On Rationally Isomorphic Quadratic Forms
Event details
| Date | 28.04.2015 |
| Hour | 15:15 › 16:15 |
| Speaker | Uriya First - University of British Columbia |
| Location | |
| Category | Conferences - Seminars |
Let $R$ be a discrete valuation ring with fraction field $F$. Two algebraic objects (say, quadratic forms) defined over $R$ are said to be rationally isomorphic if they become isomorphic after extending scalars to $F$. In the case of unimodular quadratic forms, it is a classical result that rational isomorphism is equivalent to isomorphism. This has been recently extended to "almost unimodular" forms by Auel, Parimala and Suresh. We will present further generalizations to hermitian forms over (certain) involutary $R$-algebras and quadratic spaces equipped with a group action ("G-forms"). The results can be regarded as versions of the Grothendieck-Serre conjecture for certain non-reductive groups.
(Joint work with Eva Bayer-Fluckiger.)
(Joint work with Eva Bayer-Fluckiger.)
Practical information
- Informed public
- Free
Organizer
- Prof. Eva Bayer
Contact
- Natascha Fontana