4 citations · 4 across the 6 of their papers we have counts for
8 papers · 1 filter
A construction of the polylogarithm motive
Clément Dupont, Javier Fresán
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line , which is an extension…
Une introduction aux périodes
Javier Fresán
This survey article is the outgrowth of two talks given at the Journées X-UPS "Périodes et transcendance" at École polytechnique. Periods are complex numbers whose real and imagina…
Quantitative sheaf theory
W. Sawin, A. Forey, J. Fresán +1
We introduce a notion of complexity of a complex of ell-adic sheaves on a quasi-projective variety and prove that the six operations are "continuous", in the sense that the complex…
Quadratic relations between Bessel moments
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
Motivated by the computation of certain Feynman amplitudes, Broadhurst and Roberts recently conjectured and checked numerically to high precision a set of remarkable quadratic rela…
Quadratic relations between periods of connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption…
Équirépartition de sommes exponentielles (travaux de Katz)
Javier Fresán
Many exponential sums over finite fields, including Gauss sums and Kloosterman sums, arise as the Fourier transform with respect to a character of the trace function of an -a…