Geometric topology | Algebraic topology
String topology
String topology, a branch of mathematics, is the study of algebraic structures on the homology of free loop spaces. The field was started by Moira Chas and Dennis Sullivan. (Wikipedia).
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Geometric topology | Algebraic topology
String topology, a branch of mathematics, is the study of algebraic structures on the homology of free loop spaces. The field was started by Moira Chas and Dennis Sullivan. (Wikipedia).
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than
From playlist Physics
String topology coproduct: geometric and algebraic aspects - Manuel Rivera
Princeton/IAS Symplectic Geometry Seminar Topic: String topology coproduct: geometric and algebraic aspects Speaker: Manuel Rivera Affiliation: University of Miami Date: May 11, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
What is the goal of string theory?
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From playlist Science Unplugged: String Theory
Is string theory a unified theory?
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From playlist Science Unplugged: String Theory
Topology 1.4 : Product Topology Introduction
In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
Topological Strings and String Dualities by Rajesh Gopakumar
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Topological Strings and String Dualities (Lecture - 02) by Rajesh Gopakumar
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Real Topological String Amplitudes by K S Narain
11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but
From playlist String Theory: Past and Present
Topological Defects in Cosmology - Mark Trodden
Mark Trodden University of Pennsylvania March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu
From playlist Mathematics
Fiona Burnell - Lattice Topological Phases - IPAM at UCLA
Recorded 01 September 2021. Fiona Burnell of University of Minnesota, Twin Cities, presents "Lattice Topological Phases" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-sc
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Fiona Burnell - Symmetry in Topological Lattices - IPAM at UCLA
Recorded 02 September 2021. Fiona Burnell of the University of Minnesota, Twin Cities, presents "Symmetry in Topological Lattices" during IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/gradu
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
The Homework Problem That Started as a Phd Thesis: 14 set theorem
In a handful of introductory topology textbooks, Kuratowski's 14 set theorem is given as an exercise despite it being one of the results proven as a part of his phd thesis in 1922. This homework problem that started out as a phd thesis is not an easy exercise if you don't know how to think
From playlist The New CHALKboard
MAST30026 Lecture 12: Function spaces (Part 1)
I motivated the introduction of function spaces by an elementary discussion of motions as continuous functions, and sketched how various constructions that have appeared in lectures (e.g. products, quotients) naturally arise in this setting. Lecture notes: http://therisingsea.org/notes/ma
From playlist MAST30026 Metric and Hilbert spaces
Are Cosmic Strings Cracks in the Universe?
Take the Space Time Fan Survey Here: https://forms.gle/wS4bj9o3rvyhfKzUA PBS Member Stations rely on viewers like you. To support your local station, go to:http://to.pbs.org/DonateSPACE ***** Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime
From playlist The Fundamental Forces & The Standard Model
In this video I explain why so many physicists believe in string theory but that it also comes with a number of problems. It requires the existence of additional dimensions of space (which we do not see), of new particles (which we do not see), and of new fields (leading to deviations from
From playlist Physics