<div dir="ltr"><br clear="all"><div><br></div><div style=""><div style="font-family:Arial,Helvetica,sans-serif,serif,EmojiFont;font-size:small"><div style="min-height:1em"><font style="font-family:tahoma,sans-serif,serif,EmojiFont"><font style="color:rgb(0,0,0)"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">Sayın Liste Üyeleri,</span></font></font></div><div style="min-height:1em"><font style="font-family:tahoma,sans-serif,serif,EmojiFont"><font style="color:rgb(0,0,0)"><br></font></font></div><div style="min-height:1em"><font style="font-family:tahoma,sans-serif,serif,EmojiFont"><font style="color:rgb(0,0,0)"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">Hacettepe Üniversitesi Matematik Bölümü </span><span class="gmail-x_x_currentHitHighlight" id="gmail-x_x_0.019807808455092335" name="x_x_searchHitInReadingPane" style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">genel</span><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt"> </span><span class="gmail-x_x_highlight" id="gmail-x_x_0.4594894601924153" name="x_x_searchHitInReadingPane" style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">seminer</span><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">leri</span><span style="font-family:Cambria,Georgia,serif,serif,EmojiFont"><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"> kapsamında, </span><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">31</span></span><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt"> Mayıs 2023 tarihinde </span></font><font color="#000000"><span style="font-family:Cambria,Georgia,serif,serif,EmojiFont"><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">saat 15:00'te, Zoom üzerinden Rennes Üniversitesi</span><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">'nden Jade Nardi</span></span></font><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">'nin</span><font color="#000000"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt"> vereceği </span></font><font style="color:rgb(0,0,0)"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">''</span></font></font><b style="color:rgb(15,20,25);font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:11pt;white-space:pre-wrap"><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"></span><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small">Error correction from toric varieties: toric codes and their locality</span></b><b style="white-space:pre-wrap;font-family:tahoma,sans-serif,serif,EmojiFont;color:rgb(0,0,0)"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">'</span></b><font color="#000000" style="white-space:pre-wrap;font-family:tahoma,sans-serif,serif,EmojiFont"><span style="font-family:Cambria,Georgia,serif,serif,EmojiFont"><span style="font-weight:bold;font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">'</span><b><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"> </span></b><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">başlıklı konuşmaya ilgilenen herkesi</span></span></font><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt;white-space:pre-wrap;color:rgb(0,0,0)"> bekleriz. Konuşma özeti ve zoom bağlantı bilgileri aşağıda yer almaktadır.</span></div><div style="min-height:1em;color:rgb(0,0,0)"><br></div><div style="min-height:1em;color:rgb(0,0,0)"><font style="font-family:tahoma,sans-serif,serif,EmojiFont"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">Saygılarımla,</span></font></div></div><div style="font-family:Arial,Helvetica,sans-serif,serif,EmojiFont;font-size:small;min-height:1em;color:rgb(0,0,0)"><font style="font-family:tahoma,sans-serif,serif,EmojiFont"><br></font></div><div style="min-height:1em;color:rgb(0,0,0)"><font style="" size="1" face="monospace">Prof. Dr. Aslı Pekcan Yıldız</font></div><div style="min-height:1em;color:rgb(0,0,0)"><font style="" size="1" face="monospace">Seminer Koordinatörü</font></div><div style="font-family:Calibri,Helvetica,sans-serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:16px;min-height:1em;color:rgb(0,0,0)"><font face="Constantia, Hoefler Text, serif, serif, EmojiFont"><span style="font-size:13.3333px">---------------------------------------------------------------------------------------------------------------</span></font></div><div style="font-family:Calibri,Helvetica,sans-serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;min-height:1em;color:rgb(0,0,0)"><font face="Constantia, Hoefler Text, serif, serif, EmojiFont" style=""><a href="https://www.google.com/url?q=https://us06web.zoom.us/j/87472510662?pwd%3DaHc3ajdYVnJFL2dKWkVWU2trUFBnQT09&sa=D&source=calendar&usd=2&usg=AOvVaw3ilk0OuxoVKW28IZoyf39u" target="_blank" title="https://www.google.com/url?q=https://us06web.zoom.us/j/87472510662?pwd%3DaHc3ajdYVnJFL2dKWkVWU2trUFBnQT09&sa=D&source=calendar&usd=2&usg=AOvVaw3ilk0OuxoVKW28IZoyf39u
Ctrl+Bağlantıyı izlemek için tıklayın veya dokunun" style="font-family:Roboto,Helvetica,Arial,sans-serif;background-color:rgb(241,243,244)"><span style="background-color:rgb(255,255,255)">https://us06web.zoom.us/j/</span><span style="background-color:rgb(255,255,255)">87472510662?pwd=</span><span style="background-color:rgb(255,255,255)">aHc3ajdYVnJFL2dKWkVWU2trUFBnQT</span><span style="background-color:rgb(255,255,255)">09</span></a><br style="color:rgb(60,64,67);font-family:Roboto,Helvetica,Arial,sans-serif;background-color:rgb(241,243,244)"><span style="color:rgb(60,64,67);font-family:Roboto,Helvetica,Arial,sans-serif">Toplantı Kimliği: 874 7251 0662</span><br style="color:rgb(60,64,67);font-family:Roboto,Helvetica,Arial,sans-serif;background-color:rgb(241,243,244)"><span style="color:rgb(60,64,67);font-family:Roboto,Helvetica,Arial,sans-serif">Parola: 258177</span></font></div><div style="font-family:Calibri,Helvetica,sans-serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:16px;min-height:1em;color:rgb(0,0,0)"><font face="Constantia, Hoefler Text, serif, serif, EmojiFont"><span style="font-size:13.3333px"><span style="color:rgb(60,64,67);font-family:Roboto,Helvetica,Arial,sans-serif;font-size:10pt"></span></span></font><span style="color:rgb(34,34,34);font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">------------------------------</span><span style="color:rgb(34,34,34);font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">----------------------------------------------------------------------------------------</span></div></div><div style="color:rgb(0,0,0);font-size:16px;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"><div class="gmail-x_x_x_gmail_attr"><b style="color:rgb(34,34,34);font-family:tahoma,sans-serif,serif,EmojiFont;font-size:small"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">Konuşmacı</span></b><span style="color:rgb(34,34,34);font-size:11pt">: Jade Nardi</span><div style="color:rgb(34,34,34);font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:small"><b style="font-family:tahoma,sans-serif"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt">Konuşma Başlığı</span></b><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">: </span><span style="font-family:tahoma,sans-serif,serif,EmojiFont;font-size:13.3333px"><span style="color:rgb(15,20,25);font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:10pt;white-space:pre-wrap"><span style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont;font-size:11pt"><span style="font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:11pt"><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small">Error correction from toric varieties: toric codes and their locality</span></span></span></span></span><br></div><div><span style="color:rgb(34,34,34);font-family:tahoma,sans-serif,serif,EmojiFont;font-size:13.3333px"><span style="color:rgb(15,20,25);font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:10pt;white-space:pre-wrap"><span style="font-size:small"><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"><b>Konuşma Özeti: </b></span></span></span></span><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif,serif,EmojiFont;font-size:small;white-space:pre-wrap"></span><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small">All the signals sent through noisy communication channels (telephone, radio waves, Internet optical fibre...) are likely to be degraded during the transmission. To make sure that the messages sent are correctly received, we use a tool that is omnipresent in today's telecommunications, which is at the frontier between mathematics and computer science: error-correcting codes. In this talk, we will focus on linear error-correcting codes. Mathematically speaking, these are just vector spaces over a finite field. Their structure ensures that, even if errors occur during transmission, the receiver of the message can detect and even correct them.</span><br style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small"><span style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small">In this talk, we will be interested in toric codes, which are a family of linear error-correcting codes that comes from algebraic geometry and combinatorics. They consist of vector spaces spanned by the evaluation of some monomials at the elements of a finite field. When evaluating univariate polynomials of bounded degree, we get the well-known Reed-Solomon codes, which have optimal correction capability and efficient decoding algorithms. By allowing multivariate polynomials, efficiency parameters may deteriorate, and the decoding is much less obvious. However, for a given base field, we get longer codes and, above all, we gain locality, i.e. the possibility to correct a symbol by accessing a few other symbols of a codeword. After giving a short presentation about linear error-correcting codes and introducing toric codes, we will present how toric codes are naturally endowed with locality and how this property can be used for applications to information theory.</span><span style="color:rgb(34,34,34);font-family:tahoma,sans-serif,serif,EmojiFont;font-size:13.3333px"><span style="color:rgb(15,20,25);font-family:Cambria,Georgia,serif,serif,EmojiFont;font-size:10pt;white-space:pre-wrap"><span style="font-size:small"><span style="font-size:11pt;font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont"><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif,serif,EmojiFont;font-size:small"></div></span></span></span></span></div></div></div><br class="gmail-Apple-interchange-newline"></div>