## Date:

**Lorenz Eberhardt (Physics)**

IAS

**Title: Partition functions in 3d gravity**

Abstract: I will discuss 3d gravity with negative cosmological constant via canonical quantization. This formulation is in many ways complementary to the more often discussed path integral in Euclidean gravity. One can use canonical quantization to compute partition functions of gravity on topologies that do not admit classical solutions to Einsteins field equations which gives rise to interesting challenges for the gravitational path integral. I will discuss these challenges, their partial resolution in a special chiral theory of gravity and the implications for holography.

Bio: Eberhardt is a postdoctoral long-term member at the Institute for Advanced Study in Princeton. He obtained his PhD at ETH Zurich, where he worked on the AdS3/CFT2 correspondence in string theory. He is now broadly interested in two-dimensional CFTs, 3d gravity, perturbative string theory and its scattering amplitudes. His work has led to a perturbative proof of the AdS3/CFT2 correspondence in special cases and a complete solution of the pure NS-NS flux worldsheet theory on AdS3.