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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251120T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-168
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 monopolos on R^3. I\nwill first introduce
  the multi-Taub-NUT space\, followed up by a\ndiscussion on S^1-equivarian
 t principal bundles. Next\, I will go over\nthe natural decomposition of S
 ^1-invariant connections into horizontal\nand vertical pieces\, and then s
 how how the self-duality equation\nreduces to the Bogomolny equation under
  said decomposition. I will\nthen show how the smoothness of the instanton
  over the NUT points\ndetermines the asymptotic conditions for the singula
 r monopole.\nFinally\, I will go over the reverse construction: starting w
 ith a\nsingular monopole on R^3 and building up to an S^1-invariant instan
 ton\non the multi-Taub-NUT space.\n\nMC 5403
DTSTAMP:20260501T202430Z
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