Perpendicularity, polarity and duality on a sphere | Universal Hyperbolic Geometry 37
This video discusses perpendicularity on a sphere, associating two poles to every great circle, and one polar line (great circle) to every point. This association is cleaner in elliptic geometry, where there is then a 1-1 correspondence between elliptic points (pairs of antipodal points on
From playlist Universal Hyperbolic Geometry
Apollonius and polarity | Universal Hyperbolic Geometry 1 | NJ Wildberger
This is the start of a new course on hyperbolic geometry that features a revolutionary simplifed approach to the subject, framing it in terms of classical projective geometry and the study of a distinguished circle. This subject will be called Universal Hyperbolic Geometry, as it extends t
From playlist Universal Hyperbolic Geometry
Polar Coordinates and Graphing Polar Equations
Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the a
From playlist Mathematics (All Of It)
Polar to rectangular equation conversion
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
How to write a linear equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Rectangular to polar equation conversion
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Converting a rectangular equation to polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Write a vertical line as a polar equation
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Automorphic Cohomology II (Carayol's Work and an Application) - Phillip Griffiths
Automorphic Cohomology II (Carayol's Work and an Application) Phillip Griffiths Institute for Advanced Study February 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Gromov-Witten theory and gauge theory (Lecture 1) by Constantin Teleman
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Cup Products in Automorphic Cohomology - Matthew Kerr
Matthew Kerr Washington University in St. Louis March 30, 2012 In three very interesting and suggestive papers, H. Carayol introduced new aspects of complex geometry and Hodge theory into the study of non-classical automorphic representations -- in particular, those involving the totally d
From playlist Mathematics
Dhananjay Bhaskar: Data-Driven Modeling & TDA of Self-Organized Multicellular Architectures
Dhananjay Bhaskar, Yale University Title: Data-Driven Modeling & TDA of Self-Organized Multicellular Architectures Heterogeneous cell populations exhibit coordinated motion, self-organization, and phase transitions during embryo formation, skin pigmentation, wound healing, and cancer metas
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Dhananjay Bhaskar (3/2/22): Data-Driven Modeling & TDA of Self-Organized Multicellular Architectures
Heterogeneous cell populations exhibit coordinated motion, self-organization, and phase transitions during embryo formation, skin pigmentation, wound healing, and cancer metastasis. In particular, cell motility and cell-cell adhesion drive pattern formation, resulting in complex yet stable
From playlist AATRN 2022
Standard conjecture of Künneth type with torsion coefficients - Junecue Suh
Joint IAS/Princeton University Number Theory Seminar Topic: Standard conjecture of Künneth type with torsion coefficients Speaker: Junecue Suh Affiliation: University of California, Santa Cruz Date: Thursday, April 21 A. Venkatesh asked us the question, in the context of torsion auto
From playlist Joint IAS/PU Number Theory Seminar
Teruhisa Koshikawa - Some cases of the Hodge standard conjecture
The Hodge standard conjecture remains wide open. The numerical version for abelian fourfolds has been proved recently by Ancona. In this talk, I will first explain a proof of the Hodge standard conjecture for squares of K3 surfaces based on our previous work. In the remaining time, I will
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Uniformizing the Elliptic Stable Envelopes of a Hypertoric Variety by Michael McBreen
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Converting a linear equation to polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Non-commutative motives - Maxim Kontsevich
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Maxim Kontsevich Institute for Advanced Study October 20, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a fo
From playlist Pierre Deligne 61st Birthday