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math.CT2026
Six functor formalisms via internal higher algebra
Shachar Carmeli, Guy Kapon, Noam Nissan
We extend a six-functor formalism to a lax symmetric monoidal functor of -categories $\mathbf{Span}^2(C,E)^P_I\to\mathbf{Cat}…
math.RT2026
On Representations of Weyl Groups attached to Spherical Varieties
Guy Kapon, Guy Shtotland
To any smooth spherical variety we attach two representations of the Weyl group of . The first is constructed geometrically using Borel Moore homology. The second is con…
math.GT2026
Betti Numbers of Negatively Curved Orbifolds with Coefficients in Arbitrary Fields
Guy Kapon, Raz Slutsky
We show that the Betti numbers of finite-volume negatively curved orbifolds grow at most linearly with the volume, with coefficients in an arbitrary field. In particular, this give…