Algebraic geometry 50: The degree of a projective variety
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It defines the degree of a projective variety and gives a few examples.
From playlist Algebraic geometry I: Varieties
Algebra - Ch. 5: Polynomials (2 of 32) What is the Degree of a Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are 0, 1st, 2nd, and 3rd degree polynomials. Note: the degree corresponds to the exponent of the variable in the term. To donate: http://www.ilectureonline.com/donate https://www.patreon
From playlist ALGEBRA CH 5 POLYNOMIALS
The Polynomial Method and High-degree Varieties - Miguel Walsh
Workshop on Additive Combinatorics and Algebraic Connections Topic: The Polynomial Method and High-degree Varieties Speaker: Miguel Walsh Affiliartion: University of Buenos Aires Date: October 24, 2022 We will discuss some results on high-degree varieties designed to expand the reach of
From playlist Mathematics
3.3H State Facts about Polynomials
From playlist MATH 1314: College Algebra
algebraic geometry 17 Affine and projective varieties
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between affine and projective varieties, with some examples such as a cubic curve and the twisted cubic.
From playlist Algebraic geometry I: Varieties
Algebraic geometry 44: Survey of curves
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.
From playlist Algebraic geometry I: Varieties
algebraic geometry 14 Dimension
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.
From playlist Algebraic geometry I: Varieties
Field Theory: We consider the property of algebraic in terms of finite degree, and we define algebraic numbers as those complex numbers that are algebraic over the rationals. Then we give an overview of algebraic numbers with examples.
From playlist Abstract Algebra
algebraic geometry 25 Morphisms of varieties
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of a morphism of varieties and compares algebraic varieties with other types of locally ringed spaces.
From playlist Algebraic geometry I: Varieties
Bernd Sturmfels (8/28/18): Learning algebraic varieties from samples
We seek to determine a real algebraic variety from a fixed finite subset of points. Existing methods are studied and new methods are developed. Our focus lies on aspects of topology and algebraic geometry, such as dimension and defining polynomials. All algorithms are tested on a range of
From playlist AATRN 2018
Marcello Bernardara: Semiorthogonal decompositions and birational geometry of geometrically rational
Abstract:This is a joint work in progress with A. Auel. Let S be a geometrically rational del Pezzo surface over a field k. In this talk, I will show how the k-rationality of S is equivalent to the existence of some semiorthogonal decompositions of its derived category. In particular, the
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Hodge theory and algebraic cycles - Phillip Griffiths
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Phillip Griffiths Institute for Advanced Study October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a f
From playlist Pierre Deligne 61st Birthday
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can
From playlist Mathematics
Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 3) by Greg Blekherman
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Title: On the Existence of Differential Chow Varieties
From playlist Spring 2015
Nonlinear algebra, Lecture 2: "Algebraic Varieties", by Mateusz Michałek
This is the second lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. In this lecture, Mateusz Michalek describes the main characters in algebraic geometry: algebraic varieties.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Quantitative bounds on the topology of semi-algebraic and (...) - S. Basu - Workshop 1 - CEB T1 2018
Saugata Basu (Purdue) / 02.02.2018 Quantitative bounds on the topology of semi-algebraic and definable sets I will survey some old and new results on bounding the topology of semi-algebraic and definable sets in terms of various parameters of their defining formulas, and indicate how som
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Joseph Silverman, Moduli problems and moduli spaces in algebraic dynamics
VaNTAGe seminar on June 23, 2020. License: CC-BY-NC-SA. Closed captions provided by Max Weinreich
From playlist Arithmetic dynamics
Functional transcendence and arithmetic applications – Jacob Tsimerman – ICM2018
Number Theory Invited Lecture 3.13 Functional transcendence and arithmetic applications Jacob Tsimerman Abstract: We survey recent results in functional transcendence theory, and give arithmetic applications to the André–Oort conjecture and other unlikely-intersection problems. © Int
From playlist Number Theory
Ex: Find Key Information about a Given Polynomial Function
This video explains how to write a polynomial function in descending order, find the leading coefficient, give the degree, find the maximum number of x-intercepts, and the maximum number of turns. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Determining the Characteristics of Polynomial Functions