<div dir="ltr">
<div dir="ltr"><font color="#000000" style="font-family:times new roman,serif" size="4">Sayin Liste Uyeleri, </font><div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4">Gebze
Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri
kapsamında, 15 Kasım Cuma günü saat 14:00'te Dr. Aleksey Kostenko (Ljubljana Üniversitesi(Slovenya) ve Vienna Teknik Üniversitesi(Avusturya)) bir seminer verecektir. Seminerin detayları aşağıda
olup tüm ilgilenenler davetlidir.</font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4">Saygılarımızla. </font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4">Dear all,</font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font style="font-family:times new roman,serif" size="4"><font color="#000000">There will be a seminar in Gebze Technical University (GTU) on 15th of November by Dr. </font><span style="color:rgb(0,0,0)">Aleksey Kostenko</span> <font color="#000000">(</font><font color="#000000">University of </font></font><font size="4"><span style="font-family:times new roman,serif">
<font color="#000000">Ljubljana</font> (Slovenia) and
Vienna University of
Technology (Austria)
<font color="#000000">).</font></span></font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font color="#000000" style="font-family:times new roman,serif" size="4">Time and place: At 14:00 in Department of Mathematics, Lecture Amphi 2</font></div></div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font style="font-family:times new roman,serif" size="4"><font color="#000000">Title: </font></font><font size="4"><span style="font-family:times new roman,serif"> <span><span></span></span><span>Trace formulas and inverse spectral theory for strings</span></span></font>
</div><div><font color="#000000" style="font-family:times new roman,serif" size="4"><br></font></div><div><font style="font-family:times new roman,serif" size="4"><font color="#000000">Abstract: </font></font><font size="4"><span style="font-family:times new roman,serif">
Generalized
indefinite strings provide a canonical model for self-adjoint operators
with simple spectrum (other classical models are Jacobi matrices, Krein
strings and 2×2 canonical systems). We’ll present several Szegő-type
theorems for generalized indefinite strings and related spectral
problems (including Krein strings and Dirac operators). More
specifically, for several classes of coefficients (that can be regarded
as Hilbert–Schmidt perturbations of model problems), we provide a
complete characterization of the corresponding set of spectral measures.
In particular, our results also apply to the isospectral Lax operator
for the conservative Camassa–Holm flow and allow us to establish
existence of global weak solutions with various step-like initial
conditions of low regularity via the inverse spectral transform.<br>
The talk is based on joint work with J.Eckhardt.</span></font>
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