Torsion for cubes of hermitian vector bundles and the covariant functoriality of higher arithmetic K-theory
Time: Thu, 9 May 2019, 13:30-15:05
Place: First conference room at Jinchunyuan West Building (近春园西楼)
Speaker: Shun Tang (Capital Normal University)
Abstract:
As an overview of Arakelov geometry, we first introduce several Riemann-Roch problems for arithmetic K0-groups. They deduce various interesting structural and quantitative statements which relate arithmetical invariants of algebraic varieties to special values of logarithmic derivatives of L-functions. Then we turn to higher arithmetic K-theory, we establish its covariant functoriality by using analytic torsion for cubes of hermitian vector bundles.