<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"	"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> 
 
<html xmlns="http://www.w3.org/1999/xhtml"
xml:lang="es" lang="es"> 

<head> 
	<meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> 
	<title>Curso de Doctorado, Índice de Maslov</title> 
	
	<style> 
	#container {
		width: 700px;
		margin: 0px auto;
		text-align: left;
		background-color: #fff;
		color: #666;
		border: 10px solid #ccc;
	}
	
	#header {
		background-color: #000;
		color: #fff;
		padding: 2px 15px 2px 15px;
		font-family: "Trebuchet MS", Times, serif;
	}
	
	#sidebar {
		width: 200px;
		padding: 10px;
		float: left;
		background-color: #eee;
		border-right: 1px solid #ccc;
		border-bottom: 1px solid #ccc;
	}
	
	#main {
		padding: 10px;
		margin-left: 225px;
	}
	
	#footer {
		clear: both;
		background-color: #000;
		color: #ccc;
		padding: 1px;
		text-align: center;
	}
	
	
	body {
		background-color: #666;
		text-align: center;
		margin: 0px;
		font: 10pt Arial, Helvetica, sans-serif;
	}
	
	/* estilos morralla */
	
	#header h2 {
		font-style: italic;
		color: #ccc;
	}
	
	#footer a {
		color: #fff;
	}
	
	</style> 
</head> 
 
<body> 
<div id="container"> 
<div id="header"> 
<h1>El Índice de Maslov - Paolo Piccione (USP, UM)</h1> 
<h2>Curso de Doctorado, UAM. 20-23 Abril, 2009</h2> 
</div><!-- header --> 
 
<div id="sidebar"> 
<h3>Información Práctica</h3> 
<p>Departamento de Matemáticas, UAM
</p> 
 
<table>
<caption> Horario </caption>
<tr> <td>Lunes </td> <td>16:00-19:00 </td> </tr>
<tr> <td>Martes </td> <td>16:00-19:00 </td></tr>
<tr> <td>Miércoles </td> <td>10:30-12:30 </td></tr>
<tr> <td>Jueves </td> <td>10:30-12:30 </td></tr>

</table>
 
<p> Todas las clases serán en el aula C-XV-520


<p>
Financiado por la Dirección General de Universidades, Secretaría de Estado de Universidades (MCINN)
</p> 

<p>
Contacto: luis.guijarro <em>at</em> uam.es
</p> 
<p>
</p>
</div><!-- sidebar --> 
 
<div id="main"> 
<h3>Programa del Curso</h3> 
<p>

1. Symplectic spaces: complex and symplectic structures, isotropic and Lagrangian subspaces, Lagrangian decompositions. <br /> 
</p>
<p>

2. Grassmannians: differentiable structure, the tangent space to a Grassmannian, Grassmannian as a homogeneous space, the Lagrangian Grassmannian.<br /> 
</p>
<p>
3. Maslov index: curves of symmetric bilinear forms , evolution of the index. Definition of the Maslov index via fundamental groupoids. Kato's selection theorem and partial signatures.<br /> 
</p>
<p>
4. Maslov index and semi-Riemannian geodesics. <br /> 


</p> 
<p> 
<br /> 

 
</div><!-- main --> 
 
<div id="footer"> 
<p>Página realizada con la CSS-Sésamo #1: Layout tableless (dos columnas) -  de <a href="http://cafeina.ladybenko.net">BenKo</a>, <a href="http://creativecommons.org/licenses/by-nc-sa/2.1/es/" >licencia Creative Commons</a> </p> 
</div><!-- footer --> 
 
</div><!-- container --> 
 
 
</body> 
</html>