Polylogarithms, K-theory, and motives III

10 Jun 2025, 10:00
50m
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Clement Dupont

Description

In this mini-course I will try and paint a general landscape where polylogarithms interact with algebraic K-theory via the formalism of motives. The goal will be to explain the idea behind Goncharov’s program, which aims at computing the rational K-theory of fields via explicit complexes involving formal versions of multiple polylogarithms. The emphasis will be put on concrete computations with « low-dimensional » objects such as Li2 and K3.

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