Universal algebra | Algebraic geometry

Universal algebraic geometry

In algebraic geometry, universal algebraic geometry generalizes the geometry of rings to geometries of arbitrary varieties of algebras, so that every variety of algebras has its own algebraic geometry. The two terms algebraic variety and variety of algebras should not be confused. (Wikipedia).

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Introduction | Universal Hyperbolic Geometry 0 | NJ Wildberger

Hyperbolic geometry, in this new series, is made simpler, more logical, more general and... more beautiful! The new approach will be called `Universal Hyperbolic Geometry', since it extends the subject in a number of directions. It works over general fields, it extends beyond the usual dis

From playlist Universal Hyperbolic Geometry

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Coverings of the Circle

A covering of a topological space X is a topological space Y together with a continuous surjective map from X to Y that is locally bi-continuos. The infinite spiral is for example a covering of the circle. Notice how every path on the circle can be lifted to the spiral. If a coveri

From playlist Algebraic Topology

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Spherical and elliptic geometries: an introduction | Universal Hyperbolic Geometry 33

We introduce PART II of this course on universal hyperbolic geometry: Bringin geometries together. This lecture introduces the very basic definitions of spherical geometry; lines as great circles, antipodal points, spherical triangles, circles, and some related notions on points, lines and

From playlist Universal Hyperbolic Geometry

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Newton Polytopes and parameter estimation in reaction networks by Nidhi Kaihnsa

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)

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Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

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 the stu

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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optimization and Tropical Combinatorics (Lecture 3) by Michael Joswig

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)

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Optimization and Tropical Combinatorics (Lecture 2) by Michael Joswig

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 the stud

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 4) 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 o

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Is the universe geometric or algebraic? by Minhyong Kim

EINSTEIN LECTURES DATE: 21 December 2018, 15:00 to 16:00 VENUE: Christ University, Main Auditorium, Hosur Road, Bengaluru - 29 In recent years, I have heard distinguished physicists ask this question with increasing frequency and urgency. In this lecture, I will try to convey to the audi

From playlist Einstein Lectures

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Ernesto Lupercio: On the moduli space for Quantum Toric Varieties

Talk by Ernesto Lupercio in Global Noncommutative Geometry Seminar (Americas) on November 5, 2021, https://globalncgseminar.org/talks/tba-17/

From playlist Global Noncommutative Geometry Seminar (Americas)

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Machine- Learning the Landscape (Lecture 1) by Yang-Hui He

PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea

From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022

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Tame topology and Hodge theory (Lecture 2) by Bruno Klingler

Discussion Meeting Complex Algebraic Geometry ORGANIZERS: Indranil Biswas, Mahan Mj and A. J. Parameswaran DATE:01 October 2018 to 06 October 2018 VENUE: Madhava Lecture Hall, ICTS, Bangalore The discussion meeting on Complex Algebraic Geometry will be centered around the "Infosys-ICT

From playlist Complex Algebraic Geometry 2018

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Universal Hyperbolic Geometry 0: Introduction

This is the introductory lecture to a series on hyperbolic geometry which introduces a radically new and improved way of treating the subject, making it more algebraic and logical, with improved computational power and many new theorems. In this lecture we summarize the differences betwe

From playlist Hyperbolic Geometry - N J Wildberger

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Bitangents to plane quartics - tropical, real and arithmetic count by Hannah Markwig

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)

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Hodge Theory, between Algebraicity and Transcendence (Lecture 4) by Bruno Klingler

DISCUSSION MEETING TOPICS IN HODGE THEORY (HYBRID) ORGANIZERS: Indranil Biswas (TIFR, Mumbai, India) and Mahan Mj (TIFR, Mumbai, India) DATE: 20 February 2023 to 25 February 2023 VENUE: Ramanujan Lecture Hall and Online This is a followup discussion meeting on complex and algebraic ge

From playlist Topics in Hodge Theory - 2023

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Geometry Constructions by Petra Surynkova

Learn Geometry Constructions with GeoGebra! In this video series, Petra Surynkova will guide you through a variety of constructions, including bisectors, perpendiculars, and more. Follow along with her clear explanations and visual aids to master the art of geometric construction in GeoGeb

From playlist FLGGB 2023

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SummerSchool "Arithmetic geometry" Tschinkel - Introduction | 2006

lecture notes: https://drive.google.com/file/d/1VLucSK53-iLrVUbPAanNZ6Lb7nAAgaQ1/view?usp=sharing Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry" survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the Univer

From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"

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Bruno Klingler - 3/4 Tame Geometry and Hodge Theory

Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, according to both the Hodge conjecture and the Grothendie

From playlist Bruno Klingler - Tame Geometry and Hodge Theory

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The Tropical Limit of String Theory and Feynman Integrals by Piotr Tourkine

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)

Related pages

Variety (universal algebra) | Universal algebra | Algebraic geometry | Algebraic variety | Ring (mathematics)