[Todos CMAT] Fwd: Workshop Geometry and Groups y Minicurso

[Juan Alonso]

---------- Forwarded message ----------
From: Andrés Sambarino <andres.sambarino en gmail.com>
Date: 2016-04-09 17:09 GMT-03:00
Subject: Workshop Geometry and Groups y Minicurso
To: "todos_imerl en fing.edu.uy" <todos_imerl en fing.edu.uy>, Juan Alonso <
juan en cmat.edu.uy>, "miguel en fisica.edu.uy" <miguel en fisica.edu.uy>


Buenas,

Este mail es simplemente un recordatorio del Workshop 'Geometry and Groups'
que se lleva a cabo esta semana que comienza en el Museo de Artes Visuales.

El Workshop consiste en 3 minicursos (por Jean-François Quint, Alan Reid y
Karen Vogtmann) y varias exposiciones. La pagina web, que contiene el
cronograma, oradores y resumenes de las charlas, es
https://geometryandgroupsinmontevideo.wordpress.com/

Aprovecho también para recordar que la semana siguiente (del 18 al 22 de
abril) François Labourie dictará un minicurso sobre Fibrados de Higgs (el
resumen va abajo). Los intresados no olviden mandarme sus horarios
disponibles por mail.

Saludos,

Higgs bundles:

This mini course will give an introduction to the major results of the
theory of Higgs bundles initiated by Kevin Corlette, Simon Donaldson, Nigel
Hitchin and Carlos Simpson in the 90's. This theory is usually described as
a non linear analogue of the classical hodge theory on Riemann surfaces
which gives isomorphism a between various notions of cohomology: Dolbaut,
de Rham, simplicial.

The mini course will consist in 4 lectures with little prerequisite and
available online hand written notes.

The first lecture will describe background on semi simple groups and
symmetric spaces.

The second lecture will describe harmonic mappings into symmetric spaces
and Higgs bundles.

The third lecture will describe the three major constructions of the
theory: the Hitchin-Simpson theorem, the Corlette-Donaldson theorem and the
Hitchin Fibration which provides isomorphisms between natural
generalizations of the cohomology theories for Riemann surfaces.

The fourth lecture will describe the Hitchin section and Hitchin components.
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