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SUMMARY:Parallelising PDEs using Representation Theory - Sheehan Olver (Im
 perial College London)
DTSTART:20250522T140000Z
DTEND:20250522T150000Z
UID:TALK228031@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:If a partial differential operator commutes with a symmetry gr
 oup (permutations\, rotations\, reflections\, etc.) then it can be decoupl
 ed by discretising with a so-called symmetry-adapted basis built from irre
 ducible representations\, the basic building blocks of representation theo
 ry.  In this talk we explore this phenomena using symmetry-adapted multiva
 riate orthogonal polynomials to discretise Schrödinger equations with pot
 entials invariant under permutations or the octohedral symmetry group for 
 the cube.
LOCATION:Centre for Mathematical Sciences\, MR14
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