Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Pär Kurlberg: Class number statistics for imaginary quadratic fields Pär Kurlberg
Abstract: The number F(h) of imaginary quadratic fields with class number h is of classical interest: Gauss' class number problem asks for a determination of those fields counted by F(h). The unconditional computation of F(h) for h x is less or equal to y 100 was completed by M. Watkins, a
From playlist Number Theory
The Field With One Element and The Riemann Hypothesis (Full Video)
A crash course of Deninger's program to prove the Riemann Hypothesis using a cohomological interpretation of the Riemann Zeta Function. You can Deninger talk about this in more detail here: http://swc.math.arizona.edu/dls/ Leave some comments!
From playlist Riemann Hypothesis
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
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
Maxim Kazarian - 3/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Why We Should Invest In Rat Massage
Go to https://NordVPN.com/minuteearth to get 75% off a 3 year plan and use code MINUTEEARTH for an extra month for free. Protect yourself online today. Basic research can seem wasteful, but it's actually a great economic investment. Thanks also to our Patreon patrons https://www.patreon.co
From playlist Biology
Wojciech Kucharz: Criteria for equivalence between power series and polynomials
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 Algebraic and Complex Geometry
Matthew Kennedy: Noncommutative convexity
Talk by Matthew Kennedy in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 5, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Gregory Arone: Calculus of functors and homotopy theory (Lecture 2)
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "Seminar on Functor Calculus and Chromatic Methods" Abstract: The derivatives of a functor have a bimodule structure over a certain operad. If the Tate homology of the derivatives vanish, then
From playlist HIM Lectures: Junior Trimester Program "Topology"
Weil conjectures 5: Lefschetz trace formula
This talk explains the relation between the Lefschetz fixed point formula and the Weil conjectures. More precisely, the zeta function of a variety of a finite field can be written in terms of an action of the Frobenius group on the cohomology groups of the variety. The main problem is then
From playlist Algebraic geometry: extra topics
GPDE Workshop - Estimates for Degenerative Equations - Lihe Wang
Lihe Wang IAS/University of Iowa February 24, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
Is Mathematics Invented or Discovered? | Episode 409 | Closer To Truth
Mathematics describes the real world of atoms and acorns, stars and stairs, with remarkable precision. So is mathematics invented by humans-like chisels and hammers and pieces of music? Or is mathematics discovered-always out there, somewhere, like mysterious islands waiting to be found? F
From playlist Closer To Truth | Season 4
History of Science and Technology Q&A (December 29, 2021)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram 0:00 Start stream 1:00 SW begins talking
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Koen van den Dungen: Localisations and the Kasparov product in unbounded KK-theory
Talk by Koen van den Dungen in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 19, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Principles of Evolution, Ecology and Behavior (EEB 122) While there are many differences between modern science and philosophy, there are still a number of lessons in modes of thought that scientists can take from philosophy. Scientists' ideas about the nature of science have evolved ov
From playlist Evolution, Ecology and Behavior with Stephen C. Stearns
Can Metaphysics Discern God I? | Episode 1704 | Closer To Truth
Can metaphysics discern God? How to think about God rationally, logically, profoundly, critically? Have no illusion that metaphysics can find God, but can a kind of progress be made? Featuring interviews with Brian Leftow, John Hawthorne, Robert Spitzer, John Cottingham, and Timothy O'Conn
From playlist Big Questions About God - Closer To Truth - Core Topic
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
How the Subconscious Affects Us | Episode 1703 | Closer To Truth
How does the subconscious affect us? There is more to our mental lives than the current content of our awareness. Our subconscious affects what we sense, think, feel and do. How does the subconscious work its magic? Featuring interviews with David Eagleman, Elizabeth Loftus, Nicholas Humph
From playlist Closer To Truth | Season 17