Area B: Deformations and asymptotics of moduli spaces

PIs: Cortés, Holstein

We will establish connections between generalized complex geometry and homological algebra of the second kind. In particular, we want to explain why the deformation theories of generalized complex manifolds and derived categories are closely related.

PIs: Pomoni, Weigand

We investigate moduli spaces of 4D (Superconformal) QFTs, especially with minimal supersymmetry. Integrability will be key to determine the local geometry of the moduli spaces. In addition we will characterise their global properties, with exciting prospects for holography.

PIs: Weigand, Westphal

We study global properties of quantum moduli spaces from the point of view of algebraic geometry, string theory and general ideas on Quantum Gravity.