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We present detailed summaries of the talks that were given during a week-long workshop on Arithmetic Groups at the Banff International Research Station in April 2013. The vast majority of these reports are based on abstracts that were…

Group Theory · Mathematics 2013-09-23 Kai-Uwe Bux , Dave Witte Morris , Gopal Prasad , Andrei Rapinchuk

Below are the problems that I formulated at Open Problems Session of {\it Workshop on Group Actions on Rational Varieties}, McGill University and University of Montreal, Canada, March 2002. To appear in: "Affine Algebraic Geometry"…

Algebraic Geometry · Mathematics 2007-05-23 Vladimir L. Popov

These notes are based on the ten lectures that the author held in September of 2013 at the University of Seville. The purpose of the course was to introduce basic concepts about the Ahlfors-Beurling operator and explain a few of the recent…

Classical Analysis and ODEs · Mathematics 2021-09-13 Oliver Dragičević

These are lecture notes of a course on Calogero-Moser systems and their connections with representation theory and geometry, given by the author in Zurich in May-June 2005.

Quantum Algebra · Mathematics 2009-12-21 Pavel Etingof

Talk at the 25th Johns Hopkins Workshop "2001: A Relativistic Spacetime Odyssey", Firenze September 2001.

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luca Lusanna

This paper is around the topics I discussed in the lecture I gave at the Isaac Newton Institute in Cambridge, July 2009, in the Introductory Workshop. This paper can be read as a companion to my paper [Sa\"i di], where detailed proofs can…

Algebraic Geometry · Mathematics 2010-10-11 Mohamed Saidi

Brief lecture notes for a course about random matrices given at the University of Cambridge.

Probability · Mathematics 2013-05-10 Vladislav Kargin , Elena Yudovina

These notes are based on lectures given at the Erwin-Schrodinger Insitut in Vienna in 2006/07 and at the 2007 School on Attractor Mechanism in Frascati. Lecture I: special geometry from the superconformal point of view. Lecture II: black…

High Energy Physics - Theory · Physics 2008-12-23 Thomas Mohaupt

Introduction to the Lecture Note Volume "ITEP Lectures in Particle Physics", including 25 years of personal reminiscences.

High Energy Physics - Phenomenology · Physics 2007-05-23 Mikhail Shifman

This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceedings of the Colloquium).

Quantum Algebra · Mathematics 2007-05-23 Edward Frenkel

These are expanded notes of some lectures given by the author for a workshop held at the Indian Statistical Institute, Bangalore in June, 2010, giving an exposition on the modular representations of finite groups of Lie type and $p$-adic…

Number Theory · Mathematics 2014-04-29 Dipendra Prasad

This is an informal set of lecture notes on moduli spaces of curves based on a set of lectures given at the ICTP last summer. It begins at an elementary level and discusses the genus 1 case in detail. The notes then give an informal…

Algebraic Geometry · Mathematics 2007-05-23 Richard Hain

These are the extended lecture notes of my lecture about ``Linear Operators on Polynomials, $K$-Positivity Preserver, and their Generators''. The lecture was given at the University of Konstanz in the winter semester 2025/26.

Functional Analysis · Mathematics 2026-02-12 Philipp J. di Dio

I have merged the lecture notes (in french) of two 24 hour courses I taught at the university Pierre-et-Marie Curie (Paris 6) during the first semester of the academic year 2013-2014. The first one was devoted to the general material that…

Algebraic Geometry · Mathematics 2014-01-07 Antoine Ducros

This is a 30 page set of lecture notes, in Plain TeX, which were prepared for and presented as a series of lectures (10 1/2 hours over two weeks) at the 2nd Summer School on Banach Spaces, Related Areas and Applications in Prague and…

Functional Analysis · Mathematics 2016-09-06 Robert R. Phelps

Notes to lectures on the epsilon calculus, covering axioms, semantics, completeness, and the first epsilon theorem.

Logic · Mathematics 2014-11-14 Richard Zach

This is a review devoted to some results of Algebraic Programming (Computer Algebra) used in treating several problems of general relativity, based mainly on already published articles. The article contains the talk given by the author at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. N. Vulcanov

These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Universit\`a degli Studi di Napoli "Federico II" (April 2009), at…

Dynamical Systems · Mathematics 2010-11-03 Alfonso Sorrentino

These lecture notes concern information-theoretic notions of entropy. They are intended for, and have been successfully taught to, undergraduate students interested inresearch careers. Besides basic notions of analysis related to…

Mathematical Physics · Physics 2018-06-20 Vojkan Jaksic

Various aspects including the construction and the symmetries of Abelian Chern-Simons vortices are reviewed. Extended version of the Lectures delivered at NIKHEF (Amsterdam), July 2006. Typos corrected, some refernces added.

High Energy Physics - Theory · Physics 2007-05-23 P. A. Horvathy