Seminaire Bourbaki: volume 2023/2024, exposes 1211-1226

Includes bibliography

Bourbaki Presentation 1211: Recent Progress on Supercuspidal Representations -- Bourbaki Presentation 1212: Analytical extension of functions ζ and functions L -- Bourbaki Lecture 1213: Two proofs of the P=W conjecture (after Maulik-Shen, Hausel-Mellit-Minets-Schiffmann) -- Bourbaki Presentation 1214: Cohomology of moduli spaces of curvesvihas tropical geometry and graph complexes (after M. Chan, S. Galatius and S. Payne) -- Bourbaki Lecture 1215: Orientability of the Moduli Space of Real Applications and Real Gromov-Witten Theory (after Penka Georgieva and Aleksey Zinger) -- Bourbaki Lecture 1216: Exotic Subgroups of Hyperbolic Groups -- Bourbaki Presentation 1217: Stability of Schwarzchild and Kerr Black Holes -- Bourbaki Lecture 1218: Derivation of the kinetic equation associated with the cubic Schrödinger equation [after Yu Deng and Zaher Hani] -- Bourbaki Presentation 1219: Cutoff phenomenon for Markov chains with positive curvature (after Justin Salez) -- Bourbaki Presentation 1220: μ-bubbles and varieties with strictly positive scalar curvature in dimensions and (according to O. Chodosh, C. Li and Y. Liokumovich) -- Bourbaki Lecture 1221: Profinite completion and geometry of groups (after Martin R. Bridson, Alan Reid,...) -- Bourbaki Lecture 1222: Nonlinear Gibbs measurements and mean-field limits for quantum systems (after Lewin, Nam and Rougerie) -- Bourbaki Presentation 1223: Broken Books for Reeb Dimensional Streams (according to Colin, Dehornoy and Rechtman) -- Bourbaki Presentation 1224: Constructions of new Euler systems -- Bourbaki Lecture 1225: An Overview of Persistence Modules and Their Applications -- Bourbaki Lecture 1226: Uniformity in Diophantine geometry

This 75th volume of the Bourbaki Seminar contains the texts of the sixteen presentations presented during the year 2023/2024: supercuspidal representations, analytical extension of functions L, two proofs of the conjecture P= W, cohomology of moduli spaces of curves via tropical geometry, real Gromov-Witten theory, exotic subgroups of hyperbolic groups, stability of black holes, kinetic equation associated with the Schrödinger equation, cut-off phenomenon for Markov chains, varieties with strictly positive scalar curvature, profinite completion and topology of 3-dimensional varieties, nonlinear Gibbs measures and mean-field limits, broken books for Reeb flows, construction of new Euler systems, persistence moduli and their applications, uniformity in Diophantine geometry.