Infinite Limits With Equal Exponents (Calculus)
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From playlist Calculus
(PP 1.S) Measure theory: Summary
A brief summary of the material from this section, emphasizing probability measures.
From playlist Probability Theory
Measure Theory 1.1 : Definition and Introduction
In this video, I discuss the intuition behind measures, and the definition of a general measure. I also introduce the Lebesgue Measure, without proving that it is indeed a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
(PP 1.3) Measure theory: Measures
(0:00) Sigma-algebra generated by a collection. (4:12) Examples of sigma-algebras. (7:20) Definition of a measure. (9:48) Definition of a probability measure. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB
From playlist Probability Theory
Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
Determine the Least Element in a Set Given using Set Notation.
This video explains how to determine the least element in a set given using set notation.
From playlist Sets (Discrete Math)
What is the official definition of limit? - Week 2 - Lecture 12 - Mooculus
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From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
Infinite Limits (Limit Example 10)
Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by doing an example with an infinite limit. More precisely, I prove from scratch that the limit of sqrt(n-2)+3 is infinity Other examples of limits can be seen in the playlist below. Check ou
From playlist Sequences
Math 101 092517 Rigorous Definition of the Limit (of a sequence)
Rough notion of the rigorous definition of the limit. The actual definition. Example: showing that 1/n converges to 0.
From playlist Course 6: Introduction to Analysis (Fall 2017)
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th
From playlist YMC*A 2021
Rémi Coulon : Growth and co-growth in negatively curved groups: a dynamical point of view
HYBRID EVENT Recorded during the meeting "Groups Acting on Fractals" the April 11, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Geometry
Denis Osin: Invariant random subgroups of acylindrically hyperbolic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
Peter Scholze - Liquid vector spaces
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ (joint with Dustin Clausen) Based on the condensed formalism, we propose new foundations for real functional analysis, replacing complete locally convex vector spaces with a vari
From playlist Toposes online
Limiting Distributions of Stretching Translates of Shrinking Curves...by Nimish Shah
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Vincent Guirardel - Measure equivalence rigidity for Out(Fn) and dynamical decomposition
Measure equivalence is a measurable analogue of quasi-isometry. For instance, two lattices (co-compact or not) in a same Lie group are measurably equivalent by definition. We prove that for N bigger or equal than 3, any countable group that is measure equivalent to Out(Fn) is virtually is
From playlist Geometry in non-positive curvature and Kähler groups
Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]
Jacob Lurie Wednesday, August 28 3:10PM Tamagawa Numbers and Nonabelian Poincare Duality, I Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: Let q and q0 be positive definite integral quadratic forms. We say that
From playlist Number Theory
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration
From playlist Number Theory
Measure Theory 1.3 : Outer Measures and Measurable Sets
In this video, I introduce outer measures and measurable sets, and start a theorem. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory