Charlotte Sleight - 1/4 Cosmological Bootstrap @IhesFr

Uploaded July 2026 | Updated September 2026, 3 weeks ago

These lectures present the bootstrap approach to cosmological correlators, organised around the guiding principles—symmetries and consistency conditions—that govern them. Topics include: - Symmetries and constraints, - Analyticity and unitarity, - Computational tools.

Massimo Taronna (University of Naples)

===

Find this and many more scientific videos on carmin.tv - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.

===

Charlotte Sleight - 1/4 Cosmological Bootstrap

Marko Simonovic - 4/4 Effective Field Theory of Large Scale Structure

Duong Phong - The Einstein Equation in Kähler Geometry

$Arthur-César Le Bras - Geometric Aspects of the $p$-adic Locally Analytic Langlands (...) The goal of these lectures is to discuss some aspects of the geometrization of the $p$-adic Langlands program (more precisely, the part of it which deals with locally analytic representations on topological $mathbb{Q}_p$-vector spaces). The lectures by Hellmann (based on joint work with Hernandez and Schraen and with Heuer) will focus on the « Galois » side, introducing moduli stacks of (variants of) $p$-adic Galois representations and on the study of their geometry. The lectures of Le Bras (based on joint work with Anschütz, Rodriguez Camargo, Scholze) will focus on the « automorphic » side, explaining how to realize locally analytic representations as sheaves on a variant of Fargues-Scholze’s stack of $G$-bundles on the Fargue-Fontaine curve. Arthur-César Le Bras (Université de Strasbourg) Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.$

Ugo Moschella - De Sitter, anti De Sitter and all that

Raffaele D’Agnolo - 1/3 Beyond-the-Standard-Model meets Cosmological Correlators

Vladimir Fock - Steinberg symbol and tau function

$Arthemy Kiselev - The Wronskians over Multidimension and Homotopy Lie Algebras The Wronskian determinant of $N$ functions in one variable $x$ helps us verify that they are linearly independent on an interval $(a, b)$ in ${mathbb R}$. Can we have an equally convenient procedure over multidimensional spaces ${mathbb R}^d$ with Cartesian coordinates $x, y, z, . . .$ ? Yes we can; let us study the definition of Wronskians for functions in many variables, and let us explore which differential-algebraic identities these structures satisfy. To see why the Wronskian determinants actually do satisfy a set of quadratic, Jacobi-type identities, we observe first that the Wronskian of size $2 times 2$ results from commutation of vector fields on the real line ${mathbb R}$. From differential geometry we know that vector fields are differential operators of strict order $p = 1$. By taking the alternated composition of $N = 2p$ differential operators of strict order $p gt 0$ on the affine line, we obtain the operator of same order $p$ with the Wronskian determinant for coefficient. As we had the Jacobi identity for the Lie algebra of vector fields, so we establish the (table of) quadratic, Jacobi-type identities for higher-order Wronskians of $N gt 1$ arguments. (In string theory, these identities govern homotopy deformations of Lie algebras, here of vector fields.) We prove that the new Wronskians over multidimensional base with $d$ coordinates $x, y, z,. . .$ do satisfy the (table of) identities for strongly homotopy Lie algebras. The problem is to understand how fast the dimension grows under iterated $N$-ary brackets. We spot a countable chain of finite-dimensional homotopy Lie algebras that generalize the vector field realization of $sl(2)$ on ${mathbb R}$; we explicitly calculate all the structure constants. Yet the four-dimensional analogue of $sl(2)$ over the plane ${mathbb R}^2$ with Cartesian coordinates $(x, y)$, now with ternary bracket from the Wronskian, is so far the only known finite-dimensional homotopy Lie algebra of this type over base dimension $gt 1$. The hunt is on; we conclude that Lie algebra $sl(2)$ is the prototype not only for semisimple complex Lie algebras encoded by root systems but also for countably many $N$-ary homotopy Lie algebras. Arthemy Kiselev (University of Groningen) Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.$

Veronica Fantini - Classical and New Perspectives on Resurgence Theory

Enrico Pajer - 2/4 EFT of Open Systems : Path Integrals and the Schwinger–Keldysh Formalism

Cyril Banderier - Phase Transitions and Mittag-Leffler Functions for Critical Schemes Under (...)

Alberto Vezzani - Non-Archimedean Motives IV

Institut des Hautes Etudes Scientifiques (IHES) |

Charlotte Sleight - 1/4 Cosmological Bootstrap