Analytic geometry

Math 135 Complex Analysis Lecture 07 021015: Analytic Functions

Definition of conformal mappings; analytic implies conformal; Cauchy-Riemann equations are satisfied by analytic functions; partial converses (some proven, some only stated); definition of harmonic functions; harmonic conjugates

From playlist Course 8: Complex Analysis

Analytic Geometry Over F_1 - Vladimir Berkovich

Vladimir Berkovich Weizmann Institute of Science March 10, 2011 I'll talk on work in progress on algebraic and analytic geometry over the field of one element F_1. This work originates in non-Archimedean analytic geometry as a result of a search for appropriate framework for so called skel

From playlist Mathematics

What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

The differential calculus for curves, via Lagrange! | Differential Geometry 4 | NJ Wildberger

We rejuvenate the powerful algebraic approach to calculus that goes back to the work of Newton, Euler and particularly Lagrange, in his 1797 book: The Theory of Analytic Functions (english translation). The idea is to study a polynomial function p(x) by using translation and truncation to

From playlist Differential Geometry

Analytic Number Theory with Sage - Kamalakshya Mehatab

Video taken from: http://ekalavya.imsc.res.in/node/451

From playlist Mathematics

Elliptic Curves - Lecture 6a - Ramification (continued)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Seshadri constants on projective varieties by Krishna Hanumanthu

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

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

Factorials, prime numbers, and the Riemann Hypothesis

Today we introduce some of the ideas of analytic number theory, and employ them to help us understand the size of n!. We use that understanding to discover a surprisingly accurate picture of the distribution of the prime numbers, and explore how this fits into the broader context of one o

From playlist Analytic Number Theory

Beyond-Dirac fermions in a three-band Graphene-like model by Sumiran Pujari

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019

Tame topologies in non-archimedean geometry - Abhishek Oswal

Short Talks by Postdoctoral Members Topic: Tame topologies in non-archimedean geometry Speaker: Abhishek Oswal Affiliation: Member, School of Mathematics Date: September 25, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Hodge Theory, between Algebraicity and Transcendence (Lecture 3) 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

From continuous rational to regulous functions – Krzysztof Kurdyka & Wojciech Kucharz – ICM2018

Algebraic and Complex Geometry Invited Lecture 4.6 From continuous rational to regulous functions Krzysztof Kurdyka & Wojciech Kucharz Abstract: Let X be an algebraic set in ℝⁿ. Real-valued functions, defined on subsets of X, that are continuous and admit a rational representation have s

From playlist Algebraic & Complex Geometry

J. Bost - Techniques d’algébrisation... (Part 1)

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Bruno Klingler - 1/4 Tame Geometry and Hodge Theory

Sorry for the re upload due to a technical problem on the previous version 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.

From playlist Bruno Klingler - Tame Geometry and Hodge Theory

Tame topology and Hodge theory (Lecture 1) 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

Distance between a point and a line | Analytic geometry | Geometry | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/distance-between-a-point-and-a-line/v/distance-between-a-point-and-a-line Practice this lesson yourself on KhanAcademy.org r

From playlist Analytic geometry | Geometry | Khan Academy

J. Bost - Techniques d’algébrisation... (Part 2)

Abstract - Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points commun

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Equivariant principal bundles on toric varieties- Part 1 by Mainak Poddar

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

Parallel and perpendicular lines intro | Analytic geometry | Geometry | Khan Academy

Do the two lines intersect or stay apart? If they intersect, do they do so thereby creating a 90 degree angle? These are the kinds of questions we ask ourselves when we learn about parallel and perpendicular lines. Practice this lesson yourself on KhanAcademy.org right now: https://www.k

From playlist High School Geometry | High School Math | Khan Academy