124 citations · 402 across the 57 of their papers we have counts for
87 papers
Independence of the Grothendieck classes of twisted symplectic flag varieties
Goncalo Tabuada
In this short note, making use of the theory of noncommutative motives, we prove that the Grothendieck classes of the twisted symplectic flag varieties are linearly independent and…
Grothendieck classes of quadric hypersurfaces and involution varieties
Goncalo Tabuada
In this article, by combining the recent theory of noncommutative motives with the classical theory of motives, we prove that if two quadrics (or, more generally, two involution va…
Noncommutative Riemann hypothesis
Goncalo Tabuada
In this note, making use of noncommutative -adic cohomology, we extend the generalized Riemann hypothesis from the realm of algebraic geometry to the broad setting of geometric…
Jacques Tits motivic measure
Goncalo Tabuada
In this article we construct a new motivic measure called the . As a first main application of the Jacques Tits motivic…
Motivic Atiyah-Segal completion theorem
Gonçalo Tabuada, Michel Van den Bergh
Let T be a torus, X a smooth quasi-compact separated scheme equipped with a T-action, and [X/T] the associated quotient stack. Given any localizing A1-homotopy invariant of dg cate…
Noncommutative counterparts of celebrated conjectures
Goncalo Tabuada
In this survey, written for the proceedings of the conference K-theory in algebra, analysis and topology, Buenos-Aires, Argentina (satellite event of the ICM 2018), we give a rigor…