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Lecture notes on Finsler Geometry

Differential Geometry · Mathematics 2023-11-14 Oumar Wone

These notes are based on a talk given at the Summer School "Infinite-dimensional representations of finite-dimensional algebras" held at the University of Manchester in September 2015. They intend to provide a brief introduction to the…

Rings and Algebras · Mathematics 2015-12-10 Daniel López-Aguayo

These are the notes of an informal talk in Bonn describing how to define an analogue of vertex algebras in higher dimensions.

q-alg · Mathematics 2008-02-03 Richard E. Borcherds

This is an extended abstract of the talk given in the Oberwolfach miniworkshop "Nichols algebras and Weyl groupoids" in October 2012.

Quantum Algebra · Mathematics 2013-09-24 Leandro Vendramin

These are the proceedings of the "Workshop on Precision Measurements of alphas" held at the Max-Planck-Institute for Physics, Munich, February 9-11, 2011. The workshop explored in depth the determination of alphas(mZ) in the MS-bar scheme…

These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate…

Mathematical Physics · Physics 2023-11-01 Saiei-Jaeyeong Matsubara-Heo , Sebastian Mizera , Simon Telen

These are lecture notes from author's mini-course during Session 1: "Vertex algebras, W-algebras, and application" of INdAM Intensive research period "Perspectives in Lie Theory", at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa,…

Representation Theory · Mathematics 2017-02-15 Tomoyuki Arakawa

These notes are for the author's lectures, "Integral Reduction and Applied Algebraic Geometry Techniques" in the School and Workshop on Amplitudes in Beijing 2016. I introduce the applications of algebraic geometry methods on multi-loop…

High Energy Physics - Theory · Physics 2018-12-14 Yang Zhang

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

We study maximal subalgebras of an arbitrary finite dimensional algebra over a field, and obtain full classification/description results of such algebras. This is done by first obtaining a complete classification in the semisimple case, and…

Rings and Algebras · Mathematics 2017-08-31 Miodrag Iovanov , Alexander Sistko

These lectures were given in Session 1: "Vertex algebras, W-algebras, and applications" of INdAM Intensive research period "Perspectives in Lie Theory" at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, December 9, 2014 --…

Mathematical Physics · Physics 2017-01-31 Victor Kac

Exceptional field theory (EFT) gives a geometric underpinning of the U-duality symmetries of M-theory. In this talk I give an overview of the surprisingly rich algebraic structures which naturally appear in the context of EFT. This includes…

High Energy Physics - Theory · Physics 2018-11-14 Martin Cederwall

This volume contains the proceedings of the Tenth International Workshop on Fixed Points in Computer Science (FICS 2015) which took place on September 11th and 12th, 2015 in Berlin, Germany, as a satellite event of the conference Computer…

Logic in Computer Science · Computer Science 2015-09-10 Ralph Matthes , Matteo Mio

We present an extended version of max-plus algebra which includes the inverse operator of "max". This algebra enables us to ultra-discretize the system including subtractions and obtain new ultra-discrete equations. The known ultra-discrete…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Tomoshiro Ochiai

Rejoinder: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 R. Dennis Cook

These are the notes of a part of the PhD course Regularity for free boundary problems and for elliptic PDEs, held in Pavia in the spring of 2025. The aim is to provide a comprehensive and self-contained treatment of classical interior and…

Analysis of PDEs · Mathematics 2026-02-03 Stefano Vita

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

This text is the extended version of a talk given at 6th Meeting of Integrable Systems and Quantum Filed Theory at Peyresq hold from June 10 2006 to June 17, 2006 at Peyresq, France. The goal of this lecture is to give a brief introduction…

Differential Geometry · Mathematics 2013-04-23 Nabil Kahouadji

This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.

Differential Geometry · Mathematics 2016-03-29 Simon Donaldson

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 Lexin Li , Christopher J. Nachtsheim
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