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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240927T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-19
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:ROBERTO ALBESIANO\, UNIVERSITY OF WATERLOO\n\nA degeneration a
 pproach to Skoda’s division theorem\n\nLet h1\, …\, hr be fixed holomo
 rphic sections of E* ⊗ G → X\, where\nE\,G are holomorphic line bundle
 s over a Stein manifold X. Is it always\npossible to write a holomorphic s
 ection g of G as a linear combination\ng = h1 ⊗ f1 + … + hr ⊗ fr \, 
 with f1\, …\, fr holomorphic\nsections of E? In 1972\, H. Skoda proved a
  theorem addressing this\nquestion and giving L2 bounds on the minimal-L2-
 norm solution. I will\nsketch a new proof of a Skoda-type theorem inspired
  by a degeneration\nargument of B. Berndtsson and L. Lempert. In particula
 r\, we will see\nhow to obtain L2 bounds on the solution (f1\, …\, fr) w
 ith minimal L2\nnorm by deforming a weight on the space of all linear comb
 inations v1\n⊗ f1 + … + vr ⊗ fr to single out the linear combination
  h1 ⊗\nf1 + … + hr ⊗ fr we are interested in.\n\nMC 5417
DTSTAMP:20260504T235010Z
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