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This paper presents a model with the aim to follow, as closely as possible, the rationale of the macroeconomic model advanced by J.M. Keynes in his famous "The General Theory of Employment, Interest and Money", in order to provide a viable…

Theoretical Economics · Economics 2023-03-28 Alessio Emanuele Biondo

In this introduction the editors showcase the papers by way of a structured project and seek to clarify the two key concepts cited in the title. We consider the history of the idea that knowledge is an economic factor, and discuss the…

Physics and Society · Physics 2009-11-19 Phil Cooke , Loet Leydesdorff

For this after dinner talk I intersperse images of real lattices with a discussion of the motivations for lattice gauge theory and some current unresolved issues.

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

I overview the work of the Tbilisi school on intuitionistic modal logics of well-founded/scattered structures and its connections with contemporary theoretical computer science. Fixed-point theorems and their consequences are of particular…

Logic in Computer Science · Computer Science 2017-08-21 Tadeusz Litak

Recently, Large Language Models (LLMs) with Mixture of Experts (MoE) layers have gained significant attention. Currently, state-of-the-art LLMs utilize this architecture. There is a substantial amount of research on how to train such models…

Computation and Language · Computer Science 2025-02-25 Andrei Chernov

Cities are living organisms. They are out of equilibrium, open systems that never stop developing and sometimes die. The local geography can be compared to a shell constraining its development. In brief, a city's current layout is a step in…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Thomas Courtat , Catherine Gloaguen , Stephane Douady

This informal note provides some elementary examples to motivate the local structural results of [1] on the moduli space of genus one stable maps to projective space. The hope is that these examples will be helpful for graduate students to…

Algebraic Geometry · Mathematics 2011-06-16 Yi Hu

Several chapters in this book present various aspects of Michel Henon's scientific acheivements that spread over a large range of subjects, and yet managed to make deep contributions to most of them. The authors of these chapters make a…

Astrophysics of Galaxies · Physics 2014-11-19 Jean-Marc Petit

Topos theory occupies a singular place in contemporary mathematics: born from Grothendieck's algebraic geometry, it has emerged as a unifying language for geometry, topology, algebra, and logic. This book offers a progressive introduction…

Category Theory · Mathematics 2025-09-01 Olivia Caramello , Laurent Lafforgue

This note presents Galois theory for finite fields. It was written as a handout for the MAT401 course ``Polynomial equations and fields'' taught at the University of Toronto in Spring 2026. We use without proofs some basic properties of…

Number Theory · Mathematics 2026-04-13 Askold Khovanskii

These notes were written for a presentation given at the university Paris VII in January 2012. The goal was to explain a proof of a famous theorem by P. Deligne about coherent topoi (coherent topoi have enough points) and to show how this…

Logic · Mathematics 2013-09-03 Benjamin Frot

Notes of my 14 `lectures on everything' given at the 1995 Les Houches school. An introductory course in topological and conformal field theory, strings, gauge fields, supersymmetry and more. The presentation is more mathematical then usual…

High Energy Physics - Theory · Physics 2009-09-25 R. Dijkgraaf

This document is the first part of the author's habilitation thesis (HDR), defended on June 4, 2018 at the University of Bordeaux. Given the nature of this document, the contributions that involve the author have been emphasized; however,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-23 Arnaud Casteigts

These are notes to accompany four lectures that I gave at the School on Additive Combinatorics, held in Montreal, Quebec between March 30th and April 5th 2006. My aim is to introduce ``quadratic fourier analysis'' in so far as we understand…

Classical Analysis and ODEs · Mathematics 2007-05-23 Ben Green

The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

History and Overview · Mathematics 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD…

Algebraic Geometry · Mathematics 2007-05-23 Marco Manetti

This doctoral thesis studies the overlap between two well-known collections of results in number theory: the theory of periods and period polynomials of modular forms as developed by Eichler, Shimura and Manin and its extensions by K\"ohnen…

Number Theory · Mathematics 2016-04-08 Nicolas Provost

This is the author's PhD thesis, which focuses on the so-called Landau-Ginzburg/conformal field theory correspondence. This correspondence dates from the late 80s and early 90s in the physics literature and in particular, it predicts a…

Quantum Algebra · Mathematics 2015-07-24 Ana Ros Camacho

This invited memoir looks back on my scientific career that straddles the solar and stellar branches of astrophysics, with sprinklings of historical context and personal opinion. Except for a description of my life up to my Ph.D. phase, the…

Solar and Stellar Astrophysics · Physics 2023-09-04 C. J. Schrijver

The aim of this paper is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We…

Disordered Systems and Neural Networks · Physics 2009-12-15 G. Biroli , J. P. Bouchaud