Geometric topology | Algebra | Group theory | Algebraic topology
In the mathematical subject of group theory, a one-relator group is a group given by a group presentation with a single defining relation. One-relator groups play an important role in geometric group theory by providing many explicit examples of finitely presented groups. (Wikipedia).
Special Relativity F1 Relativistic Addition of Velocities
Relativistic addition of velocities.
From playlist Physics - Special Relativity
Special Relativity F2 Relativistic Addition of Velocities
The relativistic addition of velocities.
From playlist Physics - Special Relativity
Definition Check: One-to-One and Onto Functions
This video reinforces the definitions of one-to-one functions and onto functions.
From playlist One-to-One and Onto Transformations
What is a Four-Vector? Is a Spinor a Four-Vector? | Special Relativity
In special relativity, we are dealing a lot with four-vectors, but what exactly is a four-vector? A four-vector is an object with four entries, which get transformed and changed in a very special way after we change our frame of reference. More precisely, a four-vector transforms like a (1
From playlist Special Relativity, General Relativity
From playlist Music.
Light and Optics 8_5 The Diffraction Grating
The diffraction grating.
From playlist Physics - Light and Optics
Special Relativity D1 Relativistic Momentum
Relativistic momentum.
From playlist Physics - Special Relativity
Stefaan Vaes - Classification of regular subalgebras of the hyperfinite II1 factor
I present a joint work with Sorin Popa and Dimitri Shlyakhtenko. We prove that under a natural condition, the regular von Neumann subalgebras B of the hyperfinite II1 factor R are completely classified (up to conjugacy by an automorphism of R) by the associated discrete measured groupoid.
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Random groups I - Goulnara Arzhantseva
Women and Mathematics Title: Random groups Speaker: Goulnara Arzhantseva Affiliation: University of Vienna Date: May 16, 2017 For more videos, please visit http://video.ias.edu
From playlist Women and Mathematics 2017
p- groups - 2 by Heiko Dietrich
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
p- groups - 1 by Heiko Dietrich
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Hankyung Ko: A singular Coxeter presentation
SMRI Algebra and Geometry Online Hankyung Ko (Uppsala University) Abstract: A Coxeter system is a presentation of a group by generators and a specific form of relations, namely the braid relations and the reflection relations. The Coxeter presentation leads to, among others, a similar pre
From playlist SMRI Algebra and Geometry Online
Ursula Hamenstädt: Artin groups and mapping class groups
Using a very recent result of Calderon and Salter, we relate small type Artin groups defined by Coxeter diagram which are trees to mapping class groups. This gives information on both the Artin groups with respect to commensurability and hyperbolicity of the parabolic subgroup graph as wel
From playlist Topology
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 3
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
5.01 Van Kampen's theorem: statement and examples
We formulate Van Kampen's theorem and use it to calculate some fundamental groups. For notes, see here: http://www.homepages.ucl.ac.uk/~ucahjde/tg/html/vkt01.html
From playlist Algebraic Topology
Zlil Sela - Envelopes and equivalence relations in a free group
Zlil Sela (Hebrew University of Jerusalem, Israel) We study and classify all the definable equivalence relations in a free (and a torsion-free hyperbolic) group. To do that we associate a Diophantine set with every definable set, that contains the definable set, and its generic points are
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Xuhua He: Tits groups of Iwahori-Weyl groups and presentations of Hecke algebras
SMRI Algebra and Geometry Online: Xuhua He (Chinese University of Hong Kong) Abstract: Let G(ℂ) be a complex reductive group and W be its Weyl group. In 1966, Tits introduced a certain subgroup of G(ℂ), which is an extension of W by an elementary abelian 2-group. This group is called the
From playlist SMRI Algebra and Geometry Online
Special Relativity B4 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity