Lie algebras | Representation theory
In representation theory, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic. Jantzen filtrations were introduced by Jantzen. (Wikipedia).
Gravity Filtration and Vacuum Filtration
The first laboratory technique that we will learn together is a very simple one, filtration. This is how we separate a mixture of liquids and solids. There are two common ways a chemist will perform filtration, those being gravity filtration and vacuum filtration. These are very easy to un
From playlist Chemistry Laboratory Techniques
Separation techniques are important in chemistry, and they won't always be as easy as filtration. Sometimes we need to separate two compounds that are dissolved in the same solution. Often we can take advantage of a difference in solubility or reactivity to perform an extraction. This is w
From playlist Chemistry Laboratory Techniques
Huyên Pham - Randomization approach for stochastic control problems
Huyên Pham (Université Paris Diderot) We study optimal stochastic control problem for non-Markovian stochastic differential equations (SDEs) where the drift, diffusion coefficients, and gain functionals are path-dependent, and importantly we do not make any ellipticity assumption on the
From playlist Schlumberger workshop on Topics in Applied Probability
We just learned two separation techniques, so let's learn one more! Distillation separates compounds by virtue of their differing boiling points. If two liquids are miscible, we can't perform extraction, but if they have very different boiling points, we can heat the mixture to a temperatu
From playlist Chemistry Laboratory Techniques
Chemical Reactions (11 of 11) Stoichiometry: Grams to Liters of a Gas
Shows how to use stoichiometry to convert from grams of a substance to liters of a substance. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons
From playlist Chemical Reactions and Stoichiometry
Italian Models Showcase Beach Fashion of the ’50s (1959)| British Pathé
Check out these beautiful Italian models from the 1950s showcasing the beach fashions of the day with a little supernatural twist! License this Film: (FILM ID: 2736.24): https://www.britishpathe.com/video/beach-fashions/ This film was unused by British Pathé editors of the time and not
From playlist British Pathé Unissued
Chemical Reactions (3 of 11) Combustion Reactions, An Explanation
Describes the basics of combustion reactions, how to identify them, predict the products and balance the chemical equation. Three explosions are included, methane mamba, whoosh bottle and hydrogen gas balloon. A chemical reaction is a process that leads to the chemical change of one set o
From playlist Chemical Reactions and Stoichiometry
Diazonium Substitution - Sandmeyer Reactions (IOC 38)
In this episode, I go through the various substitution of diazonium salts to nitriles, thiols, halides, sulfonyl chlorides, hydrogen, phenols, and boranes. Variants of this reaction include the Balz-Schiemann reaction, as well as the Rosenmund-von Braun reaction. -----------------------
From playlist Organic Chemistry Lectures
In this video i am making fuming nitric acid using potassium nitrate and concentrated sulfuric acid. Support my channel: https://www.patreon.com/chemiolis
From playlist Chemistry for home-labs and self-production
Performing Column Chromatography
We just learned about thin layer chromatography, but a much more industrially relevant technique is column chromatography. This is how we will separate large quantities of compounds in a mixture by virtue of their differing polarities. It follows the same principles as TLC, but we are push
From playlist Chemistry Laboratory Techniques
Recrystallization and Melting Point Analysis
Now that we have covered some important separation techniques, let's take a look at a purification technique. Sometimes a chemical reaction will produce a solid, which can precipitate from solution. But these crystals typically contain impurities from solution that were trapped in the latt
From playlist Chemistry Laboratory Techniques
Michael Lesnick (2/23/2022): Stability of 2-Parameter Persistent Homology
We show that the standard stability results for union-of-balls, Čech, and Rips persistent homology have natural analogues in the 2-parameter setting, formulated in terms of the multicover bifiltration and Sheehy's subdivision bifiltrations. Our results imply that these bifiltrations are r
From playlist AATRN 2022
Infinite-Dimensional Geometric Invariant Theory and Gauged Gromov–Witten... by Dan Halpern-Leistner
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Robyn Brooks and Celia Hacker (6/24/20): Morse-based fibering of the rank invariant
Title: Morse-based fibering of the rank invariant Abstract: Given the success of single-parameter persistence in data analysis and the fact that some systems warrant analysis across multiple parameters, it is highly desirable to develop data analysis pipelines based on multi-parameter per
From playlist AATRN 2020
Microlocal sheaves III: Regular singularities and Riemann-Hilbert - Michael McBreen
SL2 Seminar Topic: Microlocal sheaves III: Regular singularities and Riemann-Hilbert Speaker: Michael McBreen Affiliation: Chinese University of Hong Kong Date: March 23, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
NEW TOPOLOGICAL LAYER in Graph Neural Networks (GCN), Filtrations, Persistent Homology - ICLR 2022
NEW: integrate a topological layer as one of the Graph Convolutional Network (GCN) layer in to your GCN to obtain essential topological info about the Graph. Persistent Homology, Learnable Filtrations and Topology. Topological Data Analysis (TDA). Although this method is limited to l=1, c
From playlist Learn Graph Neural Networks: code, examples and theory
Spectral Sequences 01: How to read them.
How to read a spectral sequence.
From playlist Spectral Sequences
Beyond geometric invariant theory 1: Harder-Narasimhan theory by Daniel Halpern-Leistner
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
Chemical Reactions (4 of 11) Decomposition Reactions, An Explanation
Describes the basics of decomposition reactions, how to identify them, predict the products and balance the chemical equation. Two examples are also shown, decomposition of sugar and hydrogen peroxide. A chemical reaction is a process that leads to the chemical change of one set of chemic
From playlist Chemical Reactions and Stoichiometry