Fourier analysis | Generalized functions | Microlocal analysis
In mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes generalized functions, pseudo-differential operators, wave front sets, Fourier integral operators, oscillatory integral operators, and . The term microlocal implies localisation not only with respect to location in the space, but also with respect to cotangent space directions at a given point. This gains in importance on manifolds of dimension greater than one. (Wikipedia).
I'm putting this here for a talk I'm giving next week. It is how we pump our nanoparticle samples for optical measurements. I'm sure I could write a fluids problem about it!
From playlist Off Topic
Gene Expression Analysis and DNA Microarray Assays
If we want to understand a biological organism, we turn to the expression of its genome. Which genes are being expressed, and in which cells, and when? How does this differ between a normal cell and a cancer cell? We have incredibly sophisticated techniques to investigate these questions,
From playlist Biology/Genetics
MicroPython – Python for Microcontrollers
MicroPython is a lean and efficient implementation of the Python 3 programming language that includes a small subset of the Python standard library and is optimised to run on microcontrollers and in constrained environments. This talk will give an overview about the MicroPython. EVENT: m
From playlist IoT
Defining Microservices | SHORTS
What are microservices? What is microservice architecture for and why are they more complex than they look on the surface? In this #shorts episode, Dave Farley give his definition of microservices. For a fuller exploration of Microservices, see Dave's video "The Problem with Microservices
From playlist Microservices
Databases in the Microservices World
Web technologies have come leaps and bounds. But are you still using the tired old database from last generation? Let’s look at the methodology of microservices, compare it to bounded contexts, and look at ops tasks for micro-databases. Let’s tour all the flavors of databases, understand t
From playlist Microservices
The Problem With Microservices
Microservices are one of the most popular modern architectural approaches, but they are much more complicated to do well than most organisations think. So what is Microservices Architecture, what is it for, what are Microservices and why are they a lot more complex than they look on the su
From playlist Software Engineering
Andras Vasy - Microlocal analysis and wave propagation (Part 1)
In these lectures I will explain the basics of microlocal analysis, emphasizing non-elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential,
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Andras Vasy - Microlocal analysis and wave propagation (Part 4)
In these lectures I will explain the basics of microlocal analysis, emphasizing non-elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential,
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
How Well Designed Is Your Microservice?
Microservices are not what a lot of people think they are, so what are microservices? There are some defining characteristics of microservices that liberate the approach, but which also add some serious challenges to their adoption and use. Designing microservices is not a simple task: whe
From playlist Software Engineering
Andras Vasy: Microlocal analysis for Kerr-de Sitter black holes
Abstract: In this lecture I will describe a framework for the Fredholm analysis of non-elliptic problems both on manifolds without boundary and manifolds with boundary, with a view towards wave propagation on Kerr-de-Sitter spaces, which is the key analytic ingredient for showing the stabi
From playlist Mathematical Physics
Andras Vasy - Microlocal analysis and wave propagation (Part 2)
In these lectures I will explain the basics of microlocal analysis, emphasizing non-elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential,
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
A Microlocal Invitation to Lagrangian Fillings - Roger Casals
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: A Microlocal Invitation to Lagrangian Fillings Speaker: Roger Casals Affiliation: University of California Davis Date: November 11, 2022 We present recent developments in symplectic geometry and explain how t
From playlist Mathematics
Paul Nelson (Zurich): The orbit method, microlocal analysis and applications to L-functions
I will describe how the orbit method can be developed in a quantitative form, along the lines of microlocal analysis, and applied to local problems in representation theory and global problems concerning automorphic forms. The local applications include asymptotic expansions of relative ch
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
Semyon Dyatlov: A microlocal toolbox for hyperbolic dynamics
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 Geometry
Klaus Fredenhagen - Quantum Field Theory and Gravitation
The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful
From playlist Trimestre: Le Monde Quantique - Colloque de clôture
Microlocal sheaves on certain affine Springer fibers - Zhiwei Yun
Geometric and Modular Representation Theory Seminar Topic: Microlocal sheaves on certain affine Springer fibers Speaker: Zhiwei Yun Affiliation: Massachusetts Institute of Technology Date: April 14, 2021 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
What Are Microservices Really All About? (And When Not To Use It)
Weekly system design newsletter: https://bit.ly/3tfAlYD Checkout our bestselling System Design Interview books: Volume 1: https://amzn.to/3Ou7gkd Volume 2: https://amzn.to/3HqGozy ABOUT US: Covering topics and trends in large-scale system design, from the authors of the best-selling Sy
From playlist Computer Science Fundamentals
Mathematical integration without calculus
I show how to convert an area measurement problem into a mass measurement problem that is easier to solve. In general, this idea of converting measurement problems into different spaces is very powerful, and may prove useful in the future.
From playlist Electronics
What are microservices and why would you use them?
Sam Newman introduces you to microservices and explains what you will learn in this course.More details about the course, as well as more free lessons, can be found at http://oreil.ly/29VkkMJ
From playlist Microservices
Maciej Zworski - From redshift effect to classical dynamics : microlocal proof of Smale's conjecture
Dynamical zeta functions of Selberg, Smale and Ruelle are analogous to the Riemann zeta function with the product over primes replaced by products over closed orbits of Anosov flows. In 1967 Smale conjectured that these zeta functions should be meromorphic but admitted "that a positive ans
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale