Arithmetic problems of plane geometry | Planar graphs | Unsolved problems in graph theory | Conjectures

Harborth's conjecture

In mathematics, Harborth's conjecture states that every planar graph has a planar drawing in which every edge is a straight segment of integer length. This conjecture is named after Heiko Harborth, and (if true) would strengthen Fáry's theorem on the existence of straight-line drawings for every planar graph. For this reason, a drawing with integer edge lengths is also known as an integral Fáry embedding. Despite much subsequent research, Harborth's conjecture remains unsolved. (Wikipedia).

Harborth's conjecture
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What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

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Viviani's Theorem: "Proof" Without Words

Link: https://www.geogebra.org/m/BXUrfwxj

From playlist Geometry: Challenge Problems

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Wolfgang Lück: The Farrell-Jones Conjecture and its applications

Abstract: We give an introduction to the Farrell-Jones Conjecture which aims at the algebraic K- and L-theory of group rings. It is analogous to the Baum-Connes Conjecture about the topological K-theory of reduced group C*-algebras. We report on the substantial progress about the Farrell-J

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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The ABC Conjecture, Brian Conrad (Stanford) [2013]

slides for this talk: https://drive.google.com/file/d/1J04zXCQYgn9MdgDUo63rH719cruiQJVo/view?usp=sharing The ABC Conjecture Brian Conrad [Stanford University] Stony Brook Mathematics Colloquium Video September 12, 2013 http://www.math.stonybrook.edu/Videos/Colloquium/video_slides.php?

From playlist Number Theory

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Postulate, Axiom, Conjecture

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

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On the proof of the conservativity conjecture - Joseph Ayoub

Vladimir Voevodsky Memorial Conference Topic: On the proof of the conservativity conjecture Speaker: Joseph Ayoub Affiliation: University of Zurich Date: September 14, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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A Beautiful Proof of Ptolemy's Theorem.

Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual

From playlist Mathy Videos

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A (compelling?) reason for the Riemann Hypothesis to be true #SOME2

A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.

From playlist Summer of Math Exposition 2 videos

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Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger

The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon

From playlist Math Foundations

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Recent developments in non-commutative Iwasawa theory I - David Burns

David Burns March 25, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Giles Gardam: Kaplansky's conjectures

Talk by Giles Gardam in the Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/3580/ on September 17, 2021.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Giles Gardam - Kaplansky's conjectures

Kaplansky made various related conjectures about group rings, especially for torsion-free groups. For example, the zero divisors conjecture predicts that if K is a field and G is a torsion-free group, then the group ring K[G] has no zero divisors. I will survey what is known about the conj

From playlist Talks of Mathematics Münster's reseachers

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Gonçalo Tabuada - 1/3 Noncommutative Counterparts of Celebrated Conjectures

Some celebrated conjectures of Beilinson, Grothendieck, Kimura, Tate, Voevodsky, Weil, and others, play a key central role in algebraic geometry. Notwithstanding the effort of several generations of mathematicians, the proof of (the majority of) these conjectures remains illusive. The aim

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Explicit formulae for Gross-Stark units and Hilbert’s 12th problem by Mahesh Kakde

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

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Explicit formulae for Stark Units and Hilbert's 12th problem - Samit Dasgupta

Joint IAS/Princeton University Number Theory Seminar Topic: Explicit formulae for Stark Units and Hilbert's 12th problem Speaker: Samit Dasgupta Affiliation: Duke University Date: October 11, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Gonçalo Tabuada - 3/3 Noncommutative Counterparts of Celebrated Conjectures

Some celebrated conjectures of Beilinson, Grothendieck, Kimura, Tate, Voevodsky, Weil, and others, play a key central role in algebraic geometry. Notwithstanding the effort of several generations of mathematicians, the proof of (the majority of) these conjectures remains illusive. The aim

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Lillian Ratliff - Learning via Conjectural Variations - IPAM at UCLA

Recorded 15 February 2022. Lillian Ratliff of the University of Washington presents "Learning via Conjectural Variations" at IPAM's Mathematics of Collective Intelligence Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/mathematics-of-intelligences/?tab=schedule

From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.

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Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

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Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

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Proof of Bernoulli's Inequality using Mathematical Induction

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Bernoulli's Inequality using Mathematical Induction

From playlist Proofs

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Erdős–Ulam problem | Planar graph | Apollonian network | Erdős–Anning theorem | Platonic solid | Matchstick graph | Triangle graph | Rational number | Outerplanar graph | Series–parallel graph | Integer triangle | Dense set | Line segment | Bipartite graph | Mathematics | Unit circle | Integer | Cubic graph | Universal point set | Diamond graph | K-edge-connected graph | Euler brick | Erdős–Diophantine graph | Treewidth | Fáry's theorem | Degeneracy (graph theory) | Dense graph