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These are the notes of some lectures given by the author for a workshop held at TIFR, Mumbai in December, 2011, giving an exposition of the Deligne-Lusztig theory.

Representation Theory · Mathematics 2014-04-04 Dipendra Prasad

These notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and instead of containing rigorous mathematical proofs, they illustrate…

Algebraic Geometry · Mathematics 2007-10-11 Leonid Chekhov

These are lecture notes of a course taken in Leipzig 2023, spring semester. It deals with extremal combinatorics, algebraic methods and combinatorial geometry. These are not meant to be exhaustive, and do not contain many proofs that were…

Combinatorics · Mathematics 2023-08-29 Raul Penaguiao

These are lecture notes of the course in infinity categories given in the fall 2016 at Weizmann Institute.

Category Theory · Mathematics 2018-11-06 Vladimir Hinich

These are the notes for a two-week mini-course given at a winter school in January 2014 as part of the thematic semester New Directions in Lie Theory at the Centre de Recherches Math\'ematiques in Montr\'eal. The goal of the course was to…

Representation Theory · Mathematics 2015-01-13 Alistair Savage

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

This is a lecture note prepared for the SFT 9 workshop in Augsburg, Germany. The text describes a polyfold approach to the construction of symplectic field theory and focuses on the perturbation and transversality theory.

Symplectic Geometry · Mathematics 2018-08-23 Joel W. Fish , Helmut Hofer

This is the note for the four lectures given by the author in the ``International Short-School/Conference on Affine Algebraic Geometry and the Jacobian Conjecture" at Chern Institute of Mathematics, Nankai University, Tianjin, China. July…

Commutative Algebra · Mathematics 2019-07-16 Arno van den Essen

These are notes for lectures given at MIT in 1999 (Fall). They contain a discussion of affine Hecke algebras with possibly unequal parameters including a theory of cells and a partly conjectural theory of J-rings.

Representation Theory · Mathematics 2007-05-23 G. Lusztig

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

Notes of my 14 `lectures on everything' given at the 1995 Les Houches school. An introductory course in topological and conformal field theory, strings, gauge fields, supersymmetry and more. The presentation is more mathematical then usual…

High Energy Physics - Theory · Physics 2009-09-25 R. Dijkgraaf

These are expanded lecture notes for the summer school on Berkovich spaces that took place at the Institut de Math\'ematiques de Jussieu, Paris in 2010. They serve to illustrate some techniques and results from the dynamics on…

Dynamical Systems · Mathematics 2014-10-14 Mattias Jonsson

This material was presented in a series of lectures at the Santa Fe Institute, the Los Alamos National Laboratory, and the University of New Mexico, during a one-month visit to the Santa Fe Institute, April 1995.

chao-dyn · Physics 2016-08-31 G J Chaitin

These are the notes of the three lectures I delivered at the mini-workshop "Knot Theory and Number Theory around the A-Polynomial" at the Instituto Superior Tecnico (IST) in Lisbon in January 2014. The goal of the lectures was to…

Geometric Topology · Mathematics 2014-02-04 Mehmet Haluk Sengun

The following notes derive from review lectures on the subject of analytic solutions in open string field theory, given at the School for String Field Theory and String Phenomenology at the Harish-Chandra Research Institute in February…

High Energy Physics - Theory · Physics 2022-08-26 Theodore Erler

We begin herewith the editing of physics notes taken in the course of Journal Club seminars at INFN-LNF in 1996. The activity consists of informal talks about work in progress and/or review of (more or less) recent physics results of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bellucci

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

The present notes provide an extended version of a small lecture course given at the Humboldt Universit\"at zu Berlin in the Winter Term 2022/23 (of 36 hours). The material starting in Section 5.4 was added afterwards. The aim of these…

Mathematical Physics · Physics 2023-06-09 Alexander Mielke

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

These are notes of a talk, given at the 'arithmetique en plat pays'-meeting in february 2020, on the potential uses of geometries over the fake field $\mathbb{F}_1$ to zeta functions and counting measures on motives.

Algebraic Geometry · Mathematics 2020-04-14 Lieven Le Bruyn
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