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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240214T133000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-72
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:KALEB D. RUSCITTI\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY
  OF\nWATERLOO\n\n\"UNDERSTANDING THE LOCAL BEHAVIOUR OF A TORIC DEGENERATI
 ON OF THE\nMODULI OF HOLOMORPHIC BUNDLES\"\n\nThere is a toric degeneratio
 n of the moduli space of holomorphic\nsemi-stable rank 2 bundles on a Riem
 ann surface\, induced by a\ndegeneration of the Riemann surface along 2g-2
  loops. Biswas and\nHurtubise gave an explicit local description of this d
 egeneration in\nterms of the connection matrices that define the holomorph
 ic structure\non the bundles.\n\nIn this talk\, I will discuss my ongoing 
 project to understand how the\nfunctions on the moduli space behave under 
 this degeneration. I will\nbegin by reviewing the relationship between sec
 tions of bundles on\ntoric varieties and lattice points in their moment po
 lytopes. Then I\nwill try to use this theory to work out explicitly what h
 appens to\nfunctions in the case of the toric degeneration for the aforeme
 ntioned\nmoduli space.\n\nMC 5417
DTSTAMP:20260505T133128Z
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