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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:The signature of a fibration modulo 8
DTSTART:20151020T101500
DTEND:20151020T113000
DTSTAMP:20260928T172521Z
UID:155c9e1a823a3c60bb2d781560ed57858d925ceb67a5689c6f108a7a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Carmen Rovi\nIn this talk we shall be concerned with the resid
 ues modulo 4 and modulo 8 of the signature σ(M) in Z of an oriented 4k-di
 mensional geometric Poincaré complex M^4k. The precise relation between t
 he signature modulo 8\, the Arf invariant and the Brown-Kervaire invariant
  will be given. Furthermore we shall discuss how the relation between thes
 e invariants can be applied to the study of the signature modulo 8 of a fi
 bration. In particular it had been proved by Meyer in 1973 that a surface 
 bundle has signature divisible by 4. This was generalized to higher dimens
 ions by Hambleton\, Korzeniewski and Ranicki in 2007. I will explain two r
 esults from my thesis concerning the signature modulo 8 of a fibration: fi
 rstly under what conditions can we guarantee divisibility of the signature
  by 8 and secondly what invariant detects non-divisibility by 8 in general
 .
LOCATION:CM113
STATUS:CONFIRMED
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