The Standard Model of particle physics (SM) has been challenged in recent years by measurements from the LHCb collaboration involving rare B meson decays. These processes, involving a b -> s ll quark transition, are highly suppressed, happening less than once in a million decays. Thus, they offer an ideal testing ground for the flavour sector of the SM, as any enhancements in their rates would be a smoking gun for New Physics (NP) phenomena. So far, most of these discrepancies have been reported in decays involving muons, while processes involving electrons are still largely unexplored experimentally. If NP is behind the current anomalies, b -> s ee decays, with their unique experimental signatures, can independently probe this. This talk will cover the experimental challenge of decays with electrons in their final state, focussing on angular analyses, and how they can improve our understanding of the so-called "flavour anomalies”.

<p><span style="background-color: rgb(255, 255, 255); color: rgb(36, 36, 36);">I will discuss the role of symmetry breaking and quantum geometry in fractionalisation, in particular in the context of fractional Chern insulators and moiré materials. Theorems regarding ideal geometry conditions, curvature flatness and density algebras will be discussed, along with heuristics for finding novel states of matter such as Hall crystals and non-Abelian liquids. These considerations suggest that quantum geometry is a useful organising language rather than the fundamental explanation. I will close with some insights from non-Hermitian generalisations of fractional Chern insulators.</span></p><p><br></p>

When cooled to liquid helium temperature, organic molecules demonstrate remarkable optical properties. Over the past three decades, these have been exploited in different single-molecule quantum optical settings, including coherent near-field measurements, far-field realization of efficient extinction, various nonlinear studies as well as single-molecule strong coupling in a microcavity. More recently, we have also reported on cooperative coherent interaction of several individual molecules via a common cavity mode. I will discuss a new line of experiments in which we explore the interaction of molecules with the phononic degrees of freedom of their surrounding matrix. In particular, I will show how a single molecule can act as a nanothermometer with unprecedented sub-milliKelvin sensitivity. If time allows, I will also present new data on Fourier-limited transitions of single molecules on the surface of a crystal and the potential of combining this high spectral resolution with angstrom spatial resolution in scanning probe microscopy.