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DTSTART;TZID=America/Toronto:20250925T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-jesse-huang
SUMMARY:Algebraic and enumerative combinatorics seminar-Jesse Huang
CLASS:PUBLIC
DESCRIPTION:TITLE: A Combinatorial Gateway to Calabi-Yau Toric Geometry\n\n
 Speaker\n Jesse Huang\n\nAffiliation\n University of Waterloo\n\nLocation\
 n MC 6029\n\nABSTRACT: The goal of this talk is to introduce Calabi-Yau t
 oric\ngeometry from a purely combinatorial perspective\, through the rich\
 nstructures carried by an embedded bipartite graph on a torus called a\ndi
 mer model.\n\nIn the pre-talk\, we will demonstrate how matchings\, tiling
 s\, and\nquivers naturally encodes deep geometric and physical content. No
 \nbackground in algebraic geometry will be assumed\; instead\, we’ll\nbu
 ild the story from the ground up\, with an emphasis on visual\nintuition a
 nd discrete structures.\n\nNext\, I will discuss how dimer models simultan
 eously encode the data\nof a toric Calabi-Yau singularity and its mirror d
 ual\, unifying\nperspectives from the B-model and A-model of homological m
 irror\nsymmetry through noncommutative algebras. We will proceed with some
 \nrecent developments and open problems\, including connections to the\nsy
 mplectic geometry of Landau-Ginzburg models and Van den Bergh’s\nnoncomm
 utative resolution conjecture for toric Gorenstein affine\nsingularities. 
 To conclude the talk\, we will discuss an example of a\nhigher dimensional
  generalization and its connection to my recent\nresearch works.\n\nThis t
 alk is also partially based on two undergraduate research\nprojects in the
  present semester\, where we study variations of dimer\nmodels of the same
  lattice polygon from different choices in the fast\ninverse algorithm\, a
 nd implications on the two sides of mirror\nsymmetry:\n\n- (DRP) Dimer Var
 iation and Geometry of Landau-Ginzburg Models\, with\nKenneth Xiao and Eli
 zabeth Cai (A-model)\n\n- (NSERC USRA) Dimer Variation and NCCR Mutations\
 , with Filip Mildrag\nand Elana Kalashnikov (B-model)\n\nTHERE WILL BE A P
 RE-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL
  STARTING AT 1:30PM.
DTSTAMP:20260402T154719Z
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