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This is a review article on modular categories, extending an invited talk given at the workshop "Categorical (co)algebraic methods in quantum informatics and linguistics", Oxford, October 29-31, 2010. To appear in C. Heunen, M. Sadrzadeh,…

Category Theory · Mathematics 2012-02-21 Michael Mueger

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

I offer a brief summary, with commentary, of theoretical contributions to Moriond QCD 2008.

High Energy Physics - Phenomenology · Physics 2008-10-09 Chris Quigg

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

This note is an expository account of the theory of staggered sheaves, based on a series of lectures given by the author at RIMS (Kyoto) in October 2008.

Algebraic Geometry · Mathematics 2009-02-03 Pramod N. Achar

These notes are based on the three lectures that one of the authors gave at Tsinghua University in the summer of 2023 as part of the workshop on Geometric Representation Theory and Applications. They contain an introduction to the…

Quantum Algebra · Mathematics 2025-07-24 Mikhail Khovanov , Dmitry Solovyev

This paper is partly based on a lecture delivered by the author at the ERC workshop "Geometric Partial Differential Equations" held in Pisa in September 2012. What is presented here is an expanded version of that lecture.

Analysis of PDEs · Mathematics 2013-09-17 Nicholas D. Alikakos

Lecture notes given at the summer school ``Applications of random matrices to physics", Les Houches, June 2004.

Mathematical Physics · Physics 2007-05-23 P. Di Francesco

This document presents the contents of three lectures delivered by the author at the Erd\H{o}s Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budapest, Hungary. It presents a fairly self contained account…

Mathematical Physics · Physics 2023-08-15 Eric Carlen

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 write-up of a short tutorial talk on high-intensity QED, video-presented at the 2021 annual Christmas meeting of the Central Laser Facility at Rutherford-Appleton Lab, UK. The first half consists of a largely historical…

High Energy Physics - Phenomenology · Physics 2022-03-03 T. Heinzl

These proceedings contain research results presented during the Workshops "Quark Matter in Astro- and Particle Physics" held at the University of Rostock, November 27-29, 2000 and "Dynamical Aspects of the QCD Phase Transition" held at the…

Nuclear Theory · Physics 2007-05-23 G. R. G. Burau , D. B. Blaschke , S. M. Schmidt

An inventory is made of the experiments which can measure the transversely polarized quark distributions and fragmentation functions at leading twist. (Contribution to the 10th International Symposium on High Energy Spin Physics, Nagoya,…

High Energy Physics - Phenomenology · Physics 2008-02-03 X. Artru

These are notes from the 2003 C.I.M.E. summer school "symplectic 4-manifolds and algebraic surfaces". They cover the same material as the author's (by now ancient) Ph.D. thesis.

Symplectic Geometry · Mathematics 2007-05-23 Paul Seidel

Preliminary version No.~2 of the lecture notes for the talk ``Quantum theory of gravitational collapse'' given at the 271. WE-Heraeus-Seminar ``Aspects of Quantum Gravity'' at Bad Honnef, 25 February--1 March 2002

General Relativity and Quantum Cosmology · Physics 2015-06-25 Petr Hajicek

The first two lectures are devoted to describing the basic concepts of scattering theory in a very compressed way. A detailed presentation of the abstract part can be found in \cite{I} and numerous applications in \cite{RS} and \cite{Y2}.…

Spectral Theory · Mathematics 2007-05-23 Dmitri Yafaev

A talk presented at International Conference ICMP-2000, London, England

High Energy Physics - Theory · Physics 2007-05-23 S. A. Bulgadaev

These are lecture notes on the subject defined in the title. As such, they do not pretend to be really new, probably except for the only section about Poisson equations with potentials. Yet, the hope of the author is that they may serve as…

Probability · Mathematics 2018-07-30 Alexander Veretennikov

This paper is the augmented notes of a course I gave jointly with Laurent Berger in Rennes in 2014. Its aim was to introduce the periods rings B crys and B dR and state several comparison theorems between{\'e}tale and crystalline or de Rham…

Number Theory · Mathematics 2019-08-23 Xavier Caruso

These are lecture notes from the IMPANGA 2010 Summer School. The lectures survey some of the main features of equivariant cohomology at an introductory level. The first part is an overview, including basic definitions and examples. In the…

Algebraic Geometry · Mathematics 2011-12-08 Dave Anderson