### 22/10/2019, 16:00 — 17:00 — Room P3.10, Mathematics Building

Michele Cirafici, *University of Trieste*

### Supersymmetric line operators and their spectral problem

I will discuss BPS invariants associated with quantum line operators in certain supersymmetric quantum field theories. Such operators can be specified via geometric engineering in the UV by assigning a path on a certain curve. In the IR they are described by representation theory data. I will discuss the associated BPS spectral problem and the relevant indices.

Note: unusual date

### 18/11/2019, 15:00 — 16:00 — Room P3.10, Mathematics Building

Francesca Ferrari, *SISSA Trieste*

### $3d$ Modularity

We find and propose an explanation for a large variety of modularity-related symmetries in problems of $3$-manifold topology and physics of $3d$ $N=2$ theories, where such structures a priori are not manifest.

### 09/12/2019, 15:00 — 16:00 — Room P3.10, Mathematics Building

Paolo Benincasa, *Niels Bohr Institute*

### 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 $AdS_2$ geometry. We use the framework of SLE curves in $AdS_2$ to classify these particle trajectories in terms of their boundary conditions.