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DTSTART:20230312T070000
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DTSTART:20231105T060000
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UID:69f9f10f56c33
DTSTART;TZID=America/Toronto:20240215T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240215T153000
URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 149
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:CARLOS VALERO\, MCGILL UNIVERSITY\n\n\"THE CALDERÓN PROBLEM FO
 R U(N)-CONNECTIONS COUPLED TO SPINORS\"\n\nThe Calderón problem refers to
  the question of whether one can\ndetermine the Riemannian metric on a man
 ifold with boundary from its\n\"Dirichlet-to-Neumann (DN) map\"\, which ma
 ps a function on the boundary\nto the normal derivative of its harmonic ex
 tension. In this talk\, we\ndefine the analogue of the DN map for the spin
 or Laplacian twisted by\na unitary connection and show that it is a pseudo
 differential operator\nof order 1\, whose symbol determines the Taylor ser
 ies of the metric\nand connection at the boundary. We go on to show that i
 f all the data\nare real-analytic\, then the spinor DN map determines the 
 connection\nmodulo gauge.\n\nMC 5417
DTSTAMP:20260505T133055Z
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