Web• Polylogarithms, Goncharov Program, Mixed Tate motives, Zagier conjecture. • Volumes of Non-Euclidean polytopes. • Cluster algebras and scattering amplitudes. PUBLICATIONS • Rational Elliptic Surfaces and the Trigonometry of … WebApr 8, 2001 · By Goncharov's inversion formula [Gon01, (34)], each inverted polylogarithm Li k (x −1 ) is a rational polynomial in regular polylogarithms Li k (x), logarithms log(x i ) and powers of πi. The ...
Jumpstarting (elliptic) symbol integrations for loop integrals
WebTheir positive real points provide the two higher Teichmüller spaces related to G and S, while the points with values in the tropical semifields provide the lamination spaces. We define the motivic avatar of the Weil–Petersson form for one of these spaces. It is related to the motivic dilogarithm. Download to read the full article text. WebA.B. Goncharov A.B. Goncharov Scientific Council ofCybemetics Vavilova 40 117333 Moscow USSR MPI/91-64 Max-Planck-Institutfür Mathematik Gottfried-Claren-Straße26 … bunchoballoons code
Goncharov conjecture - Wikipedia
WebAlexander Goncharov. I am interested in several areas of Mathematics and Mathematical Physics: Arithmetic Algebraic Geometry: L-functions, mixed motives and motivic Galois groups, polylogarithms, periods, Hodge … WebGoncharov and Levin. We want to give evidence for the claim that polygons and their internal structure are very (mixed Tate) motivic, at least if we work over a field. Definition 1.1. Let R be a set. An R-deco polygon π is an oriented polygon with a distinguished root side and a decoration {sides of π} → R. Webof the cluster polylogarithms associated with the Grassmannian cluster algebra Gr(4;n) determine much of the structure of the planar n-particle MHV amplitude. Because cluster algebras themselves are still new, and cluster polylogarithms newer still, there are many open physical and mathematical questions about these structures. The bunchoballoons.com splash to win