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SUMMARY:Applications of cellular E_2-algebras - Oscar Randal-Williams\, Ca
 mbridge
DTSTART:20161116T160000Z
DTEND:20161116T170000Z
UID:TALK67020@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Many families of moduli spaces\, such as moduli spaces of Riem
 ann surfaces or graphs\, can be given the structure of an E_2-algebra: tha
 t is\, a multiplication law which is as commutative as that of a 2-fold lo
 op space. In the case of Riemann surfaces it is given by boundary connect-
 sum. I will explain a new technique which allows up to construct these as 
 "cellular E_2-algebras" with strong constraints on the dimensions of the c
 ells which appear. The phenomenon of homological stability is an immediate
  consequence of such cell structures\, but this point of view leads to fur
 ther "secondary" stability phenomena also.\n\nThis is joint with S. Galati
 us and A. Kupers.
LOCATION:MR13
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