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This is a write-up of two lectures on AdS/CFT correspondance given by the authors at the 1998 Spring School at the Abdus Salam ICTP

High Energy Physics - Theory · Physics 2007-05-23 Michael R. Douglas , S. Randjbar-Daemi

A brief review of the Wigner functions method in curved space-time. Contribution to the 3rd International Wigner Symposium, 5th-11th September 1993, Oxford, UK.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Oleg A. Fonarev

These are notes for three lectures on higher properads given at a program at the mathematical institute MATRIX in Australia in June 2016. The first lecture covers the case of operads, and provides a brief introduction to the Moerdijk-Weiss…

Algebraic Topology · Mathematics 2018-04-17 Philip Hackney , Marcy Robertson

We give an introduction to the structure theory of extended affine Lie algebras, which provide a common framework for finite-dimensional semisimple, affine and toroidal Lie algebras. The notes are based on a lecture series given during the…

Rings and Algebras · Mathematics 2013-12-17 Erhard Neher

These are the lecture notes for a short course on geometric quantization given by the author at the XVIII Modave Summer School on Mathematical Physics, Sep 5 - Sep 9.

Mathematical Physics · Physics 2023-06-02 Konstantin Wernli

This is an expository lecture on the subject of the title delivered at the Park-IAS mathematical institute in Princeton (July, 2000).

Number Theory · Mathematics 2007-05-23 Minhyong Kim

These are notes of a graduate course on representations of non-compact semisimple Lie groups given by the author at MIT.

Representation Theory · Mathematics 2024-09-09 Pavel Etingof

These notes provide a short, focused introduction to modelling stochastic gene expression, including a derivation of the master equation, the recovery of deterministic dynamics, birth-and-death processes, and Langevin theory. The notes were…

Quantitative Methods · Quantitative Biology 2016-07-27 Peter S Swain

These notes are a record of lectures given in the Workshop on Connections Between Algebra and Geometry at the University of Regina, May 29--June 1, 2012. The lectures were meant as an introduction to current research problems related to fat…

Algebraic Geometry · Mathematics 2013-10-15 Susan Cooper , Brian Harbourne

These notes represent the transcript of three, 90 minute lectures given by the second author at the CRM in Barcelona in 2021 as part of the "Higher Structures and Operadic Calculus" workshop. The goal of the series was to introduce and…

Algebraic Topology · Mathematics 2023-05-09 Olivia Borghi , Marcy Robertson

This is an expanded version of my talk given at the workshop "Hot Topics: Thin Groups and Super-strong Approximation" (MSRI, Berkeley, February 6-10, 2012).

Number Theory · Mathematics 2012-07-19 Andrei S. Rapinchuk

These lecture notes were written during a mini-course on noncommutative Lp-spaces at the Basque Center of Applied Mathematics. It starts presenting the theory of weights and traces in von Neumann algebra, followed by the theory of…

Operator Algebras · Mathematics 2018-03-08 Ricardo Correa da Silva

These are lecture notes for a course I gave in mid-1990s for MSc students at the University of Bath. It presents an algorithm with singly exponential complexity for the existential theory of the reals, in the spirit of J. Renegar. The aim…

History and Overview · Mathematics 2021-12-02 Nicolai Vorobjov

These notes contain part of the lectures of an introductory course on orthogonal polynomials and special functions that I gave in the joint PhD Program in Mathematics UC|UP in the academic years 2015-2016 (at University of Porto) and…

Classical Analysis and ODEs · Mathematics 2021-11-15 J. Petronilho

In this set of lectures I review recent developments in string theory emphasizing their non-perturbative aspects and their recently discovered duality symmetries. The goal of the lectures is to make the recent exciting developments in…

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

These are notes from elementary lectures given in the summer of 2013 at the YMSC center at Tsinghua University in Beijing.

Dynamical Systems · Mathematics 2016-06-01 John Erik Fornæss

These are notes related to a 12-hour course of lectures given at the Centre de Recerca Mathem\`atica near Barcelona in February, 2010. The aim of the course was to explain results on curves and their Jacobians over function fields, with…

Number Theory · Mathematics 2012-10-30 Douglas Ulmer

Lectures notes (in italian) of some arguments of classical analysis, with exercises. A particular emphasis to functional analysis and elementary operator algebra theory is given, by means of exercises and examples.

Classical Analysis and ODEs · Mathematics 2015-09-17 Ezio Vasselli

These lecture notes consist of an introduction to moduli spaces in algebraic geometry, with a strong emphasis placed on examples related to the theory of quiver representations. The goal is to provide the background necessary to understand…

Algebraic Geometry · Mathematics 2021-05-18 Alexander Soibelman

These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise real-valued vector and matrix…

General Finance · Quantitative Finance 2015-09-17 Henk van Elst