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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240215T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics-geometry-topology/events/calderon
 -problem-connections-coupled-spinors
SUMMARY:The Calderón problem for U(N)-connections coupled to spinors
CLASS:PUBLIC
DESCRIPTION:CARLOS VALERO\, MCGILL UNIVERSITY\n\nThe Calderón problem refe
 rs to the question of whether one can\ndetermine the Riemannian metric on 
 a manifold with boundary from its\n\"Dirichlet-to-Neumann (DN) map\"\, whi
 ch maps a function on the boundary\nto the normal derivative of its harmon
 ic extension. In this talk\, we\ndefine the analogue of the DN map for the
  spinor Laplacian twisted by\na unitary connection and show that it is a p
 seudodifferential operator\nof order 1\, whose symbol determines the Taylo
 r series of the metric\nand connection at the boundary. We go on to show t
 hat if all the data\nare real-analytic\, then the spinor DN map determines
  the connection\nmodulo gauge.\n\nMC 5417
DTSTAMP:20260315T161853Z
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