More examples of non-rational adjoint groups
Event details
| Date | 25.06.2014 |
| Hour | 14:15 › 15:15 |
| Speaker | Nivedita Bhaskhar (Emory University, Atlanta) |
| Location | |
| Category | Conferences - Seminars |
A k-variety is said to be rational if its function field is purely transcendental over k. The first example of a non-rational adjoint k-group PSO(q) was given by Merkurjev as a consequence of his computations of R-equivalence classes of adjoint classical groups. The quadratic form in question has non-trivial discriminant which property is used crucially in the proof. Gille provided the first example of a quadratic form of trivial discriminant whose associated adjoint group is non-rational. In this talk we give 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 PSO (q_n) are not (stably) rational.
Practical information
- Informed public
- Free
Contact
- Monique Kiener