Milnor K-groups and differential forms

Speaker: Sergey Gorchinskiy (Steklov Mathematical Institute)
Time: 2025-10-22, 13:00~18:00
Location: 1110, SIMIS

摘要：
The talk is based on a common work with D. Tyurin. We will discuss relative Milnor K-groups for rings with nilpotent ideals. In the case of Q-algebras, they are completely described in terms of differential forms. In the case of p-adic rings, we provide a similar description for K_2 in terms of a version of the Artin-Hasse exponential. This also involves a p-adic version of the Bloch-Winger function.