# More examples of non-rational adjoint groups

## Nivedita Bhaskhar (Emory)

A k-variety is said to be rational if its function field is purely transcendental over k. In this talk we will focus on varieties of adjoint algebraic groups and on the examples of Merkurjev and Gille of groups of the form PSO(q_i) for quadratic forms q_1 and q_2 which live in the fundamental ideal I and I2 respectively. We end with a recursive construction to produce examples of k_n-quadratic forms q_n in the n-th power of the fundamental ideal in the Witt ring whose corresponding adjoint groups are not (stably) rational.

Tuesday, November 18th, at 4:00pm in HBH 227

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