The u-invariant and the symbol length in Kato-Milne cohomology

Seminar
Speaker
Dr. Adam Chapman (Tel-Hai College)
Date
07/03/2018 - 11:30 - 10:30Add to Calendar 2018-03-07 10:30:00 2018-03-07 11:30:00 The u-invariant and the symbol length in Kato-Milne cohomology Various connections between the u-invariant of a field and the symbol length in Milnor K-theory and Kato-Milne cohomology have been proven in recent years. Karshen and Saltman have each proven independently that when the characteristic is different from 2, the finiteness of the u-invariant implies the finiteness of the symbol length in all Milnor K-groups. We present the analogous result in the case of characteristic two. Unlike the previous case, in this case we are able to provide an explicit upper bound for the symbol length. The talk is based on joint work with Kelly McKinnie. Third floor seminar room אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room
Abstract

Various connections between the u-invariant of a field and the symbol length in Milnor K-theory and Kato-Milne cohomology have been proven in recent years.

Karshen and Saltman have each proven independently that when the characteristic is different from 2, the finiteness of the u-invariant implies the finiteness of the symbol length in all Milnor K-groups.

We present the analogous result in the case of characteristic two.

Unlike the previous case, in this case we are able to provide an explicit upper bound for the symbol length.

The talk is based on joint work with Kelly McKinnie.

תאריך עדכון אחרון : 01/03/2018