Modular forms | Discrete groups
In mathematics, a paramodular group is a special sort of arithmetic subgroup of the symplectic group. It is a generalization of the Siegel modular group, and has the same relation to polarized abelian varieties that the Siegel modular group has to principally polarized abelian varieties. It is the group of automorphisms of Z2n preserving a non-degenerate skew symmetric form. The name "paramodular group" is often used to mean one of several standard matrix representations of this group. The corresponding group over the reals is called the parasymplectic group and is conjugate to a (real) symplectic group. A paramodular form is a Siegel modular form for a paramodular group. Paramodular groups were introduced by and named by , section 8). (Wikipedia).
Modularity of Elliptic Curves | Math PhDs Outside Academia (Jeff Breeding-Allison) | Ep. 11
Jeff Breeding-Allison is a number theorist and a professional data scientist. We discuss Jeff's work in number theory, and I ask him about they key steps in the proof that elliptic curves are modular (the result that proved Fermat's Last Theorem). Then we discuss Jeff's transition out of a
From playlist Daniel Rubin Show, Full episodes
Tomoyoshi Ibukiyama: Survey on quaternion hermitian lattices and its application to supersingular...
CIRM HYBRID EVENT The theme of the survey is how arithmetic theory of quatenion hermitian lattices can be applied to the theory of supersingular abelian varieties. Here the following geometric objects will be explained by arithmetics. Principal polarizations of superspecial abelian varieti
From playlist Number Theory
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Parametric equations on one Cartesian path (1 of 2: Introduction)
More resources available at www.misterwootube.com
From playlist Mathematical Exploration
Calculus 2: Parametric Equations (1 of 20) What is a Parametric Equation?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a parametric equation. A parametric equation is an equation that expresses each variable of an equation in terms of another variable. Next video in the series can be seen at: https://
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Skepticism about Mathematical Beauty (Jeff Breeding-Allison) | Ep. 13
Jeff Breeding-Allison is a number theorist and data scientist. We discuss the concept of mathematical beauty: what the phrase is meant to convey, what might make a piece of mathematics beautiful, and whether it is useful to pursue an ideal like beauty in mathematics. 0:00 Intro 1:09 The g
From playlist Daniel Rubin Show, Full episodes
Learn how to eliminate the parameter given sine and cosine of t
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Learn how to eliminate the parameter with trig functions
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Learn to basics of eliminating the parameter with sine and cosine
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Introduction to Parametrics (1 of 4: Clarity & convenience)
More resources available at www.misterwootube.com
From playlist Further Work with Functions
Learn how to eliminate the parameter with linear equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Since we just covered polar equations, let's go over one other way we can graph functions. Parametric equations are actually a set of equations whereby two variables like x and y both depend on the same variable, usually time, and therefore each rectangular coordinate is determined by its
From playlist Mathematics (All Of It)
Lie Groups and Lie Algebras: Lesson 39 - The Universal Covering Group
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From playlist Lie Groups and Lie Algebras
This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre
From playlist Lie groups
Why Are Prejudice and Conflict So Common? | Understanding the Mysteries of Human Behavior
It's no wonder discrimination seems to be everywhere: splitting people into two groups, even at random, makes them subconsciously dislike each other. A sense of competition can exaggerate these feelings. Pick up your tools; we've got some bridge building to do. Presented by Mark Leary Lea
From playlist Latest Uploads
Lie Groups and Lie Algebras: Lesson 38 - Preparation for the concept of a Universal Covering Group
Lie Groups and Lie Algebras: Lesson 38 - Preparation for the Universal Covering Group concept In this lesson we examine another amazing connection between the algebraic properties of the Lie groups with topological properties. We will lay the foundation to understand how discrete invaria
From playlist Lie Groups and Lie Algebras
Grothendieck Pairs and Profinite Rigidity - Martin Bridson
Arithmetic Groups Topic: Grothendieck Pairs and Profinite Rigidity Speaker: Martin Bridson Affiliation: Oxford University Date: January 26, 2022 If a monomorphism of abstract groups H↪G induces an isomorphism of profinite completions, then (G,H) is called a Grothendieck pair, recalling t
From playlist Mathematics
Regular permutation groups and Cayley graphs
Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as
From playlist PRIMA2009
Eliminating the parameter for parametric equations linear
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation