<html><body><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000"><div> <!--StartFragment--><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">Dear All,</div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><br></div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">This week in Izmir Institute of Technology Math Department seminars, Dr. Enis Kaya of KU Leuven will give us a talk. </div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><br></div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><strong>Date and time:</strong><span> </span>Wednesday, 29/11/2023 at 15:30</div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><strong>Venue: </strong>Math Department Seminar Room</div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><br></div><div style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;" data-mce-style="color: #000000; font-family: arial, helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><strong>Title:<span> </span></strong><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US">A journey into the world of p-adic heights</span></span><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US"> </span></span></p><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US"><strong>Abstract:</strong><span> </span>In Diophantine geometry, height functions measure the “size” of rational points on algebraic varieties. Such functions play </span>a central role in <span lang="EN-US">defining and </span>computing several interesting invariants in arithmetic geometry.<span lang="EN-US"></span></span></p><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US"> </span></span></p><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US">A p-adic height function can be regarded as a “local” analogue of a classical height function, where p is a prime number, and there are several p-adic height functions in the literature. In this talk, we will journey into the world of p-adic heights. In particular, we will discuss the relationships among different p-adic heights and algorithms to compute them numerically.</span></span></p><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US"></span></span><br></p><p class="MsoNormal" style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: rgb(0, 0, 0); font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: rgb(255, 255, 255);" data-mce-style="margin: 0px; font-size: 11pt; font-family: calibri, sans-serif; color: #000000; font-style: normal; font-weight: 400; letter-spacing: normal; text-indent: 0px; text-transform: none; word-spacing: 0px; white-space: normal; background-color: #ffffff;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12pt;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt;"><span lang="EN-US"></span></span><br></p><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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; 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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; 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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; 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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; background-color: #ffffff;">Best regards,</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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; background-color: #ffffff;">Dr. Faruk Temur</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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; background-color: #ffffff;">Department of Mathematics</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; word-spacing: 0px; white-space: normal; background-color: #ffffff;" data-mce-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; word-spacing: 0px; white-space: normal; background-color: #ffffff;">Izmir Institute of Technology</div></div><!--EndFragment--> </div></div></body></html>