# String Theory Seminar

## Planned sessions

### A look into $3d$ modularity

Since the 1980s, the study of invariants of 3-dimensional manifolds has benefited from the connections between topology, physics and number theory. Motivated by the recent discovery of a new homological invariant (corresponding to the half-index of certain $3d$ $N=2$ theories), in this talk I describe the role of quantum modular forms, mock and false theta functions in the study of $3$-manifold invariants. The talk is based on 1809.10148 and work in progress with Cheng, Chun, Feigin, Gukov, and Harrison.

### An SLE approach to four dimensional black hole microstate entropy

We model the Bekenstein-Hawking entropy of a four dimensional extremal black hole in terms of classifying particles moving in its near horizon $\operatorname{AdS}_2$ geometry. We use the framework of SLE curves in $\operatorname{AdS}_2$ to classify these particle trajectories in terms of their boundary conditions.