12 citations · 52 across the 18 of their papers we have counts for
5 papers · 2 filters
Étale homological stability and arithmetic statistics
Benson Farb, Jesse Wolfson
We contribute to the arithmetic/topology dictionary by relating asymptotic point counts and arithmetic statistics over finite fields to homological stability and representation sta…
Geometric and analytic structures on the higher adèles
Oliver Braunling, Michael Groechenig, Jesse Wolfson
The adèles of a scheme have local components - these are topological higher local fields. The topology plays a large role since Yekutieli showed in 1992 that there can be an abunda…
Operator ideals in Tate objects
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Tate's central extension originates from 1968 and has since found many applications to curves. In the 80s Beilinson found an n-dimensional generalization: cubically decomposed alge…
Topology and arithmetic of resultants, II: the resultant hypersurface (with an appendix by C. Cazanave)
Benson Farb, Jesse Wolfson
We consider the moduli space of pairs of monic, degree polynomials whose resultant equals . We relate the topology of these algebraic varieties to their geom…
Topology and arithmetic of resultants, I: spaces of rational maps
Benson Farb, Jesse Wolfson
We consider the interplay of point counts, singular cohomology, étale cohomology, eigenvalues of the Frobenius and the Grothendieck ring of varieties for two families of varieties:…