Scheme theory | Algebraic varieties

Weil restriction

In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic variety X over L, produces another variety ResL/kX, defined over k. It is useful for reducing questions about varieties over large fields to questions about more complicated varieties over smaller fields. (Wikipedia).

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Determining Limits of Trigonometric Functions

An introductory video on determining limits of trigonometric functions. http://mathispower4u.wordpress.com/

From playlist Limits

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Evaluate the limit with tangent

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct

From playlist Evaluate Limits with Trig

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1A Introduction to this course on limits

A course on limits in calculus for healthcare and life sciences students.

From playlist Life Science Math: Limits in calculus

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Use limit laws and special trig limits to evaluate

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct

From playlist Evaluate Limits with Trig

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Evaluate special trigonometric limits using algebra

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct

From playlist Evaluate Limits with Trig

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Part 1: Formal Definition of a Limit

This video states the formal definition of a limit and provide an epsilon delta proof that a limit exists. complete Video Library at http://www.mathispower4u.com

From playlist Limits

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How to use special trig limits to evaluate the limit

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct

From playlist Evaluate Limits with Trig

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Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial

VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-

From playlist Curves and abelian varieties over finite fields

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Limit of f(x,y)

Limit of functions of two variables. We show how to prove a limit does not exist. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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Alvaro Lozano-Robledo, The distribution of ranks of elliptic curves and the minimalist conjecture

VaNTAGe seminar, on Sep 29, 2020 License: CC-BY-NC-SA. An updated version of the slides that corrects a few minor issues can be found at https://math.mit.edu/~drew/vantage/LozanoRobledoSlides.pdf

From playlist Math Talks

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“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 2 of 8)

“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th

From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao

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Andrew Sutherland, Arithmetic L-functions and their Sato-Tate distributions

VaNTAGe seminar on April 28, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.

From playlist The Sato-Tate conjecture for abelian varieties

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Weil-Petersson currents by Georg Schumacher

DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be

From playlist Analytic and Algebraic Geometry-2018

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The Biggest Project in Modern Mathematics

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb

From playlist Explainers

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Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields

VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab

From playlist Curves and abelian varieties over finite fields

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“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 1 of 8)

“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th

From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao

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“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 8 of 8)

“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th

From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao

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Learn to evaluate the limit of tangent

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct

From playlist Evaluate Limits with Trig

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Limits of Functions of Two Variables

http://mathispower4u.wordpress.com/

From playlist Limits

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Yilin Wang - 4/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is

From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory

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Abelian variety | Lie group | Algebraic variety | Mumford–Tate group | Algebraic number field | Hodge structure | Topos | Fiber product of schemes | Algebraic space | Hyperelliptic curve | Field extension | Mathematics | Field (mathematics) | Jacobian variety | Group scheme | Sheaf (mathematics) | Witt vector | Representable functor | Birch and Swinnerton-Dyer conjecture | Functor | Scheme (mathematics) | Algebraic stack | Elliptic curve