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SUMMARY:Aspects of Geometric Group Theory
DTSTART;VALUE=DATE-TIME:20190708T063000Z
DTEND;VALUE=DATE-TIME:20190719T170000Z
DTSTAMP;VALUE=DATE-TIME:20210512T015148Z
UID:indico-event-3784@indico.math.cnrs.fr
DESCRIPTION:\n\n \n\n---------------------------------------- APPLICATION
S ARE CLOSED ------------------------------------------ \n\nOrganizing/Sci
entific Committee: Emmanuel Breuillard (Univ. of Cambridge)\, Richard Cana
ry (Univ. Michigan)\, Indira Chatterji (Univ. Nice-Sophia Antipolis)\, Fan
ny Kassel (CNRS-IHES)\n\nThe Summer school on "Aspects of Geometric Group
Theory" will be held at the Institut des Hautes Etudes Scientifiques (IHES
) from 8 to 19 July 2019. IHES is located in Bures-sur-Yvette\, south of P
aris (40 minutes by train from Paris).\n\nThis school is open to everybody
but intended primarily for young participants\, including PhD students an
d postdoctoral fellows.\n\n\nA group is a mathematical object encoding nat
ural notions of symmetries and transformations. Geometric group theory is
an area in mathematics devoted to the study of discrete groups by explorin
g connections between algebraic properties of such groups and topological
and geometric properties of spaces on which these groups act.\n\nAs a dist
inct area\, geometric group theory is relatively new\, and became an ident
ifiable branch of mathematics in the early 1990s. Geometric group theory c
losely interacts with low-dimensional topology\, hyperbolic geometry\, Lie
groups and homogeneous spaces\, algebraic topology\, computational group
theory\, and differential geometry. There are also substantial connections
with complexity theory\, mathematical logic\, dynamical systems\, probabi
lity theory\, K-theory\, and other areas of mathematics.\n\nNowadays\, geo
metric group theory is a very active and competitive area of research\, as
shown by the many conferences in the field but also several special progr
ams such as an IHP program in 2014\, a jumbo MSRI program in 2016 and a pr
ogram at the Newton Institute in 2017 to name a few.\n\nWe will choose a
few important trends in geometric group theory and teach those to graduate
students across mathematical fields\, so that young people in several are
as of mathematics such as algebra\, geometry\, dynamics\, or topology have
some basics to either understand a few problems in geometric group theory
\, or use geometric group theory methods in their respective fields. Geome
tric group theory is a very broad area\, and we will mainly focus on geome
tric aspects.\n\n\nINVITED SPEAKERS:\n\nSo far the following people have a
greed to give a mini-course:\n\n\n Yves Benoist (CNRS and Université Par
is-Sud)\n Kai-Uwe Bux (Universität Bielefeld)\n Ruth Charney Brandeis U
niversity)\n François Dahmani (Université Grenoble Alpes)\n Anna Erschl
er (CNRS and ENS)\n François Guéritaud (CNRS and Université de Lille)
\n Kathryn Mann (Brown University)\n Yair Minsky (Yale University)\n Kar
en Vogtmann (University of Warwick)\n Genevieve Walsh (Tufts University)
\n Anna Wienhard (Universität Heidelberg)\n Daniel T. Wise (McGill Univ
ersity)\n\n\n\nThis is an IHES Summer School\, organized in partnership wi
th the Clay Mathematical Institute\, and the support of the Société Gén
érale\, the FMJH\, the IUF\, the ANR GAMME\, the project Jeunes Géomètr
es\, the National Science Foundation and the ERC.\n\n\n \n\nhttps://ind
ico.math.cnrs.fr/event/3784/
LOCATION:IHES Marilyn and James Simons Conference Center
URL:https://indico.math.cnrs.fr/event/3784/
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