One of the first laws we look at is the cancellation law. Given a group and stating that ab=ac, we imply that b=c. Using the cancellation law and given the properties of groups we can quickly show that if ab=e (the identity element), a and be are each others inverses. The proof is quite
From playlist Abstract algebra
Proof of the Cancellation Laws in a Group
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of the Cancellation Laws in a Group
From playlist Abstract Algebra
In this video we continue discussing congruences and, in particular, we discuss when you can cancel a common factor in a given congruence. The content of this video corresponds to Section 4.3 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/n
From playlist Number Theory and Geometry
Agatha Atkarskaya: Towards a Group like Small Cancellation Theory for Rings
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: Let a group G be given by generators and defining relations. It is known that we cannot extract specific information about the structure of G using the defining r
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Giovanni Peccati: Cancellations in random nodal sets
Abstract: I will discuss second order results for the length of nodal sets and the number of phase singularities associated with Gaussian random Laplace eigenfunctions, both on compact manifolds (the flat torus) and on subset of the plane. I will mainly focus on 'cancellation phenomena' fo
From playlist Probability and Statistics
Cancellation Laws hold in a group proof (Abstract Algebra)
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From playlist Abstract Algebra
The Law of Large Numbers - Explained
The law of large numbers is one of the most intuitive ideas in statistics, however, often the strong and weak versions of the law can be difficult to understand. In this video, I breakdown what the definitions of both laws mean and use this as a way to introduce the concepts of convergence
From playlist Summer of Math Exposition 2 videos
Inclusion/Exclusion via multisets | Data structures in Mathematics Math Foundations 159
The theorem of Inclusion/Exclusion is a fundamental tool in Set Theory. In this video we look at this result in an unorthodox way, emphasizing the role of multisets rather than sets. And we reduce it to a corresponding theorem in arithmetic. As a simple application, we look at the Euler p
From playlist Math Foundations
Introduction to Resurgence, Trans-series and Non-perturbative Physics II by Gerald Dunne
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Local Dissipation of Energy for Continuous Incompressible Euler Flows - Philip Isett
Workshop on Recent developments in incompressible fluid dynamics Topic: Local Dissipation of Energy for Continuous Incompressible Euler Flows Speaker: Philip Isett Affiliation: University of Texas, Austin Date: April 04, 2022 I will discuss the construction of continuous solutions to th
From playlist Mathematics
Local Dissipation of Energy for Continuous Incompressible Euler Flows - Phillip Isett
Analysis Seminar Topic: Local Dissipation of Energy for Continuous Incompressible Euler Flows Speaker: Phillip Isett Affiliation: University of Texas at Austin, California Institute of Technology Date: June 14, 2021 I will discuss the construction of continuous solutions to the incompre
From playlist Mathematics
The Selberg Sieve and Large Sieve (Lecture 1) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Daniel Baumann - Inflation in Effective Field Theory
PROGRAM: THE 8TH ASIAN WINTER SCHOOL ON STRINGS, PARTICLES AND COSMOLOGY DATES: Thursday 09 Jan, 2014 - Saturday 18 Jan, 2014 VENUE: Blue Lily Hotel, Puri PROGRAM LINK: http://www.icts.res.in/program/asian8 The 8th Asian Winter School on Strings, Particles and Cosmology is part of a seri
From playlist The 8th Asian Winter School on Strings, Particles and Cosmology
Restriction of Exponential Sums to Hypersurfaces - Ciprian Demeter
Special Year Research Seminar Topic: Restriction of Exponential Sums to Hypersurfaces Speaker: Ciprian Demeter Affiliation: Indiana University Date: February 21, 2023 The last decade has witnessed a revolution in the circle of problems concerned with proving sharp moment inequalities fo
From playlist Mathematics
Sergey Shemyakov: Transcendental Thurston theory for entire functions and compositions
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Dynamical Systems and Ordinary Differential Equations
Intro to Fourier series & how to calculate them
Download the free PDF http://tinyurl.com/EngMathYT This is a basic introduction to Fourier series and how to calculate them. An example is presented that illustrates the computations involved. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
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
Self-force and radiation reaction in general relativity by Adam Pound ( Lecture 1 )
PROGRAM SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 15 July 2019 to 26 July 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy.
From playlist Summer School on Gravitational Wave Astronomy -2019
Chiral Lattice Theories from Staggered Fermions by Simon Catterall
PROGRAM Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE) ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Sc
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (Online)
Notwithstanding the fact that I introduce the topic as the orbit stabilizer syndrome, this video takes you through the orbit stabilizer theorem. :-) It states that the number of cosets formed by the stabilizer of a group (called the index) is the same as the number of elements in the orbi
From playlist Abstract algebra