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<p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:center'><b><font size=3 face=Arial><span style='font-size:12.0pt;
font-family:Arial;font-weight:bold'>Dr. Sinem Çelik Onaran<o:p></o:p></span></font></b></p>
<p class=MsoNormal align=center style='mso-margin-top-alt:auto;margin-bottom:
12.0pt;text-align:center'><font size=3 face=Tahoma><span style='font-size:12.0pt;
font-family:Tahoma'>(Boğaziçi University)<br>
26 February Friday, at <font color=blue><span style='color:blue'>14:00</span></font>;<br>
Bilgi Üniversitesi Dolapdere Kampüsü, Room:<font color=blue><span
style='color:blue'>135.</span></font></span></font><font color=red><span
style='color:red'><o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:center'><b><font size=3 face=Arial><span style='font-size:12.0pt;
font-family:Arial;font-weight:bold'>Title: </span></font></b><o:p></o:p></p>
<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><font
size=3 face=Arial><span style='font-size:12.0pt;font-family:Arial'>Knots in
Contact Structures and Open Book Decompositions.<o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:center'><b><font size=3 face=Arial><span style='font-size:12.0pt;
font-family:Arial;font-weight:bold'> Abstract:<o:p></o:p></span></font></b></p>
<p class=MsoNormal style='text-align:justify;text-indent:35.4pt;text-autospace:
none'><font size=3 face=Arial><span style='font-size:12.0pt;font-family:Arial'>Due
to Alexander, it is well known that every closed oriented 3-manifold has an
open book decomposition. In the first part of the talk, we will define open
book decompositions of 3-manifolds and discuss various examples in detail.
Further, we will discuss the importance of the open books in manifold theory, in
paticular in contact geometry. There is a useful relationship between open book
decompositions and contact 3-manifolds. We will give a brief introduction on
contact 3-manifolds and discuss this relationship. In the second part of the
talk, we will focus on a class of knots in contact 3-manifolds called
Legendrian knots. We will define a new invariant for Legendrian knots using
open book decompositions. The invariant is called the support genus of a
Legendrian knot. We will present the applications of this invariant and list
several open problems related to support genus of Legendrian knots. This talk
aims to reach general audience.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
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