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SUMMARY:N-dependent theories
DTSTART;VALUE=DATE-TIME:20190620T083000Z
DTEND;VALUE=DATE-TIME:20190620T093000Z
DTSTAMP;VALUE=DATE-TIME:20191015T235848Z
UID:indico-event-4754@indico.math.cnrs.fr
DESCRIPTION:\nA first-order theory is n-dependent if the edge relation of
an infinite random n-hypergraph is not definable in any of its models. N-d
ependence is a strict hierarchy increasing with n\, with the first level c
orresponding to the well-studied class of NIP theories. I will give a surv
ey of recent work on n-dependent theories establishing connections to hi
gher-arity generalizations of VC-dimension and hypergraph regularity (join
t with Henry Towsner) and on understanding which algebraic structures are
n-dependent (joint with Nadja Hempel).\n\n\n \n\nhttps://indico.math.cnrs
.fr/event/4754/
LOCATION:Salle 112 Bâtiment Braconnier
URL:https://indico.math.cnrs.fr/event/4754/
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