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

Francesca Ferrari, *SISSA Trieste*

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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.

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

Paolo Benincasa, *Niels Bohr Institute*

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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.

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

João Caetano, *Simons Center for Geometry and Physics*

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Integrability in AdS/CFT

We give an introduction to integrability in AdS/CFT.

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02/03/2020, 15:00 — 16:00 —
Room P3.10, Mathematics Building

Simon Ross, *Durham University*

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KdV Charges in 2D CFT

Two-dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges, built out of the stress tensor. We compute the thermal correlation functions of the these KdV charges on a circle. We show that these correlation functions are given by quasi-modular differential operators acting on the torus partition function.