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In this survey, we give a short overview of the recent progress on the multidimensional L2 conjecture. It can also serve as an introduction to the subject.

Analysis of PDEs · Mathematics 2012-03-21 Sergey A. Denisov

This is a survey article written for a workshop on L-functions and random matrix theory at the Newton Institute in July, 2004. The goal is to give some insight into how well-distributed sets of matrices in classical groups arise from…

Number Theory · Mathematics 2010-02-18 Douglas Ulmer

This text contains lecture notes of the course taught to Ph.D. students of Jagiellonian University in Krakow on 25-28 November, 2013.

Combinatorics · Mathematics 2013-12-19 Taras Banakh

This volume contains the proceedings of FOCLASA 2010, the 9th International Workshop on the Foundations of Coordination Languages and Software Architectures. FOCLASA 2010 was held in Paris, France on July 30th, 2010 as a satellite event of…

Software Engineering · Computer Science 2010-07-29 MohammadReza Mousavi , Gwen Salaün

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 lecture notes for a 4h mini-course held in Toulouse, May 9-12th, at the thematic school on "Quantum topology and geometry". The goal of these lectures is to (a) explain some incarnations, in the last ten years, of the idea of…

Mathematical Physics · Physics 2023-07-07 Gaëtan Borot

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

This is the text of the lecture given by the author in Naples at "Giornata IndAM", June 7, 2005. The lecture is addressed at the general mathematical audience and reviews several topics in deformation theory of associative algebras.

Quantum Algebra · Mathematics 2009-12-21 Pavel Etingof

This work contains a set of lectures on defect structures, mainly in models described by scalar fields in diverse dimensions.

High Energy Physics - Theory · Physics 2007-05-23 Dionisio Bazeia

A survey of general results on the singularities of inverses to meromorphic functions is given, with applications to holomorphic dynamics. This is a lecture delivered at the workshop "The role of complex analysis in complex dynamics" in…

Complex Variables · Mathematics 2021-10-13 Alexandre Eremenko

This article is based on the opening lecture at the third quantum geometry and quantum gravity school sponsored by the European Science Foundation and held at Zakopane, Poland in March 2011. The goal of the lecture was to present a broad…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Abhay Ashtekar

Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation…

Functional Analysis · Mathematics 2010-03-05 Feng Tian , Palle E. T. Jorgensen

The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings,…

Functional Analysis · Mathematics 2007-05-23 Biagio Ricceri

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 paper is a write-up of introductory lectures on the modern approach to the nuclear force problem based on chiral effective field theory given at the 2009 Joliot-Curie School, Lacanau, France, 27 September - 3 October 2009.

Nuclear Theory · Physics 2010-01-20 Evgeny Epelbaum

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

High Energy Physics - Theory · Physics 2015-06-05 Pavel Kovtun

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

This is a set of lecture notes that developed out of courses on the lambda calculus that I taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda…

Logic in Computer Science · Computer Science 2013-12-30 Peter Selinger

In this lecture we will try to address the "frequently asked questions about fractals" in the field of large scale galaxy distribution. This paper takes its origin from a very interesting discussion we had at this meeting. A lot of points…

Astrophysics · Physics 2007-05-23 F. Sylos Labini , L. Pietronero , M. Montuori

These are lecture notes for a series of lectures given at the Les Houches Summer School on Integrability in Atomic and Condensed Matter Physics, 30 July to 24 August 2018. The same series of lectures has also been given at the Tokyo…

Statistical Mechanics · Physics 2020-09-10 Benjamin Doyon