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SUMMARY:Birational sheets in linear algebraic groups
DTSTART:20201203T090000
DTEND:20201203T110000
DTSTAMP:20260407T021024Z
UID:a2e1b6617b93d629d86b85505bdc48bb71933a877e5b112e9635f84c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Filippo Ambrosio\, Universita degli Studi di Padova\nIf G is a
 n algebraic group acting on a variety X\, the sheets of X are the irreduci
 ble components of subsets of elements of X with equidimensional G-orbits. 
 For G complex connected reductive\, the sheets for the adjoint action of G
  on its Lie algebra g were studied by Borho and Kraft in 1979. More recent
 ly\, Losev has introduced nitely-many subvarieties of g consisting of equi
 dimensional orbits\, called birational sheets: their de nition is less imm
 ediate than the one of a sheet\, but they enjoy better geometric and repre
 sentation-theoretic properties and are central in Losev's proposal to give
  an Orbit method for semisimple Lie algebras.\n\nIn this seminar\, we defi
 ne an analogue of birational sheets of conjugacy classes in G: we start by
  recalling Lusztig-Spaltenstein induction of conjugacy classes in terms of
  the so-called Springer generalized map and analyse its interplay with bir
 ationality. With this tools\, we give a definition of birational sheets of
  G in the case that the derived subgroup of G is simply-connected.\n\nWe c
 onclude with an overview of the main features of these varieties\, which m
 irror some of the properties of the objects defined by Losev.\n\nzoom pass
 code : 040776\n 
LOCATION:https://epfl.zoom.us/j/87201805512
STATUS:CONFIRMED
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