Additive categories | Theorems in algebra | Module theory
Mitchell's embedding theorem, also known as the Freyd–Mitchell theorem or the full embedding theorem, is a result about abelian categories; it essentially states that these categories, while rather abstractly defined, are in fact concrete categories of modules. This allows one to use element-wise diagram chasing proofs in these categories. The theorem is named after and Peter Freyd. (Wikipedia).
Daniel CRISTOFARO GARDINER - Symplectic embeddings of products
McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an “infinite staircase” determined by the odd-index Fibonacci numbers. We show that this
From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry
Symplectic Embeddings and Infinite Staircases - Nicole Magill
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Symplectic Embeddings and Infinite Staircases Speaker: Nicole Magill Affiliation: Cornell University Date: February 6, 2023 The four dimensional ellipsoid embedding function of a toric symplectic manifold M measures when a
From playlist Mathematics
Symplectic embeddings, integrable systems and billiards - Vinicius Ramos
Symplectic Dynamics/Geometry Seminar Topic: Symplectic embeddings, integrable systems and billiards Speaker: Vinicius Ramos Affiliation: Member, School of Mathematics Date: January 27, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Marianna Russkikh (MIT) -- Dimers and embeddings
One of the main questions in the context of the universality and conformal invariance of a critical 2D lattice model is to find an embedding which geometrically encodes the weights of the model and that admits "nice" discretizations of Laplace and Cauchy-Riemann operators. We establish a c
From playlist Northeastern Probability Seminar 2020
Jasna Urbančič (11/03/21):Optimizing Embedding using Persistence
Title: Optimizing Embedding using Persistence Abstract: We look to optimize Takens-type embeddings of a time series using persistent (co)homology. Such an embedding carries information about the topology and geometry of the dynamics of the time series. Assuming that the input time series
From playlist AATRN 2021
Graph Neural Networks, Session 6: DeepWalk and Node2Vec
What are Node Embeddings Overview of DeepWalk Overview of Node2vec
From playlist Graph Neural Networks (Hands-on)
Rasa Algorithm Whiteboard - Understanding Word Embeddings 1: Just Letters
We're making a few videos that highlight word embeddings. Before training word embeddings we figured it might help the intuition if we first trained some letter embeddings. It might suprise you but the idea with an embedding can also be demonstrated with letters as opposed to words. We're
From playlist Algorithm Whiteboard
Beata Randrianantoanina: On a difference between two methods of low-distortion embeddings of...
Abstract: In a recent paper, the speaker and M.I. Ostrovskii developed a new metric embedding method based on the theory of equal-signs-additive (ESA) sequences developed by Brunel and Sucheston in 1970’s. This method was used to construct bilipschitz embeddings of diamond and Laakso graph
From playlist Analysis and its Applications
Mirna Džamonja: Universal א2-Aronszajn trees
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Au
From playlist Logic and Foundations
Gabriel Goldberg: The Jackson analysis and the strongest hypotheses
HYBRID EVENT Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 13, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Logic and Foundations
Vic Reiner, Lecture II - 11 February 2015
Vic Reiner (University of Minnesota) - Lecture II http://www.crm.sns.it/course/4036/ Many results in the combinatorics and invariant theory of reflection groups have q-analogues for the finite general linear groups GLn(Fq). These lectures will discuss several examples, and open questions
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Counting Woodin cardinals in HOD
Distinguished Visitor Lecture Series Counting Woodin cardinals in HOD W. Hugh Woodin Harvard University, USA and University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
Justin Noel: Galois descent and redshift in algebraic K theory
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Justin Noel: Galois descent and redshift in algebraic K-theory Abstract: One of the fundamental results of Thomason states that the algebraic K-theory of discrete commutative rings
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Obsructions to Symplectic Embeddings
Speakers; C.Huangdai(Basic Background, Definitions, 4-D Symplectic manifold, , Symplectomorphisms and Symplectic Embeddings, Results). T.Coyne(What fits in what, Rigidity in Symplectic Geometry, Symplectic Capacities, Flexibility of Symplectic Embeddings, ECH Capacities, Polydisks into a
From playlist 2017 Summer REU Presentations
A new basis theorem for ∑13 sets
Distinguished Visitor Lecture Series A new basis theorem for ∑13 sets W. Hugh Woodin Harvard University, USA and University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF Prof
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
In this episode... David shares some Hello World videos, answers some of your questions, and reviews some posts from Facebook and Reddit. Rob Bowden interviews Dr. Henry Leitner who tells some stories of his times with Bill Gates and Mark Zuckerberg. There are 60 seconds of puppies. And
From playlist CS50 Live
OWASP AppSec 2010: (New) Object Capabilities and Isolation of Untrusted Web Applications 1/3
Clip 1/3 Speaker: Sergio Maffeis, Imperial College, London The object-capability model provides an appealing approach for isolating untrusted content in mashups: if untrusted applications are provided disjoint capabilities they still can interact with the user or the hosting page, but
From playlist OWASP AppSec 2010
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than
From playlist Physics
Word embeddings are one of the coolest things you can do with Machine Learning right now. Try the web app: https://embeddings.macheads101.com Word2vec paper: https://arxiv.org/abs/1301.3781 GloVe paper: https://nlp.stanford.edu/pubs/glove.pdf GloVe webpage: https://nlp.stanford.edu/proje
From playlist Machine Learning