On Beauville's conjectural weak splitting property
Ulrike Riess Seminar  Algebraic Geometry (SAG)
What 


When 
Nov 13, 2014 from 10:30 am to 11:30 am 
Where  Bonn, Hörsaal MPI, Vivatsgasse 7 
Contact Name  sachinid 
Add event to calendar 
vCal iCal 
We present a recent result on the Chow ring of irreducible symplectic varieties.
The main object of interest is Beauville's conjectural weak splitting property, which
predicts the injectivity of the cycle class map restricted to a certain subalgebra of the
rational Chow ring (the subalgebra generated by divisor classes). For special irreducible
symplectic varieties we relate it to a conjecture on the existence of rational Lagrangian
brations.
After deducing that this implies the weak splitting property in many new cases, we
present parts of the proof.