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    Değerli Liste Üyeleri, detayları aşağıda verilen seminere sizleri
    davet etmek isteriz.  İyi çalışmalar,<br>
    <br>
    kağan <br>
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        <div class="gmail-"
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            class="gmail-">MATHEMATICS COLLOQUIA</b></div>
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        <div class="gmail-"
          style="color:rgb(0,0,0);font-family:Helvetica;font-size:12px">You
          are cordially invited to attend <b class="gmail-">two</b> colloquia
          this week given by Wilfried Meidl (RICAM, Austria) on <b
            class="gmail-">Wednesday, 29 November 2017, in FENS-G055 at
            11.30 am</b>, and by İlker İnam (Bilecik Şeyh Edebali
          University) on <b class="gmail-">Thursday, 30 November 2017,
            in FENS-L030 </b><b class="gmail-">at 11 am.</b></div>
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          <div class="gmail-" style="margin:0cm 0cm 0.0001pt"><b
              class="gmail-">Wilfried Meidl</b></div>
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          <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Title: <span
              class="gmail-" style="font-size:12.800000190734863px">Bent
              functions and generalized Bent functions</span></div>
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              class="gmail-" style="font-size:12.800000190734863px"><br>
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          <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Abstract: <span
              class="gmail-" style="font-size:small">Bent functions
              correspond to relative difference sets in the groups </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:4pt">n</span><span
              class="gmail-" style="vertical-align:-3pt">2 </span><span
              class="gmail-" style="font-size:small">× </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:-2pt">2 </span><span
              class="gmail-" style="font-size:small">respectively </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:4pt">n</span><span
              class="gmail-" style="vertical-align:-3pt">2 </span><span
              class="gmail-" style="font-size:small">× </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:-2pt">2</span><span
              class="gmail-" style="vertical-align:1pt">m </span><span
              class="gmail-" style="font-size:small">. Being highly
              nonlinear, Boolean bent functions have application in
              cryptography. Whereas there are many constructions of
              Boolean bent functions, bent functions from </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:4pt">n</span><span
              class="gmail-" style="vertical-align:-3pt">2 </span><span
              class="gmail-" style="font-size:small">to </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:-2pt">2</span><span
              class="gmail-" style="vertical-align:1pt">m </span><span
              class="gmail-" style="font-size:small">seem to be quite </span><span
              class="gmail-" style="font-size:small">rare. </span><span
              class="gmail-" style="font-size:small">Recently a lot of
              research has been performed on generalized bent (gbent) </span><span
              class="gmail-" style="font-size:small">functions, which
              are functions from </span><span class="gmail-"
              style="font-size:small">Z</span><span class="gmail-"
              style="vertical-align:4pt">n</span><span class="gmail-"
              style="vertical-align:-3pt">2 </span><span class="gmail-"
              style="font-size:small">to </span><span class="gmail-"
              style="font-size:small">Z</span><span class="gmail-"
              style="vertical-align:-2pt">2</span><span class="gmail-"
              style="vertical-align:1pt">m </span><span class="gmail-"
              style="font-size:small">satisfying the weaker condi- tion
              that </span><span class="gmail-" style="font-size:small">H</span><span
              class="gmail-" style="vertical-align:-2pt">f</span><span
              class="gmail-" style="font-size:small">(1</span><span
              class="gmail-" style="font-size:small">,u</span><span
              class="gmail-" style="font-size:small">) has absolute
              value 2</span><span class="gmail-"
              style="vertical-align:4pt">n/</span><span class="gmail-"
              style="vertical-align:4pt">2 </span><span class="gmail-"
              style="font-size:small">for every </span><span
              class="gmail-" style="font-size:small">u </span><span
              class="gmail-" style="font-size:small">∈ </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:4pt">n</span><span
              class="gmail-" style="vertical-align:-3pt">2</span><span
              class="gmail-" style="font-size:small">. In this talk, the
              main results on gbent functions and bent functions from </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:4pt">n</span><span
              class="gmail-" style="vertical-align:-3pt">2 </span><span
              class="gmail-" style="font-size:small">to </span><span
              class="gmail-" style="font-size:small">Z</span><span
              class="gmail-" style="vertical-align:-2pt">2</span><span
              class="gmail-" style="vertical-align:1pt">m </span><span
              class="gmail-" style="font-size:small">are summarized, and
              some open questions are discussed. </span></div>
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              <div class="gmail-" style="margin:0cm 0cm 0.0001pt"><b
                  class="gmail-">İlker İnam</b></div>
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              <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Title: <span
                  class="gmail-" style="font-size:12.800000190734863px">Computing
                  with Modular Forms </span></div>
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              <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Abstract: <span
                  class="gmail-" style="font-size:10pt">Modular forms
                  are holomorphic functions on the upper half plane that
                  satisfy fundamental symmetry and growth conditions.
                  They have many applications in several branches of
                  mathem- atics and even in physics. Since modular forms
                  are periodic, they are perfect number theoretic
                  objects. Furthermore, the space of modular forms are
                  finite dimensional vector space, hence they are
                  computation-friendly. In this talk, we will introduce
                  modular forms with basic properties and then we will
                  show how one can make computations with them by using
                  Magma Computer Algebra System.</span></div>
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          <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Kind
            regards,</div>
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          <div class="gmail-" style="margin:0cm 0cm 0.0001pt">Yasemin </div>
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            <br>
            p.s. Sabancı Üniv kampüsüne ulaşım için
            <a class="moz-txt-link-freetext" href="http://www.sabanciuniv.edu/tr/ulasim/ring-sefer-saatleri">http://www.sabanciuniv.edu/tr/ulasim/ring-sefer-saatleri</a>
            adresine bakınız.<br>
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