Geometric topology | Surgery theory | Quadratic forms | Algebraic topology
In mathematics, the surgery structure set is the basic object in the study of manifolds which are homotopy equivalent to a closed manifold X. It is a concept which helps to answer the question whether two homotopy equivalent manifolds are diffeomorphic (or PL-homeomorphic or homeomorphic). There are different versions of the structure set depending on the category (DIFF, PL or TOP) and whether Whitehead torsion is taken into account or not. (Wikipedia).
SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/
From playlist Games and puzzles
Truss Bridge Project - simple, fundamental engineering project for kids
Be sure to check out www.stem-inventions.com Hanging scale: https://amzn.to/2Q3cYNO
From playlist Bridge Building
Build a Computer Part V: Assembly in the Case
This video shows you how to assemble and mount the power supply, cover plate, motherboard, standoffs, and wires in the case. Credits: , HowStuffWorks
From playlist Classic HowStuffWorks
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
Recursively Defined Sets - An Intro
Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g
From playlist All Things Recursive - with Math and CS Perspective
Algebraic Structures: Groups, Rings, and Fields
This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.
From playlist Abstract Algebra
Non-standard Contact Structures on Spheres and Applications - Agustin Moreno
Special Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Non-standard Contact Structures on Spheres and Applications Speaker: Agustin Moreno Affiliation: Member, School of Mathematics Date: February 13, 2023 In this talk, I will describe the construction of contact struc
From playlist Mathematics
Allison Moore - Essential Conway spheres and Floer homology via immersed curves
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Allison Moore, Virginia Commonwealth University Title: Essential Conway spheres and Floer homology via immersed curves Abstract: We consider the problem of whether Dehn surgery along a knot in the three-sphere produces an
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Markus Land - L-Theory of rings via higher categories II
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Ian Zemke - Concordance surgery and the Ozsváth--Szabó 4-manifold invariant
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Erik Kjær Pedersen: Some remarks on the surgery exact sequence
The lecture was held within the framework of the Hausdorff Trimester Program: K-theory in topology and non commutative geometry.
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Dehn Twists Exact Sequences Through Lagrangian Cobordism - Weiwei Wu
Weiwei Wu University of Montreal October 23, 2015 https://www.math.ias.edu/seminars/abstract?event=85044 In this talk we first introduce a new "singularity-free" approach to the proof of Seidel's long exact sequence, including the fixed-point version. This conveniently generalizes to Deh
From playlist PU/IAS Symplectic Geometry Seminar
Christoph Winges: Automorphisms of manifolds and the Farrell Jones conjectures
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Building on previous work of Bartels, Lück, Reich and others studying the algebraic K-theory and L-theory of discrete group rings, the validity of the Farrell-Jones Conjecture has be
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor
Abstract: In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating f
From playlist Abel Lectures
Positive-definite symplectic four-manifolds - Jennifer Hom
Jennifer Hom, IAS Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic yea
From playlist Workshop on Flows, Foliations and Contact Structures
Sets allow you to store multiple values in one place, but unlike lists, sets are unordered and there are no duplicates. In this video, we will use IDLE to enter some set expressions and see the results. We will also learn about set-builder notation to construct sets mathematically. Get
From playlist Python
Symplectic fillings and star surgery - Laura Starkston
Laura Starkston University of Texas, Austin September 25, 2014 Although the existence of a symplectic filling is well-understood for many contact 3-manifolds, complete classifications of all symplectic fillings of a particular contact manifold are more rare. Relying on a recognition theor
From playlist Mathematics