Personal tools
You are here: Home Events On the derived category of the classical Godeaux surface

On the derived category of the classical Godeaux surface

— filed under:

Christian Böhning (Hamburg)

What
  • SFB-Kolloquium
When Jun 28, 2012
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
Add event to calendar vCal
iCal

Abstract: We construct an exceptional sequence of length 11 on the classical Godeaux surface X which is the Z/5-quotient of the Fermat quintic surface in P3. This is the maximal possible length of such a sequence on this surface which has Grothendieck group Z11+Z/5. In particular, the result answers Kuznetsov's Nonvanishing Conjecture, which concerns Hochschild homology of an admissible subcategory, in the negative. The sequence carries a symmetry when interpreted in terms of the root lattice of the simple Lie algebra of type E8. We also produce explicit nonzero objects in the (right) orthogonal to the exceptional sequence.