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SUMMARY:Stable Commutator Length - Nicolaus Heuer (Oxford)
DTSTART:20181116T150000Z
DTEND:20181116T160000Z
UID:TALK111088@talks.cam.ac.uk
CONTACT:Ben Morley
DESCRIPTION:Given a loop $\\gamma$ in a topological space $X$. What is com
 plexity of the surfaces needed to bound $\\gamma$?  This question may answ
 ered using the stable commutator length (scl) of $[\\gamma] \\in \\pi_1(X)
 $. This invariant of group elements has many intriguing algebraic\, geomet
 ric and analytic features.\n\nI will introduce and motivate the theory of 
 scl by giving highlight theorems and - most importantly - many open proble
 ms.\n\nFinally\, I will discuss a relation between scl in free groups and 
 the l1-homology of one-relator groups. This is joint work with Clara Löh.
LOCATION:MR13
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