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These notes have been prepared as reading material for the mini-course that the author gave at IMS, National University of Singapore, as part of the "Summer school on the moduli space of Higgs bundles".

代数几何 · 数学 2026-03-09 Laura P. Schaposnik

Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…

综合数学 · 数学 2009-05-05 Elemer E Rosinger

These are lecture notes from a course offered at the Bangalore School on Statistical Physics - X, during 17-28 June 2019, [ https://www.icts.res.in/program/bssp2019 ] at International centre of theoretical physics (ICTS), Bangalore. These…

统计力学 · 物理学 2019-07-02 Sanjib Sabhapandit

Early in 2011 Sam Evens acting on behalf of the organizers of the summer school on quantization at Notre Dame asked me to give a short series of lectures on geometric quantization. These lectures were meant to prepare a group of graduate…

辛几何 · 数学 2012-06-12 Eugene Lerman

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…

群论 · 数学 2013-09-23 Kai-Uwe Bux , Dave Witte Morris , Gopal Prasad , Andrei Rapinchuk

We explain how to use computer experiments over finite fields to gain heuristic information about the solution set of polynomial equations in characteristic zero. These are notes of a tutorial I gave at the NATO Advanced Study Institute on…

代数几何 · 数学 2009-07-10 Hans-Christian Graf v. Bothmer

This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information…

信息论 · 计算机科学 2010-06-09 Neri Merhav

These four lectures, given at the British Universities Summer School in Theoretical Elementary Particle Physics (BUSSTEPP), held in 2014 in Southampton, are a brief introduction to a selection of current topics in physics Beyond the…

高能物理 - 唯象学 · 物理学 2015-03-10 Ben Gripaios

This is the written version of the supersymmetry lectures delivered at the 30th and 31st British Universities Summer Schools in Theoretical Elementary Particle Physics (BUSSTEPP) held in Oxford in September 2000 and in Manchester in…

高能物理 - 理论 · 物理学 2007-05-23 Jose Figueroa-O'Farrill

These are lecture notes that are based on the lectures from a class I taught on the topic of Randomized Linear Algebra (RLA) at UC Berkeley during the Fall 2013 semester.

数据结构与算法 · 计算机科学 2016-08-17 Michael W. Mahoney

These notes provide a short, focused introduction to modelling stochastic gene expression, including a derivation of the master equation, the recovery of deterministic dynamics, birth-and-death processes, and Langevin theory. The notes were…

定量方法 · 定量生物学 2016-07-27 Peter S Swain

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…

计算机科学中的逻辑 · 计算机科学 2015-09-10 Ralph Matthes , Matteo Mio

This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.

微分几何 · 数学 2007-05-23 Rui Loja Fernandes , Marius Crainic

This is an extended abstract of lectures delivered at the 4th Warsaw Summer School on Statistical Physics in Kazimierz Dolny, June 25-July 2, 2011.

种群与进化 · 定量生物学 2012-04-13 Joachim Krug

These are lectures notes for a 4h30 mini-course held in Ulaanbaatar, National University of Mongolia, August 5-7th 2015, at the summer school "Stochastic Processes and Applications". It aims at presenting an introduction to basic results of…

概率论 · 数学 2017-10-31 Gaëtan Borot

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

概率论 · 数学 2009-10-19 Richard Kenyon

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of…

高能物理 - 理论 · 物理学 2016-06-22 V. P. Nair

This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable…

数论 · 数学 2026-05-06 Peter Scholze

Three lectures on effective field theory given at the Seventh Summer School in Nuclear Physics, Seattle June 19-30 1995.

核理论 · 物理学 2007-05-23 David B. Kaplan

These lecture notes were prepared as a basic introduction to the theory of constrained systems which is how the fundamental forces of nature appear in their Hamiltonian formulation. Only a working knowledge of Lagrangian and Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2010-10-12 Ghanashyam Date