Algebraic combinatorics | Theorems in combinatorics
In combinatorial mathematics, Stanley's reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation is satisfied by the generating function of any rational cone (defined below) and the generating function of the cone's interior. (Wikipedia).
Richard Taylor "Reciprocity Laws" [2012]
Slides for this talk: https://drive.google.com/file/d/1cIDu5G8CTaEctU5qAKTYlEOIHztL1uzB/view?usp=sharing Richard Taylor "Reciprocity Laws" Abstract: Reciprocity laws provide a rule to count the number of solutions to a fixed polynomial equation, or system of polynomial equations, modu
From playlist Number Theory
Using the properties of rectangles to solve for x
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Using the properties of a rectangle to find the missing value of an angle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
What are the properties that make up a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Writing a two column proof using properties of rectangles for triangle congruence
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Number Theory | Quadratic Reciprocity
We prove the quadratic reciprocity theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
Xavier Viennot: Heaps and lattice paths
CIRM HYBRID EVENT Recorded during the meeting "Lattice Paths, Combinatorics and Interactions" the June 25, 2021 by the Centre International de Rencontres MathΓ©matiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Combinatorics
Given the properties of a rectangle determine the value of x
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Writing a proof to prove a parallelogram is a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Circular Fence Posets and Associated Polytopes with Unexpected Symmetry by Mohan Ravichandran
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Christian Gaetz: "Antichains and intervals in the weak order"
Asymptotic Algebraic Combinatorics 2020 "Antichains and intervals in the weak order" Christian Gaetz - Massachusetts Institute of Technology Abstract: The weak order is the partial order on the symmetric group S_n (or other Coxeter group) whose cover relations correspond to simple transp
From playlist Asymptotic Algebraic Combinatorics 2020
Determine the length of a diagonal of a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Stanley-Wilf limits are typically exponential - Jacob Fox
Jacob Fox Massachusetts Institute of Technology October 7, 2013 For a permutation p, let Sn(p) be the number of permutations on n letters avoiding p. Stanley and Wilf conjectured that, for each permutation p, Sn(p)1/n tends to a finite limit L(p). Marcus and Tardos proved the Stanley-Wilf
From playlist Mathematics
Intrinsic mirror symmetry and categorical crepant resolutions - Daniel Pomerleano
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Intrinsic mirror symmetry and categorical crepant resolutions Speaker: Daniel Pomerleano Affiliation: University of Massachusetts, Boston Date: February 19, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lecture 7: Compliance & Obedience || PSY 203: Social Psychology
This video series is for an online summer course in Social Psychology at Eureka College in Eureka, IL. It contains lecture material on a PowerPoint slideshow with me in the bottom right corner of the image. The episode/lecture discusses the following topics: compliance, foot in the door,
From playlist Social Psychology Lectures
Stephen Roach: The Future of China
Mr. Roach has spent twenty-eight years in senior positions at Morgan Stanley β the bulk of that time as Chief Economist and more recently as Chairman of the firm's Asian businesses. In addition to his position at Yale, he remains the Non-Executive Chairman of Morgan Stanley Asia. Mr. Roa
From playlist The MacMillan Report
Topics in Combinatorics lecture 7.4 --- The Marcus-Tardos theorem
We say that a permutation pi of {1,2,...,k} is contained in a permutation sigma of {1,2,...,n} if we can find k elements of {1,2,...,n} that are reordered by sigma in the way that pi reorders {1,2,...,k}. For instance, the permutation 2413 (meaning that 1 goes to 2, 2 goes to 4, 3 goes to
From playlist Topics in Combinatorics (Cambridge Part III course)
Tony Bahri, Research talk - 10 February 2015
Tony Bahri (Rider University) - Research talk http://www.crm.sns.it/course/4350/ I shall describe geometric and algebraic approaches to the computation of the cohomology of polyhedral products arising from homotopy theory. A report on joint work with Martin Bendersky, Fred Cohen and Sam G
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Alejandro Morales: "Asymptotics of principal evaluations of Schubert polynomials"
Asymptotic Algebraic Combinatorics 2020 "Asymptotics of principal evaluations of Schubert polynomials" Alejandro Morales - University of California, Los Angeles (UCLA) Abstract: Denote by u(n) the largest principal specialization of the Schubert polynomial of a permutation of size n. Sta
From playlist Asymptotic Algebraic Combinatorics 2020
Discrete Math - 2.4.2 Recurrence Relations
What is a recurrence relation, and how can we write it as a closed function? Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)