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In recent years, theoretical and phenomenological studies with effective field theories have become a trending and prolific line of research in the field of high-energy physics. In order to discuss present and future prospects concerning…

In this series of lectures presented at the CIMPA Winter School on Discrete Integrable Systems in Pondicherry, India, in February, 2003 we give a review of the application of Lie point symmetries, and their generalizations to the study of…

Exactly Solvable and Integrable Systems · Physics 2017-08-23 Pavel Winternitz

These notes give an introduction to the Gabriel-Roiter measure of a finite dimensional algebra. They are based on a series of four lectures at the "Advanced School and Conference on Representation Theory and Related Topics" in Trieste…

Representation Theory · Mathematics 2011-07-14 Henning Krause

Lecture notes in french of the lecture on surface tension given in 2015 and 2016 at the preparation to "Agr\'egation de physique" in the Ecole Normale Sup\'erieure de Lyon

Soft Condensed Matter · Physics 2016-09-05 Pierre Lidon

This volume contains the thesis abstracts presented at the Second Summer School on Argumentation: Computational and Linguistic Perspectives (SSA'2016) held on September 8-12 in Potsdam, Germany.

Artificial Intelligence · Computer Science 2016-08-09 Sarah A. Gaggl , Matthias Thimm

This article is an expanded version of the author's lecture in the Basic Notions Seminar at Harvard, September 2013. Our goal is a brief and introductory exposition of aspects of two topics in sieve theory which have received attention…

Number Theory · Mathematics 2014-06-06 Alex Kontorovich

This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany, on…

Numerical Analysis · Mathematics 2024-01-30 Massimiliano Fasi , Stéphane Gaudreault , Kathryn Lund , Marcel Schweitzer

The series of three lectures given at Tel-Aviv University in 1992: 1. Tensor categories. 2. Quantum groups. 3. Topological (quantum) field theories. Published as the preprint IAS 897-92 of Tel-Aviv University and The Mortimer and Raymond…

q-alg · Mathematics 2008-02-03 Joseph Bernstein

These notes are part of the research seminar with title "Theory of Bergman spaces and related function spaces" that took place in the University of Crete, Department of Mathematics (September 2006- December 2007), in the framework of the…

Complex Variables · Mathematics 2008-01-11 Petros Galanopoulos

In 2006, the course "Modeling of Organizations" is taught for the third time. This third time will be the second time we will use the new lecture notes "Work Systems Modelling" from the DA VINCI series. These lecture notes, however, will be…

Other Computer Science · Computer Science 2024-01-30 Henderik Alex Proper

The aim of this short lecture series is to expose the students to the beautiful theory of lattices by, on one hand, demonstrating various basic ideas that appear in this theory and, on the other hand, formulating some of the celebrated…

Group Theory · Mathematics 2014-02-06 Tsachik Gelander

Talk given at ICM '98, Berlin, reviewing some of the recent developments in understanding of string theory for a mathematical audience (to appear in Documenta Mathematica).

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incomplete, but due to recent requests from…

Symplectic Geometry · Mathematics 2014-05-28 Chris Wendl

The article contains a few questions and speculations related to the moduli spaces of curves, K3 surfaces, maps, and sheaves presented in the problem session of the AGNES conference in Amherst (April 2010).

Algebraic Geometry · Mathematics 2010-04-27 R. Pandharipande

These are the notes from my courses on the arithmetic of quadratic forms.

Number Theory · Mathematics 2021-03-23 Rainer Schulze-Pillot

Notes on algebraic stacks, prepared for an 11-lecture course at the NCTS, Taipei, during the fall of 2022.

Algebraic Geometry · Mathematics 2026-04-10 Adeel A. Khan

This is lecture notes on the course "Stochastic Processes". In this format, the course was taught in the spring semesters 2017 and 2018 for third-year bachelor students of the Department of Control and Applied Mathematics, School of Applied…

These are notes for the course CS-172 I first taught in the Fall 1986 at UC Berkeley and subsequently at Boston University. The goal was to introduce the undergraduates to basic concepts of Theory of Computation and to provoke their…

Computational Complexity · Computer Science 2020-09-30 Leonid A. Levin

These notes were written for a set of three lectures given in a school at the Max Planck Institute for the Physics of Complex Systems in October/2017 before the workshop "Critical Stability of Quantum Few-Body Systems". These lectures are…

Quantum Physics · Physics 2018-04-04 M. T. Yamashita

Chapters 1 to 4 are the lecture notes of my course "Real Algebraic Geometry I" from the winter term 2020/2021. Chapters 5 to 8 are the lecture notes of its continuation "Real Algebraic Geometry II" from the summer term 2021. Chapters 9 and…

History and Overview · Mathematics 2022-05-10 Markus Schweighofer