January 2018 |

4:00 pm Tuesday, February 6, 2018 AGNT: Stability conditions and rational elliptic surfacesby Tom Sutherland (Uni. Mainz) in HBH 227- I will describe the space of Bridgeland stability conditions of the derived category of some CY3 algebras of quivers coming from dimer models on the Riemann sphere. We give a biholomorphic map from the upper-half plane to the space of stability conditions lifting the period map of a meromorphic differential on a 1-dimensional family of elliptic curves, the complement of certain singular fibres in a rational elliptic surface. The map is equivariant with respect to the actions of a congruence subgroup of PSL(2, Z), on the left by monodromy of the rational elliptic surface and on the right by autoequivalences of the derived category.
Submitted by jb93@rice.edu |