Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to
From playlist 22. The Big Bang, Inflation, and General Cosmology
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
Global Warming: The Decade We Lost Earth
The story of how one man cost us a world with less than 2°C of warming in 1989. To try everything Brilliant has to offer—free—for a full 30 days, visit https://www.brilliant.org/simonclark. The first 200 of you will get 20% off Brilliant's annual premium subscription. This is a follow-up
From playlist Science videos
Explorer 1 & 60 Years of Space Science (live public talk)
Original air date: Jan. 25, 2018. Explorer 1 marked the start of the Space Age for America, and heralded the study of Earth from space. The JPL-built satellite confirmed the existence of the Van Allen radiation belts, the very first space science discovery. Explorer 1's success was only t
From playlist Explorer 1 - 1958
If the world is warming, why are there more polar bears now?
Can you trust the claims on any given website? How about this video? Improve your scientific analysis with Brilliant: https://www.brilliant.org/simonclark The crooked scientific mainstream would have us believe that the Arctic is melting and the world is on fire, but if that's true then w
From playlist Science videos
Eighth lecture of Professor Lynn Rothschild's Astrobiology and Space Exploration course. Stanford University: http://www.stanford.edu/ Full Course Available on Stanford on iTunes U [iTunes Link]: http://deimos3.apple.com/WebObjects/Core.woa/Browse/itunes.stanford.edu.1524698736.015246987
From playlist Lecture Collection | Astrobiology and Space Exploration
7. How Predictable Is Evolution?
(January 28, 2010) Professor Lynn Rothschild discusses the predictability of evolution in regards to in the world today by using insight from the past. Stanford University: http://www.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford/
From playlist Lecture Collection | Astrobiology and Space Exploration (Winter 2010)
Climate Science: Crash Course History of Science #45
Scientists tend to be careful and resistant to big claims. So evidence for the possible end of the living world took a while to be seen as such. In this episode of Crash Course History of Science, Hank talks to us about where Climate Science started and how it works today. *** Crash Co
From playlist Back to School - Expanded
Tobias Moede - Coclass theory for nilpotent associative algebras
The coclass of a finite p-group of order p^n and class c is defined as n-c. Using coclass as the primary invariant in the investigation of finite p-groups turned out to be a very fruitful approach. Together with Bettina Eick, we have developed a coclass theory for nilpotent associative alg
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Science stories – Adaptability
Nothing in science is ever cut and dried as Professor Ros Rickaby, University of Oxford, talks to Professor Simon Conway-Morris FRS about how Earth’s changing chemistry has affected evolution, but can sometimes lead to evolutionary convergence. This film is part of a series of Science sto
From playlist Celebrating 350 years of science publishing
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 3
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Abstract Algebra | Quotient Groups
We introduce the notion of a quotient group and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans
From playlist Math talks
The Legendary John Conway (1937-2020) - Numberphile Podcast
We pay tribute to John Horton Conway - with clips from the man himself, plus contributions from Siobhan Roberts, David Eisenbud, Colm Mulcahy and Tony Padilla. Genius at Play by Siobhan Roberts - https://amzn.to/34ExQ4I John Conway Numberphile Playlist - https://www.youtube.com/playlist?
From playlist The Numberphile Podcast
Remembering John Conway - Part 1
Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories
From playlist Tributes & Commemorations
In this first video on cosets, I show you the equivalence relation on a group, G, that will turn out to create equivalence classes, which are actually cosets. We will prove later that these equivalence classes created by an element in the group, G, are equal to the set of element made up
From playlist Abstract algebra