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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260603T140000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-49
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:IZAR ALONSO\, RUTGERS UNIVERSITY\n\n_Gauge Theory on hyperkähl
 er manifolds_\n\n$H$-instantons are a distinguished type of connections on
  Riemannian\n$n$-manifolds\, as they are generalizations of anti-self-dual
 \nconnections to manifolds of dimensions greater than 4. Examples of\n$H$-
 instantons include primitive Hermitian Yang--Mills (pHYM)\nconnections\, $
 \\mathrm{Spin}(7)$-instantons\,which have been of great\ninterest in the r
 ecent years\, and the less studied\n$\\mathrm{Sp}(n)$-instantons. In this 
 talk\, I will describe\n$\\mathrm{Sp}(2)$-instantons on hyperk\\\"ahler $8
 $-manifolds and their\nrelations with other gauge-theoretical objects. I w
 ill then describe\nthe construction of examples of $\\mathrm{Sp}(2)$-insta
 ntons\,pHYM\nconnections\, and $\\mathrm{Spin}(7)$-instantons with symmetr
 y on the\nmanifold $T^* \\mathbb{CP}^2$with the Calabi hyperk\\\"ahler str
 ucture.\nThis talk is based on arXiv:2508.17119.\n\nMC 5417
DTSTAMP:20260529T142848Z
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