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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250529T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-145
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:DASHEN YAN\, STONY BROOK UNIVERSITY\n\nNon-degenerate Z_2 harmo
 nic 1-forms on R^n and their geometric\napplications\n\nThe Z_2 harmonic 1
 -form arises in various compactification problems in\ngauge theory\, inclu
 ding those involving PSL(2\,C) connections and\nFueter sections. In this t
 alk\, we will describe a recent construction\nof non-degenerate Z_2 harmon
 ic 1-forms on R^n for n >(=) 3 \, and\nexplore their relation to Lawlor’
 s necks—a family of special\nLagrangian submanifolds in C^n.\n\nWe will 
 also discuss a gluing construction in which these examples are\nglued to a
  regular zero of a harmonic 1-form on a compact manifold.\nThis yields a s
 equence of non-degenerate Z_2 harmonic 1-forms whose\nbranching sets shrin
 k to points. As a result\, we obtain many new\nexamples of non-degenerate 
 Z_2 harmonic 1-forms on compact manifolds.\n\nSTC 0010
DTSTAMP:20260505T184454Z
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