The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
How to write an algebraic proof
š Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will
From playlist Parallel Lines and a Transversal
Field Theory: We consider the property of algebraic in terms of finite degree, and we define algebraic numbers as those complex numbers that are algebraic over the rationals. Then we give an overview of algebraic numbers with examples.
From playlist Abstract Algebra
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Learning to write an algebraic proof
š Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will
From playlist Parallel Lines and a Transversal
Field Theory - Algebraically Closed Fields (part 2) - Lecture 10
In this video we should that algebraically closed fields exist and are unique. We assume that the direct limit construction works. The construction here depends on the axiom of choice.
From playlist Field Theory
A crash course in Algebraic Number Theory
A quick proof of the Prime Ideal Theorem (algebraic analog of the Prime Number Theorem) is presented. In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime idea
From playlist Number Theory
Fundamental Theorem of Algebra
In this video, I prove the Fundamental Theorem of Algebra, which says that any polynomial must have at least one complex root. The beauty of this proof is that it doesnāt use any algebra at all, but instead complex analysis, more specifically Liouvilleās Theorem. Enjoy!
From playlist Complex Analysis
In this video, we give an important motivation for studying Topological Cyclic Homology, so called "trace methods". Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://w
From playlist Topological Cyclic Homology
Rufus Willett: Decomposable C*-algebras and the UCT
Talk by Rufus Willett in in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/tba-25/ on March 11, 2022.
From playlist Global Noncommutative Geometry Seminar (Americas)
Nigel Higson: The Oka principle and Novodvorskiiās theorem
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on November 11, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Haldun ĆzgĆ¼r Bayindir : Adjoining roots to ring spectra and algebraic š¾-theory
CONFERENCE Recording during the thematic meeting : Ā« Chromatic Homotopy, K-Theory and FunctorsĀ» the January 24, 2023 at the Centre International de Rencontres MathĆ©matiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Gus Lonergan: Geometric Satake over KU
SMRI Algebra and Geometry Online: Gus Lonergan (A Priori Investment Management LLC) Abstract: We describe a K-theoretic version of the equivariant constructible derived category. We state (with evidence!) a āgeometric Satakeā conjecture relating its value on the affine Grassmannian to re
From playlist SMRI Algebra and Geometry Online
Paolo Piazza: Proper actions of Lie groups and numeric invariants of Dirac operators
HYBRID EVENT shall explain how to define and investigate primary and secondary invariants of G-invariant Dirac operators on a cocompact G-proper manifold, with G a connected real reductive Lie group. This involves cyclic cohomology and Ktheory. After treating the case of cyclic cocycles a
From playlist Lie Theory and Generalizations
Duality In Higher Categories IV by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Emmy Noether: breathtaking mathematics - Georgia Benkart
Celebrating Emmy Noether Topic: Emmy Noether: breathtaking mathematics Speaker: Georgia Benkart Affiliation: University of Wisconsin-Madison Date: Friday, May 6 By the mid 1920s, Emmy Noether had made fundamental contributions to commutative algebra and to the theory of invariants.
From playlist Celebrating Emmy Noether
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
Number Theory - Fundamental Theorem of Arithmetic
Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.
From playlist Proofs
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 4
Mini course of the conference YMC*A, August 2021, University of MĆ¼nster. Abstract: A conjecture of George Elliott dating back to the early 1990ās asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021