## Grad Seminar: Quaternion Algebras

Author: UNB

Posted on Mar 24, 2014

Category:
Seminars and Colloquia

#### Graduate Seminar

#### Quaternion Algebras

##### Amir Nasr Azadani (UNB)

##### Tuesday, March 25, 2014 at 11:30 am

##### Tilley Hall Room 124

My talk is on Quaternion algebras. We give the definition of quaternion and split quaternion algebras, splitting fields and norms of elements. After that conics associated with quaternion algebras will be discussed. Then two classical theorems from the 1930s will be mentioned: a theorem of Witt related to associated conics and a theorem of Albert that determines a criterion for the tensor product of two quaternion algebras to be a division algebra.
##### Mr. Azadani is a graduate student of the Mathematics/Statistics GAU

##### This talk is presented in partial fulfillment of the requirements for the degree