Algebraic and Arithmetic Geometry Seminar
# The J-invariant of linear algebraic groups of outer type

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Europe/Rome

Aula Seminari (Department of Mathematics)
### Aula Seminari

#### Department of Mathematics

Description

The J-invariant is a discrete invariant of semisimple

algebraic groups which describes the motivic behavior of the variety of

Borel subgroups. This invariant was an important tool to solve several

long-standing problems. For example, it plays an important role in the

progress on the Kaplansky problem about possible values of the

u-invariant of fields by Vishik. In the talk I would like to present a

generalization of the J-invariant to groups of outer type and describe

some new combinatorial patterns for Chow groups and motives.