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              <div align="center"><big><b><big>Welcome to the 2024
                      Spring talks of ODTU-Bilkent Algebraic Geometry
                      Seminars</big></b></big><b><br>
                </b></div>
              <div align="center"><i>since 2000</i><br>
              </div>
              <div align="center"><b><b>=================================================================</b></b><br>
                <br>
                This week the <a
                  href="http://www.bilkent.edu.tr/~sertoz/agseminar.htm"
                  target="_blank" moz-do-not-send="true">ODTU-Bilkent
                  Algebraic Geometry Seminar</a>  is <b>online</b><br>
                <br>
                <i><font color="#ff00ff">This talk will begin at <u><b>15:40</b></u><u> (GMT+3)</u></font></i><br>
                <a
href="https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20240223T1540&p1=19&ah=1"
                  target="_blank" moz-do-not-send="true">Please check
                  your time difference between Ankara and your city here</a><br>
                <b>=================================================================</b></div>
              <div align="center">
                <div align="center"><img
                    src="cid:part1.VBDq0YXw.S0dMg2tl@bilkent.edu.tr"
                    alt="" class="" width="286" height="382"></div>
                <div align="center"><b><br>
                  </b><i>Edgar Degas (1834-1917)<br>
                    Self Portrait(1863)</i><br>
                </div>
                <div align="left"><b><b><font color="#ff0000">Speaker:</font><a
                        href="http://w3.balikesir.edu.tr/%7Epinarm/"
                        moz-do-not-send="true"> Pınar Mete</a><font
                        color="#ff0000"><font color="#000000"> <br>
                        </font></font></b></b><b><b><font
                        color="#ff0000">Affiliation: </font><i>Balıkesir</i></b></b><b><b><font
                        color="#ff0000"><br>
                        <br>
                        Title:<font color="#000000"> On some invariants
                          of the tangent cones of numerical semigroup
                          rings<br>
                        </font></font></b></b><b><b><font
                        color="#ff0000"><br>
                      </font></b></b></div>
              </div>
              <div align="left"><b><b><font color="#ff0000">Abstract:  </font></b></b>The
                minimal free resolution is a very useful tool for
                extracting information about modules. Many important
                numerical invariants of a module such as Hilbert
                function and Betti numbers can be deduced from its
                minimal free resolution. Stamate gave a broad survey on
                these topics when the modules are the semigroup ring or
                its tangent cone for a numerical semigroup S. He also
                stated the problem of describing the Betti numbers and
                the minimal free resolution for the tangent cone when S
                is 4-generated semigroup which is symmetric. In this
                talk, I will first give some of our results, based on a
                joint work with E.E. Zengin on the problem. Then, I will
                talk about our ongoing study which is an application<br>
                of the Apery table of the numerical semigroup to
                determine some properties of its tangent cone.<br>
                <br>
                DI. STAMATE, Betti numbers for numerical semigroup
                rings. Multigraded Algebra and Applications,<br>
                238, 133-157, Springer Proceedings in Mathematics and
                Statistics, Springer, Cham 2018.<br>
                <b><b><font color="#ff0000"><font color="#000000"><br>
                      </font></font></b></b></div>
              <div align="left"><font color="#ff0000"><font
                    color="#000000">  <br>
                  </font></font></div>
              <div align="left"><font color="#ff0000"><font
                    color="#000000"><b><font color="#ff0000">Date:<font
                          color="#000000"> 23 February 2024</font></font></b>,
                    <b>Friday</b></font></font><br>
              </div>
              <div align="left"><font color="#ff0000"><font
                    color="#000000"><b><font color="#ff0000">Time: </font>15:40 <i>(GMT+3)</i></b><br>
                    <b><font color="#ff0000">Place: </font></b><font
                      color="#ff0000"><font color="#000000"><b>Zoom</b></font></font></font></font></div>
              <blockquote>
                <p><font color="#ff0000"><font color="#000000"><font
                        color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">One
                              day before the seminar, an announcement
                              with the Zoom meeting link will be sent to
                              those who registered with Sertöz.<br>
                            </b></b></font></font></font></font></p>
                <p><font color="#ff0000"><font color="#000000"><font
                        color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
                              you have registered before for one of the
                              previous talks, there is no need to
                              register again; you will automatically
                              receive a link for this talk too.<br>
                            </b></b></font></font></font></font></p>
                <p><font color="#ff0000"><font color="#000000"><font
                        color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
                              you have not registered before, please
                              contact him at <a
href="mailto:sertoz@bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request"
                                target="_blank" moz-do-not-send="true">sertoz@bilkent.edu.tr</a>.</b></b></font></font></font></font></p>
              </blockquote>
              <div align="left"><br>
              </div>
              <div align="left">You are most cordially invited to
                attend.</div>
              <div align="left"><br>
              </div>
              <div align="left">Ali Sinan Sertöz</div>
              <div align="left"><font size="1"><i>(PS: To unsubscribe
                    from this list please send me a note.)</i></font> </div>
              <hr>
              <pre cols="72">---------------------------------------------------------------------------- 
Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Türkiye
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail: <a href="mailto:sertoz@bilkent.edu.tr" target="_blank"
              class="gmail-moz-txt-link-freetext moz-txt-link-freetext"
              moz-do-not-send="true">sertoz@bilkent.edu.tr</a> 
Web: <a href="http://sertoz.bilkent.edu.tr" target="_blank"
              moz-do-not-send="true">sertoz.bilkent.edu.tr</a> 
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