SMS scnews item created by Catherine Meister at Mon 9 Sep 2024 1137
Type: Seminar
Distribution: World
Expiry: 23 Sep 2024
Calendar1: 12 Sep 2024 1300-1400
CalLoc1: SMRI Seminar Room A12-03-301
CalTitle1: Scalable Operators
Auth: cmeister@w95s10l3.staff.sydney.edu.au (cmei0631) in SMS-SAML

SMRI Seminar: Higson -- Scalable Operators

Abstract: The operation of integration is almost - but not quite - the inverse of
differentiation.  In higher dimensions, the problem of determining similar
almost-inverse r elations, involving for instance the Laplace operator or the Dirac
operator, very often on curved spaces, is commonly encountered, and the theory of
pseudodifferential operators was created to solve it.  I shall give an introduction to
the simple, elegant and geometric approach to pseudodifferential operators that was
recently developed by Erik van Erp and Robert Yuncken.  It uses what I call scalable
operators.  The theory of scalable operators offers a convenient and coordinate-free
means of studying algebras of pseudodifferential operators on geometric spaces, as I
shall try to illustrate using the example of symmetric spaces.


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