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These are the lecture notes of a 2-hour mini-course on Lie groups over local fields presented at the "Workshop on Totally Disconnected Groups, Graphs and Geometry" at the Heinrich-Fabri-Institut Blaubeuren in May 2007. The goal of the notes…

Group Theory · Mathematics 2016-12-30 Helge Glockner

These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1). These notes…

Representation Theory · Mathematics 2021-09-13 Matvei Libine

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 partial lecture notes from the fifteen Ess\'en Lectures for graduate students at Uppsala University given (in four days!) in June 2013.

Representation Theory · Mathematics 2014-01-24 Alexander Kleshchev

The present notes are based on a course given by J-P.Serre at ENSJF in 1978/79 on the elementary properties of finite groups. They were first written down by M.Buhler and C.Goldstein (Montrouge 1979), then revised and put in LaTeX by…

Group Theory · Mathematics 2008-06-09 J. -P. Serre

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

These are the lecture notes for a short course in topological string theory that I gave at Uppsala University in the fall of 2004. The notes are aimed at PhD students who have studied quantum field theory and general relativity, and who…

High Energy Physics - Theory · Physics 2007-05-23 Marcel Vonk

This is an edited write-up of lecture notes of the 7-th Appalachian set theory workshop of the same title led by the first named author at the Cornell University on November 22, 2008. A draft version of the notes was prepared by the second…

Group Theory · Mathematics 2013-03-27 Vladimir G. Pestov , Aleksandra Kwiatkowska

These notes reproduce the content of a short, 50-minutes, survey talk given at the Nice University in September, 2004. We added a few topics that have not been touched on in the lecture by lack of time.

Algebraic Geometry · Mathematics 2007-05-23 V. Kharlamov

These are the lecture notes for the LMS/EPSRC short course on strong approximation methods in linear groups organized by Dan Segal in Oxford in September 2007.

Group Theory · Mathematics 2009-08-15 Nikolay Nikolov

These notes combine material from short lecture courses given in Paris, France, in July 2001 and in Srni, the Czech Republic, in January 2003. They discuss groups of symplectomorphisms of closed symplectic manifolds (M,\om) from various…

Symplectic Geometry · Mathematics 2007-05-23 Dusa McDuff

This in an introduction to free probability theory, covering the basic combinatorial and analytic theory, as well as the relations to random matrices and operator algebras. The material is mainly based on the two books of the lecturer, one…

Operator Algebras · Mathematics 2025-04-16 Roland Speicher

These notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula and geometric representation theory. They are based on the…

Representation Theory · Mathematics 2020-05-01 Joshua Ciappara , Geordie Williamson

These lecture notes are based on three lectures, each ninety minutes long, given by the author at the "International School on Strings and Fundamental Physics" which took place in Garching/Munich from July 25 to August 6, 2010. These…

High Energy Physics - Theory · Physics 2015-05-30 Barton Zwiebach

These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.

Number Theory · Mathematics 2007-05-23 D. R. Heath-Brown

These are expanded notes of a seminar held in Columbia university during the Spring and Fall of 2024 about the theory of analytic stacks of Clausen and Scholze, with a focus in the theory of solid mathematics. The seminar is inspired from…

Algebraic Geometry · Mathematics 2026-03-04 Juan Esteban Rodríguez Camargo

These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT.

Representation Theory · Mathematics 2026-05-26 Pavel Etingof

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 closely correspond to a series of lectures given by the first author in Toulouse, on the recent extension of the theory of ODE well-posedness to abstract spaces, jointly obtained by the two authors. In the last part, we describe…

Metric Geometry · Mathematics 2016-09-13 Luigi Ambrosio , Dario Trevisan

These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. These notes are intended to be substantially reworked and…

Mathematical Physics · Physics 2025-01-22 Pavel Mnev
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