Independence results | Order theory
In mathematics, Suslin's problem is a question about totally ordered sets posed by Mikhail Yakovlevich Suslin and published posthumously.It has been shown to be independent of the standard axiomatic system of set theory known as ZFC: showed that the statement can neither be proven nor disproven from those axioms, assuming ZF is consistent. (Suslin is also sometimes written with the French transliteration as Souslin, from the Cyrillic Суслин.) Un ensemble ordonné (linéairement) sans sauts ni lacunes et tel que tout ensemble de ses intervalles (contenant plus qu'un élément) n'empiétant pas les uns sur les autres est au plus dénumerable, est-il nécessairement un continue linéaire (ordinaire)?Is a (linearly) ordered set without jumps or gaps and such that every set of its intervals (containing more than one element) not overlapping each other is at most denumerable, necessarily an (ordinary) linear continuum? The original statement of Suslin's problem from (Wikipedia).
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From playlist Quantum Mechanics
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
Schemes 33: Vector bundles on the projective line
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We prove Grothendieck's theorem that all vector bundles over the projective line are sums of line bundles, and compare the category of vector bundles with the
From playlist Algebraic geometry II: Schemes
Commutative algebra 39 (Stably free modules)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the relation between stably free and free modules. We first give an example of a stably free module that is not fre
From playlist Commutative algebra
Mirna Džamonja: Universal א2-Aronszajn trees
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 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 Au
From playlist Logic and Foundations
Georg Tamme: On excision in algebraic K-theory
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Georg Tamme: On excision in algebraic K-theory Abstract: I will present a new and direct proof of a result of Suslin saying that any Tor-unital ring satisfies excision in algebraic
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Ivan Panin - 1/3 A Local Construction of Stable Motivic Homotopy Theory
Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Ivan Panin 2/3 - A Local Construction of Stable Motivic Homotopy Theory
Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Ivan Panin 3/3 - A Local Construction of Stable Motivic Homotopy Theory
Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Naive homology versus Suslin homology - Fabien Morel
Fabien Morel March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
The Challenges of Anxious-Avoidant Relationships
Some of the most difficult relationships are those between people who can be categorised as 'avoidant' and others who are labelled 'anxious.' Learn to know which of these two you might be - and how better to handle the tensions that arise in a pairing with your counterpart. Sign up to our
From playlist RELATIONSHIPS
Robert Burklund : The chromatic Nullstellensatz
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 26, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Why do quantum mechanics and general relativity conflict with each other?
The tension between quantum mechanics and general relativity is a key problem that theoretical physicists grapple with. Brian Greene explains the conflict. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us o
From playlist Science Unplugged: Quantum Mechanics
The Mind-Body problem is one of the greatest conundrums of philosophy and of our everyday lives too. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/BxHqGF Join our exclusive mailing list: http://bit.ly/2e0TQNJ Or visit us in person at our London HQ
From playlist SELF
Daniel Dennett - What is Free Will?
Free will is a problem. If it seems obvious that you are perfectly free to choose and decide, then it seems perfectly clear that you do not understand the problem. Free will is a huge problem, because our sense of free will and the physical structure of the world contradict each other. Fo
From playlist Understanding Free Will - Closer To Truth - Core Topic
Jenann Ismael - Physics of Free Will
Free will has traditionally been a problem in philosophy. Recently, the battleground of free will has shifted to neuroscience. Now some claim that to solve the problem of free will, we must go far deeper, to the fundamentals of physics, down to subatomic forces and particles. But don't fre
From playlist Understanding Free Will - Closer To Truth - Core Topic
Could it be that either quantum mechanics or general relativity is wrong?
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From playlist Science Unplugged: Quantum Mechanics
Turns Out Quantum Mechanics Is Hard?
Took my second Quantum midterm of the semester today. It was on variational principles, N-particle systems, and fermi gasses. It was a lil challenging
From playlist Daily Uploads
Scott Aaronson - Physics of Free Will
Free will has traditionally been a problem in philosophy. Recently, the battleground of free will has shifted to neuroscience. Now some claim that to solve the problem of free will, we must go far deeper, to the fundamentals of physics, down to subatomic forces and particles. But don't fre
From playlist Understanding Free Will - Closer To Truth - Core Topic