<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN">
<html><body style='font-family: Verdana,Geneva,sans-serif'>
<p> </p>
<p>-------- Mensaje original --------</p>
<table border="0" cellspacing="0" cellpadding="0">
<tbody>
<tr><th align="right" valign="baseline" nowrap="nowrap">Asunto:</th>
<td>Coloquio del Departamento de Matemática -- Jueves 31/03, 15:30 hs, Aula 1 -- Michael Melgaard (Universidad de Sussex, Reino Unido)</td>
</tr>
<tr><th align="right" valign="baseline" nowrap="nowrap">Fecha:</th>
<td>2016-03-24 17:03</td>
</tr>
<tr><th align="right" valign="baseline" nowrap="nowrap">Remitente:</th>
<td>Coloquio del Departamento de Matemática <coloquiodm@mate.unlp.edu.ar></td>
</tr>
<tr><th align="right" valign="baseline" nowrap="nowrap">Destinatario:</th>
<td>"all@mate.unlp.edu.ar" <all@mate.unlp.edu.ar>, "secre2@fisica.unlp.edu.ar" <secre2@fisica.unlp.edu.ar>, info@exactas.unlp.edu.ar</td>
</tr>
</tbody>
</table>
<p> </p>
<!-- html ignored --><!-- head ignored --><!-- meta ignored -->
<div dir="ltr">
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">Hola a todos,</span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">el próximo jueves 31 de marzo continuaremos con las reuniones </span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">periódicas del </span></span><span style="font-size: small;"><span>Coloquio</span></span><span style="font-size: small; background-color: rgba;"> del Departamento de Matemática.</span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">En esta ocasión, la charla estará nuevamente a cargo de </span></span></div>
<a style="font-size: 12.8px;" href="http://www.maths.sussex.ac.uk/Staff/~mmelgaard/">Michael Melgaard</a><span style="font-size: 12.8px;"> (Universidad de Sussex, Reino Unido)</span><br style="font-size: 12.8px;" />
<div style="font-size: 12.8px;"> </div>
<div>
<div class="gmail_extra">
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">La información completa es la siguiente</span><span style="background-color: rgba;">:</span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: 12.8px;"><span style="background-color: rgba;"><br /></span></span>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><strong>Día:</strong> jueves 31 de marzo.</span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><strong>Hora:</strong> 15:30 hs </span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><strong>Aula:</strong> </span><span style="background-color: rgba;">Aula 1, Primer piso, Departamento de Matemática.</span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
<div>
<div><span style="font-size: 12.8px;"><span style="background-color: rgba;"><strong>Expositor: </strong></span></span><a style="font-size: small;" href="http://www.maths.sussex.ac.uk/Staff/~mmelgaard/">Michael Melgaard</a><span style="font-size: small;"> (Universidad de Sussex, Reino Unido)</span><span style="font-size: 12.8px; background-color: rgba;"><br /></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
</div>
</div>
<div style="font-size: 12.8px;" dir="ltr"><span style="font-size: 12.8px;"><span style="background-color: rgba;"><strong>Título:</strong> </span></span><span style="font-size: 12.8px;">Resonances in Physics and Chemistry: II. Existence of resonances for perturbed Dirac operators</span></div>
<div style="font-size: 12.8px;" dir="ltr"> </div>
<div style="font-size: 12.8px;" dir="ltr"><span style="font-size: 12.8px;"><span style="background-color: rgba;"><strong>Resumen:</strong></span></span> </div>
<div><span style="font-size: 12.8px;">We prove the existence of quantum resonances of the three-dimensional Dirac operator <span><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">D<sub><span style="font-size: 92%;">0</span></sub></span></span></span><span style="font-size: 12.8px;"> perturbed by smooth, bounded and real-valued scalar potentials <span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">V</span> decaying like </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">⟨ x ⟩ <sup><span style="font-size: 92%;">-δ </span></sup></span> at infinity for some </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">δ >0</span>. By studying analytic singularities of a certain distribution related to </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">V</span> and by combining two trace formulas, we prove that the perturbed Dirac operators possess resonances near </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">sup V + 1</span> and </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">inf V -1</span>. Furthermore, for smooth compactly supported Hermitian matrix </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">V(x)</span>, we establish a global Poisson wave trace formula for resonances of </span><span style="font-size: 12.8px;"><span style="font-size: 115%; font-family: STIXGeneral,STIX-Regular,Cambria Math;">D= D<sub><span style="font-size: 92%;">0</span></sub> + V(x)</span>. The proof is based on an upper bound on the number of resonances in disks and an estimate on the scattering determinant, in conjunction with the Lifshits-Krein trace formula.</span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">Están invitados a participar!</span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;">Para más información del <span>coloquio</span>, visitar la página web <a href="http://www.mate.unlp.edu.ar/coloquiodm/">aquí</a></span></span></div>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br /></span></span></div>
<span style="font-size: 12.8px;"><span style="background-color: rgba;">Luego del <span>coloquio</span> se ofrecerá café y te con galletitas. <br />Por favor, traer taza!<br /></span></span>
<div style="font-size: 12.8px;"><span style="font-size: small;"><span style="background-color: rgba;"><br />Saludos,<br />Gastón</span></span></div>
</div>
</div>
</div>
<div> </div>
</body></html>