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SUMMARY:Geometric approximate group theory - Matt Cordes (ETH Zurich)
DTSTART:20210611T124500Z
DTEND:20210611T134500Z
UID:TALK159958@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:An approximate group is a subset of a group that is "almost cl
 osed" under multiplication. Finite approximate subgroups play a major role
  in additive combinatorics. In 2012\, Breuillard\, Green and Tao establish
 ed a structure theorem concerning finite approximate subgroups and used th
 is theory to reprove Gromov’s polynomial growth theorem. Infinite approx
 imate groups were studied implicitly long before the formal definition. Me
 yer\, in 1972\, developed a theory of mathematical quasi-crystals which ca
 n be seen as approximate subgroups of R^n that are Delone. Recently\, Bjö
 rklund and Hartnick have begun a program investigating infinite approximat
 e lattices in locally compact second countable groups using geometric and 
 measurable structures. In the talk I will introduce infinite approximate g
 roups and their geometric aspects. This is joint work with Hartnick and To
 nić.
LOCATION:Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709
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