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SUMMARY:Sam Hughes (Oxford)
DTSTART:20220310T150500Z
DTEND:20220310T155500Z
DTSTAMP:20260423T021102Z
UID:GaTO/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/57/">Ir
 reducible lattices fibring over the circle</a>\nby Sam Hughes (Oxford) as 
 part of Geometry and topology online\n\n\nAbstract\nLet \\(n \\geq 2\\) an
 d let \\(\\Lambda\\) be a\n        lattice in a product of simple non-comp
 act Lie groups with\n        finite centre.  An application of the Marguli
 s normal subgroup\n	theorem implies that if \\(H^1(\\Lambda)\\) is non-zer
 o\, then\n        \\(\\Gamma\\) is reducible.  In the more general\n      
   \\(\\mathrm{CAT}(0)\\) setting there are many irreducible\n        latti
 ces with non-vanishing first cohomology.  In this case we\n        can dep
 loy the BNSR invariants and investigate how far these\n        cohomology 
 classes are from a fibration of finite type CW\n        complexes.  In thi
 s talk we will combine the groups of Leary\n        and Minasyan with the 
 technology of Bestvina and Brady to\n        construct the first examples 
 of irreducible lattices which\n        fibre over the circle.\n
LOCATION:https://researchseminars.org/talk/GaTO/57/
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