L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

# Événements du jeudi 21 mars

• #### Séminaire et groupe de travail d’Algèbre du 21 mars

Vladimir Dotsenko (Dublin - Trinity college)

The moduli space of stable rational curves, also known as the Deligne-Mumford compactification \barM_0,n of the moduli space of rational curves with marked points, has been studied in many different areas of mathematics for decades, but some questions about it have remained open until now. An instance of such question is rational homotopy type of this space. I shall show that the rational cohomology of this space is a Koszul algebra (answering a question of Yu. I. Manin, D. Petersen and V. Reiner), and explain how this allows one to compute the rational homotopy Lie algebra of this space in a very explicit way. If time permits, some generalisations will be discussed.

Informations : 13:45 - 14:45 C115
• #### Groupe de travail de Probabilités, statistiques, théorie ergodique du 21 mars

Let $(T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $\mathbb{R}^d$. In
censorship models the r.v. $T$ is subject to random censoring by another r.v. $C$. In this contribution we built a new kernel estimator based on the so-called synthetic data of the mean squared relative error for the regression function. We establish the uniform almost sure convergence with rate