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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260505T110000
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URL:https://uwaterloo.ca/pure-mathematics/events/phd-thesis-defense-16
SUMMARY:PhD Thesis Defense
CLASS:PUBLIC
DESCRIPTION:YASH SINGH\, UNIVERSITY OF WATERLOO\n\n_Vector bundles on toric
  stacks_\n\nThis thesis is concerned with a generalization of Klyachko's\n
 classification of toric vector bundles to toric stacks.The work of\nKlyach
 ko gave an elegant method of studying toric vector bundles\nthrough filtra
 tions of a vectorspace. We extend these techniques to\nvector bundles on a
  toric stack and generalize the aspects of\nKlyachko'swork to a more geome
 tric setting. In particular\, we show\nthat the category of reflexive shea
 ves on a toric stack isequivalent\nto a category of filtered reflexives sh
 eaves of its largest\nDeligne-Mumford substack. We then combinethis with a
 n equivariant\nversion of Gubeladze's result on the splitting of vector bu
 ndles on\ntoric varieties to provea classification theorem for vector bund
 les on\ntoric stacks.\n\nMC 5403
DTSTAMP:20260511T160707Z
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