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SUMMARY:Moduli of Parabolic Bundles\, Quiver Representations\, and the add
itive Deligne-Simpson problem
DTSTART;VALUE=DATE-TIME:20130718T123000Z
DTEND;VALUE=DATE-TIME:20130718T133000Z
DTSTAMP;VALUE=DATE-TIME:20200716T045731Z
UID:indico-event-497@indico.math.cnrs.fr
DESCRIPTION:The "very good" property for algebraic stacks was introduced b
y Beilinson and Drinfeld in their paper "The Quantization of Hitchin's Int
egrable System and Hecke Eigensheaves". They proved that for a semisimple
complex group G\, the moduli stack of G-bundles over a smooth complex proj
ective curve X is "very good" as long as X has genus g > 1. We will introd
uce the "very good" property in the context of a group action on an algebr
aic variety\, and prove it for a moduli space of parabolic bundles on P1 a
rising from quiver representations. As a special case\, we will consider t
he "very good" property for the diagonal action of the group PGL(n) on a p
roduct of partial flag varieties and its relationship with the space of so
lutions to the additive Deligne-Simpson problem.\n\nhttps://indico.math.cn
rs.fr/event/497/
LOCATION:IHES Amphitéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/497/
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