Elliptic functions | Lattice points | Riemann surfaces | Modular forms

Fundamental pair of periods

In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that define a lattice in the complex plane. This type of lattice is the underlying object with which elliptic functions and modular forms are defined. (Wikipedia).

Fundamental pair of periods
Video thumbnail

Fundamental Principle of Counting Example 2

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.

From playlist Probability and Counting

Video thumbnail

Teach Astronomy - Fundamental Constants

http://www.teachastronomy.com/ There are several important fundamental constants of nature in astronomy. The first is the speed of light; 3*109 meters per second, or 300 thousand kilometers per second, or 186 thousand miles per second. A huge number, this reflects the fact that light and

From playlist 01. Fundamentals of Science and Astronomy

Video thumbnail

Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

Solution to Problem #63 Orbital Period

Orbital Period of Binary Star System

From playlist Solutions to Bi-weekly Physics Problems

Video thumbnail

Huw Price - Is Time Fundamental?

Click here for more video interviews about whether time is fundamental http://bit.ly/1emCR64 Click here for more interviews with Huw Price http://bit.ly/1GRsoGD To buy episodes and seasons of Closer To Truth click here http://bit.ly/1LUPlQS For more video interviews please visit us at w

From playlist What is Time? - Closer To Truth - Core Topic

Video thumbnail

Ex 1: The Second Fundamental Theorem of Calculus

This video provides an example of how to apply the second fundamental theorem of calculus to determine the derivative of an integral. Site:http://mathispower4u.com

From playlist The Second Fundamental Theorem of Calculus

Video thumbnail

Extended Fundamental Theorem of Calculus

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples

From playlist Calculus

Video thumbnail

Introduction to the Fourier Transform (Part 2)

Check out this 3B1B video on Fourier Transforms for a fantastic visual explanation: https://www.youtube.com/watch?v=spUNpyF58BY Get the map of control theory: https://www.redbubble.com/shop/ap/55089837 Download eBook on the fundamentals of control theory (in progress): https://engineering

From playlist Fourier

Video thumbnail

Miaofen Chen - Newton stratification and weakly admissible locus in p-adic Hodge theory

Correction: The affiliation of Lei Fu is Tsinghua University. Rapoport and Zink introduce the p-adic period domain (also called the admissible locus) inside the rigid analytic p-adic flag varieties. The weakly admissible locus is an approximation of the admissible locus in the sense that

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

Video thumbnail

A unitary analogy of Friedberg-Jacquet and Guo-Jacquet periods and central values... - Jingwei Xiao

Joint IAS/Princeton University Number Theory Seminar Topic: A unitary analogy of Friedberg-Jacquet and Guo-Jacquet periods and central values of standard L functions on GL(2n) Speaker: Jingwei Xiao Institute for Advanced Study and Princeton University; Veblen Research Instructor, School o

From playlist Mathematics

Video thumbnail

Toroidal Soap Bubbles: Constant Mean Curvature Tori in S3S3 and R3 - Emma Carberry

Emma Carberry University of Sydney April 14, 2014 Constant mean curvature (CMC) tori in S3S3, R3R3 or H3H3 are in bijective correspondence with spectral curve data, consisting of a hyperelliptic curve, a line bundle on this curve and some additional data, which in particular determines the

From playlist Mathematics

Video thumbnail

Automorphic Periods and Relative Trace Formula - Jingwei Xiao

Short Talks by Postdoctoral Members Topic: Automorphic Periods and Relative Trace Formula Speaker: Jingwei Xiao Affiliation: Institute for Advanced Study and Princeton University; Veblen Research Instructor, School of Mathematics Date: October 1, 2020 For more video please visit http://v

From playlist Mathematics

Video thumbnail

Quantum Transport, Lecture 14: Josephson effects

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: Andreev bound states, Josephson junctions, RSJ model. Quantum Transport course development supported in part by the National Science Foundation under grant DMR CAREER 1252962.

From playlist Quantum Transport

Video thumbnail

Alex Kontorovich: Local-Global in Thin Orbits and Applications

The lecture was held within the framework of the Hausdorff Trimester Program: Harmonic Analysis and Partial Differential Equations and the Workshop: Analytic Number Theory of the Hausdorff Center for Mathematics 17.07.2014 This video was created and edited with kind support from eCampus

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

Video thumbnail

Introduction to p-adic Hodge theory (Lecture 3) by Denis Benois

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

Video thumbnail

Minkowski Space-Time: Spacetime in Special Relativity

Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.

From playlist Physics

Video thumbnail

Applications of thin orbits - Alex Kontorovich

Members' Seminar Topic: Applications of thin orbits Speaker:Alex Kontorovich Date: Monday, April 11 We will discuss some natural problems in arithmetic that can be reformulated in terms of orbits of certain "thin" (semi)groups of integer matrix groups. For more videos, visit http://v

From playlist Mathematics

Related pages

Modular group | Upper half-plane | Elliptic function | Lattice (group) | Topology | Half-period ratio | Tom M. Apostol | Group (mathematics) | Modular form | Eisenstein series | Weierstrass elliptic function | Determinant | Torus | Nome (mathematics) | Complex plane | Parallelogram | Mathematics | Equivalence relation | Elliptic curve | Complex number | Ordered pair | Fundamental domain | Abelian group | Quarter period