<div dir="ltr"><span style="font-family:arial,sans-serif;font-size:13px">Değerli liste üyeleri,</span><div><span style="font-family:arial,sans-serif;font-size:13px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:13px">bu Çarşambaki konuşmacımız Düzce Üniversitesinden Doç. Dr. Müge Kanuni Er. İlgilenenleri bekliyoruz.</span></div><div><span style="font-family:arial,sans-serif;font-size:13px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:13px">Time-Place: 15.00-Yaşar Ataman Salonu</span></div><div><span style="font-family:arial,sans-serif;font-size:13px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:13px">Title: Algebra on a combinatorial structure: Leavitt path algebras </span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:13px">Abstract: We will give a survey of the last 10 years of research done</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">in a particular example of non-commutative rings flourishing from the</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">fact that free modules over some non-commutative rings can have two</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">bases with different cardinality. This would not have happened in</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">vector spaces... :)</span><br style="font-family:arial,sans-serif;font-size:13px"><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">Surprisingly enough not only non-commutative ring theorists, but also</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">C*-algebraists gather together to advance the work done. The interplay</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">between the topics stimulate interest and many proof techniques and</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">tools are used  from symbolic dynamics, ergodic theory, homology,</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">K-theory and functional analysis.  Open problem pages are put up and</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">research schools are organized throughout the world. Over 100 papers</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">have been published on this structure, so called Leavitt path</span><br style="font-family:arial,sans-serif;font-size:13px"><span style="font-family:arial,sans-serif;font-size:13px">algebras, which is constructed on a directed graph.</span><br clear="all"><div><div class="gmail_signature"><div dir="ltr">  <br><br>  Mesut Sahin<div>  Associate Professor<br>  Department of Mathematics<br>  Hacettepe University<br>  TR 06800 Beytepe </div><div>  ANKARA - TURKEY<br> <a href="http://yunus.hacettepe.edu.tr/~mesut.sahin" target="_blank">http://yunus.hacettepe.edu.tr/~mesut.sahin</a></div></div></div></div>
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