Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
DT curve counting for CY3's and birational transformations - John Calabrese
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker:John Calabrese Title: DT curve counting for CY3's and birational transformations Affiliation: Rice University Date: November 8, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
The Green - Tao Theorem (Lecture 1) by D. S. Ramana
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
Tropical motivic integration - S. Payne - Workshop 2 - CEB T1 2018
Sam Payne (Yale University) / 09.03.2018 Tropical motivic integration. I will present a new tool for the calculation of motivic invariants appearing in Donaldson-Thomas theory, such as the motivic Milnor fiber and motivic nearby fiber, starting from a theory of volumes of semi-algebraic
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Secret of row 10: a new visual key to ancient Pascalian puzzles
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today's video is about a recent chance discovery (2002) that provides a new beautiful visual key to some
From playlist Recent videos
Marc Levine: Refined enumerative geometry (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Euclid's algorithm and Bezout's identity
In this video we do some examples of Euclid's algorithm and we reverse Euclid's algorithm to find a solution of Bezout's identity. At the end of the video we prove a fundamental consequence of Bezout's identity, namely Euclid's lemma which will be a fundamental ingredient in the proof of t
From playlist Number Theory and Geometry
Seminar on Applied Geometry and Algebra (SIAM SAGA): Cynthia Vinzant
Title: Symmetry and Determinantal Polynomials Speaker: Cynthia Vinzant, University of Washington Date: Tuesday, January 11, 2022 at 11:00am Eastern Abstract: Symmetry appears in many ways in the study of matrix spaces and determinantal representations. A multivariate polynomial is called
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Marc Levine: Refined enumerative geometry (Lecture 3)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 3: Virtual fundamental classes in motivic homotopy theory Using the formalism of algebraic stacks, Behrend-Fantechi define the intrinsic normal cone, its fundamental class in
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Strong Bounds for 3-Progressions: In-Depth - Zander Kelley
Computer Science/Discrete Mathematics Seminar II Topic: Strong Bounds for 3-Progressions: In-Depth Speaker: Zander Kelley Affiliation: University of Illinois Urbana-Champaign Date: March 21, 2023 Suppose you have a set S of integers from {1 , 2 , … , N} that contains at least N / C eleme
From playlist Mathematics
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Probability & Statistics (29 of 62) Basic Theorems 1 - 5
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Theorem 1-5. Next video in series: http://youtu.be/0h1lnzQR_5o
From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Introduction to Number Theory, Part 5: Bezout's Theorem
Some corollaries to the Euclidean algorithm and Bezout's theorem are established.
From playlist Introduction to Number Theory
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 3/5
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
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
Gromov–Witten Invariants and the Virasoro Conjecture - II (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants