Equivalence of quadratic forms over p-adic fields

Abstract: 

Clifford algebras are very useful in the classification of quadratic forms. In this talk, I will focus on one of the invariant of quadratic form, the Hasse invariant. The definition and properties of the Hasse invariant are based on quaternion algebras and Clifford algebras. This invariant along with two other can be used to completely classify quadratic forms over p-adic field.