Dear all, I would like to announce the talk by Nedialko Bradinoff this coming Monday. Best wishes, Maurice Duits Speaker: Nedialko Bradinoff (Royal Institute of Technology, KTH) Date: Monday November 9 Time: 16:15–17:15 Place: Sala di Consiglio, Mathematics Department Guido Castelnuovo, Sapienza Universita Title: On CUE linear statistics with slowly decaying Fourier coefficients Abstract: The Circular Unitary Ensemble, introduced by Dyson in the 1960s, is one of the fundamental models in random matrix theory. In this talk I will focus on the study of its linear statistics from the perspective of a beautiful connection to Toeplitz determinants. Starting with the celebrated Strong Szegö Limit Theorem for functions $f$ in $H^{1/2}$, I will pass through overviewing some asymptotic results regarding linear statistics with Fisher-Hartwig singularities which are an object of active research and have been crucial to beautiful applications including connections to the study of the Ising model and convergence to Gaussian multiplicative chaos measures. This will lead the talk to recent joint results with Maurice Duits about a broader class of linear statistics associated to functions $f$ with Fourier coefficients $f_k=\mathcal{O}(1/k)$. I will discuss the operator theoretic approach of the proof in this work making use of the Baker-Campbell-Hausdorff formula from Lie algebras. -- *Fai crescere le giovani ricercatrici e i giovani ricercatori*** *con il  5 per mille alla Sapienza* Scrivi il codice fiscale dell'Università  *80209930587 **Cinque per mille <https://www.uniroma1.it/it/node/23149>*