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SUMMARY:Ana Balibanu (Harvard)
DTSTART;VALUE=DATE-TIME:20220304T200000Z
DTEND;VALUE=DATE-TIME:20220304T210000Z
DTSTAMP;VALUE=DATE-TIME:20220816T050306Z
UID:agstanford/79
DESCRIPTION:Title: Regular centralizers and the wonderful compactification\nby Ana Ba
libanu (Harvard) as part of Stanford algebraic geometry seminar\n\n\nAbstr
act\nThe universal centralizer of a complex semisimple adjoint group G is
the family of regular centralizers in G\, parametrized by the regular conj
ugacy classes. It has a natural symplectic structure which is inherited fr
om the cotangent bundle of G. I will construct a smooth\, log-symplectic r
elative compactification of this family using the wonderful compactificati
on of G. Its compactified centralizer fibers are isomorphic to Hessenberg
varieties\, and its symplectic leaves are indexed by root system combinato
rics. I will also explain how to produce a multiplicative analogue of this
construction\, by moving from the Poisson to the quasi-Poisson setting.\n
\nThe synchronous discussion for Ana Balibanuâ€™s talk is taking place not
in zoom-chat\, but at https://tinyurl.com/2022-03-04-ab (and will be dele
ted after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/79/
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