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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260729T140000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-viktor-majewski
SUMMARY:Differential Geometry Working Seminar | Viktor Majewski |\nDegenera
 tions of exotic Calabi-Yau metrics through Atiyahs flop
CLASS:PUBLIC
DESCRIPTION:VIKTOR MAJEWSKI (UNIVERSITY OF WATERLOO)\n\n_Degenerations of e
 xotic Calabi-Yau metrics through Atiyahs flop_\n\nThe small resolution of 
 the three-dimensional ordinary double point\ncarries the classical Candela
 s–de la Ossafamily of asymptotically\nconical Calabi–Yau metrics. In t
 his talk\, I will describe the\nconstruction of a new one-parameter family
  of complete Calabi–Yau\nmetrics on the same complex manifold. The const
 ruction begins withan\nexplicit family of U(2)-invariant Kähler metrics a
 dapted to the\ngeometry of the exceptional curve and theasymptotic conical
  end. After\nestablishing uniform Sobolev\, curvature\, and volume-growth 
 estimates\,\none solvesthe noncompact complex Monge–Ampère equation to 
 obtain\nRicci-flat metrics in the corresponding Kählerclasses. A central\
 nissue is to understand the behaviour of this family as the area of the\ne
 xceptional curve tends tozero. I will explain how a combination of\nweight
 ed pluripotential estimates\, Chern–Lu inequalities\,\nsymmetry\,and ana
 lysis on the conifold yields uniform control away from\nthe exceptional se
 t and produces a singularCalabi–Yau metric on the\nconifold. The resulti
 ng degeneration has a different local geometric\nprofile from theclassical
  Candelas–de la Ossa degeneration\,\nproviding an exotic family of Calab
 i–Yau metrics on the\nresolvedconifold\n\nMC 5417
DTSTAMP:20260727T172500Z
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