Constant sheaf

Max is continuous

In this video, I show a really neat result, namely that the maximum of two continuous functions is continuous. Enjoy the epsilon-delta extravaganza! Continuity Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB86yhDeAUZPY0dktFtb8Tj Subscribe to my channel: https://youtube.com/d

From playlist Limits and Continuity

f+g is continuous

In this video I give a very straightforward proof that the sum f+g of continuous functions is continuous, both with the epsilon-delta definition and the sequence definition. I also show that any scalar multiple kf of a continuous function is continous. This implies that the set of continuo

From playlist Limits and Continuity

The Euler Mascheroni Constant

I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is

From playlist Series

The Constant of Integration is ALWAYS Zero

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Constant of Integration is ALWAYS Zero

From playlist Math Magic

Maximum and Minimum

Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh

From playlist Real Numbers

The Constant Rule For Derivatives

This calculus video tutorial provides a basic introduction into the constant rule for derivatives. It contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to

From playlist New Calculus Video Playlist

Derivative of a constant function

Derivative of a constant function in simple steps.

From playlist Derivatives

What is the multiplicity of a zero?

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Joel Friedman - Sheaves on Graphs, L^2 Betti Numbers, and Applications.

Joel Friedman (University of British Columbia, Canada) Sheaf theory and (co)homology, in the generality developed by Grothendieck et al., seems to hold great promise for applications in discrete mathematics. We shall describe sheaves on graphs and their applications to (1) solving the

From playlist T1-2014 : Random walks and asymptopic geometry of groups.

From Cohomology to Derived Functors by Suresh Nayak

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)

Schemes 3: exactness and sheaves

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In it we discuss exactness of morphisms of sheaves over a topological space.

From playlist Algebraic geometry II: Schemes

f/g is continuous

Here I show that the ratio of two continuous functions is continuous. I do it both by using epsilon-delta and the sequence definition of continuity. Interestingly, the proof is similar to the proof of the quotient rule for derivatives. Enjoy! Reciprocals of limits: https://youtu.be/eRs84C

From playlist Limits and Continuity

Georg Biedermann - Higher Sheaves

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Joint work with Mathieu Anel, Eric Finster, and André Joyal Even though on the surface the theories look similar, there are basic differences between the classical theory of 1-t

From playlist Toposes online

Jason Parker - Covariant Isotropy of Grothendieck Toposes

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/ParkerSlidesToposesOnline.pdf Covariant isotropy can be regarded as providing an abstract notion of conjugation or i

From playlist Toposes online

Étale cohomology - 10/22/2020

Finiteness, Z_l-sheaves

From playlist Étale cohomology and the Weil conjectures

Dennis Gaitsgory - Tamagawa Numbers and Nonabelian Poincare Duality, II [2013]

Dennis Gaitsgory Wednesday, August 28 4:30PM Tamagawa Numbers and Nonabelian Poincare Duality, II Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: This will be a continuation of Jacob Lurie’s talk. Let X be an al

From playlist Number Theory

Marc Levine: The rational motivic sphere spectrum and motivic Serre finiteness

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 SPECIAL 7th European congress of Mathematics Berlin 2016.

Schemes 38: Comparison of Cartier divisors and Pic

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we Define a homomorphism from Caritier divisor classes to the Picard group, and show that it is an isomorphism for integral schemes. We use thi

From playlist Algebraic geometry II: Schemes

What is a continuous extension?

Continuous Extension In this video, I define the concept of a continuous extension of a function and show that a function has a continuous extension if and only if it is uniformly continuous. This explains yet again why uniform continuity is so awesome Uniform Continuity: https://youtu.b

From playlist Limits and Continuity

Robert Ghrist (5/1/21): Laplacians and Network Sheaves

This talk will begin with a simple introduction to cellular sheaves as a generalized notion of a network of algebraic objects. With a little bit of geometry, one can often define a Laplacian for such sheaves. The resulting Hodge theory relates the geometry of the Laplacian to the algebraic

From playlist TDA: Tutte Institute & Western University - 2021