Bernoulli lecture III: Invariants of quadratic forms

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Event details

Date 13.12.2012
Hour 17:15
Speaker Professor Raman Parimala
Location
Category Conferences - Seminars
The classical invariants of quadratic forms are the dimension, discriminant, Clifford invariant and the signature. These suffice to classify quadratic forms over number fields. Milnor's conjecture, which was proved by Voevodsky, proposes a sequence of successive invariants for quadratic forms with values in Galois cohomology, determining completely the form. We explain how this classification could be used to give bounds over a given field, for the dimensions of quadratic forms with no nontrivial zeros.

Practical information

  • General public
  • Free

Organizer

  • Hélène Esnault (U. Duisburg-Essen), Andrew Kresch (U. Zürich), Bjorn Poonen (MIT), Alexei Skorobogatov (Imperial College London)

Contact

  • Rana Gherzeddine

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