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<p class="MsoPlainText"><span lang="EN-US">Dear Topologists, <o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">This is an announcement for a Junior Seminar talk that is open also to non-PhD students, taking place on Monday, September 25 at 16.00 in NU-09A46 (Maryam)<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Speaker: Thiago de Paiva Souza (Monash University, Australia)<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Title: Knots in a nutshell
<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Abstract: The study of knots began in the 19th century with some mathematicians such as Gauss, Listing and Tait. In 1898, Tait writes in a preface of his work:<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">“The subject [knot theory] is a very much more difficult and intricate one than at first sight one is inclined to think, and I feel that I have not succeeded in catching the key-note.”<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Until now, many mathematicians have been working on the study of knots, and no key-note has been found, or maybe there is no “key-note”. This shows that knot theory is a much deeper area of research than the first
impression.<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">In this talk we will introduce and discuss some basic motivations behind the study of knots and some applications to dynamical systems for the classification of flows on three-dimensional manifolds.<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"> <o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Thiago is a PhD student of Jessica Purcell, who is visiting me for a few days.<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Best,<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Senja<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">-------------------------------<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Dr Senja Barthel<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Assistant professor in mathematics<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Vrije Universiteit Amsterdam<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><o:p> </o:p></p>
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