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Estimados Académicos(as) y Alumnos(as),<br>
<br>
Se les invita para el miércoles 22 de enero a contar de las 16:00 a
18:00 hrs, a 2 sesiones del seminario EDP, las cuales se realizarán
en la sala de seminarios 4to piso, del Depto. de Ingeniería
Matemática,Torre Norte, Beauchef 851.
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<b>SEMINARIO EDP.</b><br>
<div>----------</div>
<div>Sébastien Breteaux (Université de Lorraine)<br>
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<div> <b>Title</b>:<br>
Quantum Mean Field Asymptotics and Multiscale Analysis<br>
<b><span class="gmail-il">Abstract</span></b>:<br>
In a joint work with Z. Ammari, and F. Nier, we study how
multiscale <br>
analysis and quantum mean field asymptotics can be brought
together. In <br>
particular we study when a sequence of one-particle density
matrices has <br>
a limit with two components: one classical and one quantum.
The <br>
introduction of ``separating quantization for a family''
provides a <br>
simple criterion to check when those two types of limit are
well <br>
separated. We also give examples of explicit computations of
such <br>
limits, and how to check that the separating assumption is
satisfied.<br>
<br>
In this talk we will introduce some of the tools to deal with
this <br>
problem and give an idea about the type of results we are
interested in.</div>
<div>----------------------------<br>
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<div>Jérémy Mougel (Göttingen)<br>
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<div><b>title</b>:</div>
<div> Fredholm groupoids<br>
<b>Resume</b> :<br>
In many cases, the study of linear partial differential
equations on a singular manifold can be related to that of a
Lie groupoid<br>
whose action generates the (pseudo)differential operators of
interest.<br>
Obtaining Fredholm conditions for these operators leads to the
definition of Fredholm groupoids as recently introduced by
Carvalho,<br>
Nistor and Qiao and also studied by Côme. I will introduce
theses objects and give examples to illustrate the notion of
Fredholm groupoids.<br>
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<div>Esperando contar con su presencia, les saluda, <br>
<br>
Ma. Inés Rivera <br>
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