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DTSTART:20250309T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20251106T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-166
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:FACUNDO CAMANO\, UNIVERSITY OF WATERLOO\n\n_Dimensional Reducti
 on of S^1-Invariant Instantons on the\nMulti-Taub-NUT_\n\nIn this talk I w
 ill discuss the dimensional reduction of S^1-invariant\ninstantons on the 
 multi-Taub-NUT space to singular monopoloes on\n\\mathbb{R}^3. I will firs
 t introduce the multi-Taub-NUT space\,\nfollowed up by a discussion on S^1
 -equivariant principal bundles.\nNext\, I will go over the natural decompo
 sition of S^1-invariant\nconnections into horizontal and vertical pieces\,
  and then show how the\nself-duality equation reduces to the Bogomolny equ
 ation under said\ndecomposition. I will then show how the smoothness of th
 e instanton\nover the NUT points determines the asymptotic conditions for 
 the\nsingular monopole. Finally\, I will go over the reverse construction:
 \nstarting with a singular monopole on \\mathbb{R}^3 and building up to\na
 n S^1-invariant instanton on the multi-Taub-NUT space.\n\nMC 5403
DTSTAMP:20260503T093158Z
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