Curves | Hyperbolic geometry | 3-manifolds
In hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic n-space. It is the boundary of a horoball, the limit of a sequence of increasing balls sharing (on one side) a tangent hyperplane and its point of tangency. For n = 2 a horosphere is called a horocycle. A horosphere can also be described as the limit of the hyperspheres that share a tangent hyperplane at a given point, as their radii go towards infinity. In Euclidean geometry, such a "hypersphere of infinite radius" would be a hyperplane, but in hyperbolic geometry it is a horosphere (a curved surface). (Wikipedia).
The Holometer: A Fermilab Experiment
Do we live in a two-dimensional hologram? A group of Fermilab scientists has designed an experiment to find out. It’s called the Holometer, and this video gives you a behind-the-scenes look at the device that could change the way we see the universe. Find out more at http://holometer.fnal.
From playlist Detectors and Accelerators
Why do some scientists believe that our universe is a hologram?
In this video, I explain why some scientists believe that our universe is a hologram and we really live in the 2-dimensional projection of a higher dimensional space. First, I explain just what physicists mean by the "holographic principle." The holographic principle says that the degrees
From playlist Physics
http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to
From playlist 22. The Big Bang, Inflation, and General Cosmology
What are domains of holomorphy?
We define domains of holomorphy in C^n. We introduce holomorphically convex domains. We state the Cartan-Thullen theorem, and list consequences. One if them provides the existence of a smallest domain of holomorphy containing a fixed domain. For more details see Hormander's "An introducti
From playlist Several Complex Variables
Is the Universe REALLY a Hologram?
Check out the physics courses that I mentioned (many of which are free!) and support this channel by going to https://brilliant.org/Sabine/ where you can create your Brilliant account. The first 200 will get 20% off the annual premium subscription. Is the universe a hologram, a projection
From playlist Physics
SIGGRAPH 2022 - Geometric Algebra
The SIGGRAPH 2022 course on Geometric Algebra. by Alyn Rockwood and Dietmar Hildenbrand
From playlist Introductory
Taylor McAdam: Almost-prime times in horospherical flows
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on "Dynamics on homogeneous spaces" Abstract: In applications to number theory, it is often desirable for dynamical results to be effective (that is, bounds are given
From playlist Conference: Dynamics on homogeneous spaces
34 Subatomic Stories: Do we live in a holographic universe?
There are many ideas rattling around the theoretical physics community that are a bit outlandish, but one stands out. This is the idea that our universe is actually a hologram. In this episode of Subatomic Stories, Fermilab’s Dr. Don Lincoln sketches out the theory of the holographic uni
From playlist Subatomic Stories
Jessica Purcell - Lecture 3 - Knots in infinite volume 3-manifolds
Jessica Purcell, Monash University Title: Knots in infinite volume 3-manifolds Classically, knots have been studied in the 3-sphere. However, many examples of knots arising in applications lie in broader classes of 3-manifolds. These include virtual knots, which lie within thickened surfa
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Indira Chatterji: Horospherical random graphs
HYBRID EVENT Recorded during the meeting "Metric Graph Theory and Related Topics " the December 09, 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
From playlist Probability and Statistics
Hyperbolic Knot Theory (Lecture - 1) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
This video is used for Hologram technology, just make the hologram device at home with a very simple way, I'll put a video of how to make the Hologram device. Enjoy!
From playlist OPTICS
Alex Eskin: On a theorem of Furstenberg
CONFERENCE Recording during the thematic meeting : "Combinatorics, Dynamics and Geometry on Moduli Spaces" the September 22, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid
From playlist Geometry
Amir Mohammadi: Finitary analysis in homogeneous spaces and applications
Abstract: Rigidity phenomena in homogeneous dynamics have been extensively studied over the past few decades with several striking results and applications. In this talk, we will give an overview of recent activities related to quantitative aspect of the analysis in this context; we will a
From playlist Number Theory Down Under 9
Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra
CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p
From playlist Computational & Algorithmic Topology (CATS 2021)
Measure classification and non-escape of mass for horospherical actions....by Cagri Sert
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Effective equidistribution of some one-parameter unipotent flows with polynom...- Elon Lindenstrauss
Arithmetic Groups Topic: Effective equidistribution of some one-parameter unipotent flows with polynomial rates I & II Speaker: Elon Lindenstrauss Affiliation: Hebrew University Date: February 23, 2022 A landmark result of Ratner states that if G is a Lie group, Γ a lattice in G and if
From playlist Mathematics
Phylum Xenacoelomorpha and an Introduction to Nephrozoa
Most of the animals we are familiar with are contained in Nephrozoa, as these are the triploblastic and bilaterally symmetrical animals. The phyla we've covered so far are not part of Nephrozoa, and we have one more to cover before we get there, Xenocoelomorpha. This contains worm-like tri
From playlist Zoology