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SUMMARY:Zijun Zhou (IPMU)
DTSTART:20210412T220000Z
DTEND:20210412T230000Z
DTSTAMP:20260423T010336Z
UID:UBC-AG/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC-AG/23/">
 3d mirror symmetry\, vertex function\, and elliptic stable envelope</a>\nb
 y Zijun Zhou (IPMU) as part of UBC Vancouver Algebraic Geometry Seminar\n\
 n\nAbstract\n3d mirror symmetry is a duality in physics\, where Higgs and 
 Coulomb branches of certain pairs of 3d N=4 SUSY gauge theories are exchan
 ged with each other. Motivated from this\, M. Aganagic and A. Okounkov int
 roduced the enumerative geometric conjecture that the vertex functions of 
 the mirror theories are related to each other. The two sets of q-differenc
 e equations satisfied by the vertex functions\, in terms of the K\\"ahler 
 and equivariant parameters\, are expected to exchange with each other. The
  conjecture therefore leads to a nontrivial relation between their monodro
 my matrices\, the so-called elliptic stable envelopes. In this talk\, I wi
 ll discuss the proof in several cases of the conjecture for both vertex fu
 nctions and elliptic stable envelopes. This is based on joint works with R
 . Rim\\'anyi\, A. Smirnov\, and A. Varchenko.\n
LOCATION:https://researchseminars.org/talk/UBC-AG/23/
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