Algebraic geometry

Fano fibration

In algebraic geometry, a Fano fibration or Fano fiber space, named after Gino Fano, is a morphism of varieties whose general fiber is a Fano variety (in other words has ample anticanonical bundle) of positive dimension. The ones arising from extremal contractions in the minimal model program are called Mori fibrations or Mori fiber spaces (for Shigefumi Mori). They appear as standard forms for varieties without a minimal model. (Wikipedia).

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STAIRS reveal the relationship between Fibonacci and combinatorics

Part I: https://youtu.be/Hl61mJxILA4 Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-spiral-infinite-zoom-scl2tvcpliylych5s I am still surprised at why I have not thought of this more direct linkage between Fibonacci numbers and c

From playlist Fibonacci

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Levitation magnet on a stirrer (Foucault currents)!!!

In this video i demonstrate levitation magnet on aluminum plate with stirrer. Enjoy!

From playlist ELECTROMAGNETISM

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The golden angle | Lecture 18 | Fibonacci Numbers and the Golden Ratio

Definition of the golden angle from the golden ratio. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Fibonacci Numbers and the Golden Ratio

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Marta Pieropan, The split torsor method for Manin’s conjecture

See https://tinyurl.com/y98dn349 for an updated version of the slides with minor corrections. VaNTAGe seminar 20 April 2021

From playlist Manin conjectures and rational points

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Andrea Fanelli: Fano fibrations in positive characteristic

Abstract : In this talk, starting from the perspective of characteristic zero, I will discuss pathologies for the generic fibre of Fano fibrations in characteristic p. The new approach of the joint project with Stefan Schröer has two goals: - controlling these pathological phenomena; and

From playlist Algebraic and Complex Geometry

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AWESOME antigravity electromagnetic levitator (explaining simply)

Physics levitron (science experiments)

From playlist ELECTROMAGNETISM

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Carolina Araujo: Fano Foliations 3 - Classification of Fano foliations of large index

CIRM VIRTUAL EVENT Recorded during the research school "Geometry and Dynamics of Foliations " the May 11, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on C

From playlist Virtual Conference

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A Beautiful Visual Interpretation - The Sum of Squares of the Fibonacci Numbers.

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

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What do Fibonacci numbers have to do with combinatorics?

Part II: https://youtu.be/_RHXmGWXUvw Note: You ABSOLUTELY DON'T NEED TO HAVE KNOWN ANY COMBINATORICS because the combinatorics required in this video would be explained thoroughly. Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-

From playlist Fibonacci

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The Generalization War: The Rise of General Fibonach

This is a response...nay! a RETALIATION video against General Papa Flamdameroo for his assault on our senses with the (honestly fantastic) generalization of the Gaussian Intägarahl, seen here: https://www.youtube.com/watch?v=BdnxgFO-3VM I challenge YOU, Papa, to a generalization-off, wher

From playlist The Generalization War

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Huffman Codes: An Information Theory Perspective

Huffman Codes are one of the most important discoveries in the field of data compression. When you first see them, they almost feel obvious in hindsight, mainly due to how simple and elegant the algorithm ends up being. But there's an underlying story of how they were discovered by Huffman

From playlist Data Compression

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The Fibonacci bamboozlement | Lecture 8 | Fibonacci Numbers and the Golden Ratio

Explanation of the Fibonacci bamboozlement. The Fibonacci bamboozlement is a dissection fallacy where the rearrangement of pieces in a square can be used to construct a rectangle with one unit of area larger or smaller than that of the square. The square and rectangle have side lengths gi

From playlist Fibonacci Numbers and the Golden Ratio

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[BOURBAKI 2019] Boundedness results for singular Fano varieties (...) - Kebekus - 19/01/19 - 3/4

Stefan KEBEKUS / 19.01.19 Boundedness results for singular Fano varieties, and applications to Cremona groups A normal, projective variety is called Fano if a negative multiple of its canonical divisor class is Cartier and if the associated line bundle is ample. Fano varieties appear thr

From playlist BOURBAKI - 2019

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Fano Lineshape of the Optical Phonons in Kitaev Materials by Swetlana Swarup

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Bourbaki - 24/01/15 - 4/4 - Philippe EYSSIDIEUX

Métriques de Kähler-Einstein sur les variétés de Fano [d'après Chen-Donaldson-Sun et Tian]

From playlist Bourbaki - 24 janvier 2015

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Ruadhai Dervan: Moduli of algebraic varieties

Abstract: One of the central problems in algebraic geometry is to form a reasonable (e.g. Hausdorff) moduli space of smooth polarised varieties. I will show how one can solve this problem using canonical Kähler metrics. This is joint work with Philipp Naumann. Recording during the meeting

From playlist Algebraic and Complex Geometry

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Sum of Fibonacci Numbers.

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

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Casagrande: Special rational fibrations in Fano 4-folds

Recording during the meeting "The Geometry of Algebraic Varieties" the October 03, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathe

From playlist Algebraic and Complex Geometry

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A nice Fibonacci sum done two ways!!

We find the infinite sum of f_n/2^n, where f_n is the nth Fibonacci number. As a tool, we construct the generating function for the Fibonacci sequence. We also find the sum using the "double summation trick" which was new to me!! This could also probably be done with summation by parts f

From playlist Identities involving Fibonacci numbers

Related pages

Gino Fano | Fibration | Fiber bundle | Ample line bundle | Quasi-fibration | Algebraic geometry | Fano variety | Minimal model program