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be a smooth connected projective manifold, together with an snc orbifold divisor
, such that the pair
$(X, \Delta )$
is log-canonical. If
is pseudo-effective, we show, among other things, that any quotient of its...
We show that joinings of higher rank torus actions on
-arithmetic quotients of semi-simple or perfect algebraic groups must be algebraic.
Using Harish-Chandra induction and restriction, we construct a categorical action of a Kac-Moody algebra on the category of unipotent representations of finite unitary groups in non-defining characteristic. We show that the decategorified representation is naturally isomorphic to a direct sum of...
In mixed characteristic and in equal characteristic
we define a filtration on topological Hochschild homology and its variants. This filtration is an analogue of the filtration of algebraic
-theory by motivic cohomology. Its graded pieces are related in mixed characteristic...
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