal@istanbul.edu.tr</a>"  in order to receive the Zoom meeting ID and Passcode.<br></div><div><br></div><div>---------------------------------------------------------------------------------------------------------------</div><div><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;vertical-align:baseline;font-size:11pt;font-family:Calibri,sans-serif"><b style="color:rgb(0,0,0)"><span lang="EN-GB" style="font-size:9pt;border:1pt none windowtext;padding:0cm">Title :</span></b><span lang="EN-GB" style="color:rgb(0,0,0);font-size:9pt;font-family:Helvetica,sans-serif"> </span><span style="color:red;font-size:9pt;font-family:Helvetica,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"> </span><span style="font-family:Arial,Helvetica,sans-serif;font-size:small"><b>CLASSICAL YANG-BAXTER EQUATION EMERGING FROM THEORIES OF GRAVITY</b></span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;vertical-align:baseline;font-size:11pt;font-family:Calibri,sans-serif"><font color="#000000"><br></font></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;text-align:justify;line-height:normal;font-size:11pt;font-family:Calibri,sans-serif"><font color="#000000"><span style="font-size:11pt"><span lang="EN-GB" style="font-size:9pt;line-height:13.8px"><b>Abstract: </b></span></span></font><span style="font-family:Arial,Helvetica,sans-serif;font-size:small">Given a Lie algebra with an endomorphism that satisfies the Classical Yang-Baxter equation, one can construct a Lie bialgebra and its Drinfeld double. On a group manifold with an ad-invariant metric, such an endomorphism leads naturally to a Poisson structure. We will describe how this Poisson structure can be utilized to construct O(d,d) and Spin(d,d) transformations, that act on certain geometric theories of gravity as solution generating transformations. If time allows, we will also talk about the analogous story for Lie algebroids and Courant algebroids which, in a certain sense, are Drinfeld doubles for Lie bialgebroids.</span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:16.8667px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;vertical-align:baseline;font-size:11pt;font-family:Calibri,sans-serif"><font color="#000000"><span style="font-size:9pt;line-height:13.8px;font-family:Helvetica,sans-serif">----------------------------------------------------------------------------------------------------------------------------</span></font></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:16.8667px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;vertical-align:baseline;font-size:11pt;font-family:Calibri,sans-serif"><font color="#000000"><span style="font-size:9pt;line-height:13.8px;font-family:Helvetica,sans-serif"><br></span></font></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:16.8667px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;vertical-align:baseline;font-size:11pt;font-family:Calibri,sans-serif"><font color="#000000"><span style="font-size:9pt;line-height:13.8px;font-family:Helvetica,sans-serif">Best wishes</span></font></p><font color="#888888"><font color="#888888"><p cla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