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SUMMARY:Jennifer Duncan (University of Birmingham)
DTSTART:20200723T150000Z
DTEND:20200723T155000Z
DTSTAMP:20260423T010138Z
UID:anpdews/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/25/"
 >An Algebraic Brascamp-Lieb Inequality</a>\nby Jennifer Duncan (University
  of Birmingham) as part of HA-GMT-PDE Seminar\n\n\nAbstract\nThe Brascamp-
 Lieb inequalities are a natural generalisation of many familiar multilinea
 r inequalities that arise in mathematical analysis\, classical examples of
  which include Holder’s inequality\, Young’s convolution inequality\, 
 and the Loomis-Whitney inequality. Each Brascamp-Lieb inequality is unique
 ly defined by a 'Brascamp-Lieb datum'\, which is a pair consisting of a se
 t of linear surjections between euclidean spaces and a set of exponents co
 rresponding to these maps. It is common in applications to encounter nonli
 near variants\, where the linear maps are replaced with nonlinear maps bet
 ween manifolds. By incorporating a dampening factor that compensates for l
 ocal degeneracies\, we establish a global nonlinear Brascamp-Lieb inequali
 ty for a broad class of maps that exhibit a certain algebraic structure\, 
 with a constant that explicitly depends only on the associated 'degrees' o
 f these maps.\n
LOCATION:https://researchseminars.org/talk/anpdews/25/
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