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数学及其应用
https://youtu.be/3jksqrYuvuk
YouTube
An introduction to Invariant Theory - Harm Derksen
Optimization, Complexity and Invariant Theory
Topic: An introduction to Invariant Theory
Speaker: Harm Derksen
Affiliation: University of Michigan
Date: June 4, 2018
For more videos, please visit http://video.ias.edu
数学及其应用
https://youtu.be/HhTGyDuNI_w
YouTube
A gentle introduction to group representation theory -Peter Buergisser
Optimization, Complexity and Invariant Theory
Topic: A gentle introduction to group representation theory
Speaker: Peter Buergisser
Affiliation: Technical University of Berlin
Date: June 4, 2018
For more videos, please visit http://video.ias.edu
数学及其应用
https://en.m.wikipedia.org/wiki/Quotient_ring
Wikipedia
Quotient ring
construction in abstract algebra
数学及其应用
https://nap.nationalacademies.org/resource/other/deps/illustrating-math/interactive/
数学及其应用
https://kerodon.net/
kerodon.net
An online resource for homotopy-coherent mathematics
数学及其应用
https://en.m.wikipedia.org/wiki/Stone%E2%80%93%C4%8Cech_compactification
Wikipedia
Stone–Čech compactification
a universal map from a topological space X to a compact Hausdorff space βX, such that any map from X to a compact Hausdorff space factors through βX uniquely; if X is Tychonoff, then X is a dense subspace of βX
数学及其应用
https://www.youtube.com/watch?v=4CBFUojXoq4
YouTube
Andrej Bauer: "The countable reals"
Topos Institute Colloquium, 12th of May 2022.
———
Joint work with James E. Hanson from the University of Maryland, https://james-hanson.github.io.
In 1874 Georg Cantor published a theorem stating that every sequence of reals is avoided by some real, thereby…
数学及其应用
https://youtu.be/XSAZ9OQ6uAM
YouTube
Existence of infinitely many minimal hypersurfaces in closed manifolds - Antoine Song
Variational Methods in Geometry Seminar
Topic: Existence of infinitely many minimal hypersurfaces in closed manifolds
Speaker: Antoine Song
Affiliation: Princeton University
Date: October 23, 2018
For more video please visit http://video.ias.edu
数学及其应用
https://math.stackexchange.com/questions/359693/overview-of-basic-results-about-images-and-preimages
Mathematics Stack Exchange
Overview of basic results about images and preimages
Are there some good overviews of basic facts about images and inverse images of sets under functions?
数学及其应用
https://math.libretexts.org/
Mathematics LibreTexts
Home
The LibreTexts libraries collectively are a multi-institutional collaborative venture to develop the next generation of open-access texts to improve postsecondary education.
数学及其应用
https://youtu.be/B9MslQ70ulk
YouTube
How does the rank of an elliptic curve grow in towers of number fields? - Florian Sprung
Joint IAS/Princeton University Number Theory Seminar
Topic: How does the rank of an elliptic curve grow in towers of number fields?
Speaker: Florian Sprung
Affiliation: Arizona State University
Date: April 18, 2019
For more video please visit http://video.ias.edu
数学及其应用
https://youtu.be/ba_hon70qbg
YouTube
Category theory: a framework for reasoning
Help me keep making videos: http://paypal.me/mlbakermath
Class field theory seminar
2015-01-31
MC 5403
Speaker: Michael Baker
Video courtesy of Amanda Chan
http://csc.uwaterloo.ca/~mlbaker/w15
数学及其应用
https://www.nature.com/articles/d41586-023-00833-4
Nature
Abel Prize: pioneer of ‘smooth’ physics wins top maths award
Nature - Luis Caffarelli’s work includes equations underpinning physical phenomena, such as melting ice and flowing liquids.
数学及其应用
https://youtu.be/Dwk-cMqrcq0
YouTube
Inspiring Generations: Alice Chang
Hear Professor Sun-Yung Alice Chang share her story and the importance of community and encouraging young women to pursue studies in mathematics and other sc...
数学及其应用
https://youtu.be/cYWAsCqR61U
YouTube
Geometric PDE - Issues in Homogenization for Problems with Nondivergence... - Part I - Caffarelli
Luis CaffarelliInstitute for Advanced StudyJanuary 15, 2009For more videos, visit http://video.ias.edu
数学及其应用
https://www.bbc.co.uk/sounds/play/m001jc68
BBC
In Our Time - Paul Erdős - BBC Sounds
Melvyn Bragg and guests discuss the life and work of the prolific Hungarian mathematician.
数学及其应用
https://en.m.wikipedia.org/wiki/Yoneda_lemma
Wikipedia
Yoneda lemma
In mathematics, the Yoneda lemma is a fundamental result in category theory. It is an abstract result on functors of the type morphisms into a fixed object. It is a vast generalisation of Cayley's theorem from group theory (viewing a group as a miniature…
数学及其应用
https://www.nytimes.com/2023/02/07/science/puzzles-rectangles-mathematics.html
NY Times
The Quest to Find Rectangles in a Square
A puzzle posted in an online community unlocked a wormhole within the basic shape.
数学及其应用
https://youtu.be/rWc6qrfSWe4
YouTube
Escola de Altos Estudos: Free Boundary Problems - Luis Caffarelli - Class 1
Escola de Altos Estudos: Free Boundary Problems
Prof. Luis Caffarelli (Texas - Austin)
Página:
http://www.impa.br/opencms/pt/ensino/escola_altos_estudos/2015/Luis_Angel_Caffarelli/free_boundary_problems.html
Download dos vídeos:
http://video.impa.br/i…
数学及其应用
https://terrytao.wordpress.com/2023/04/04/elias-m-stein-prize-for-new-perspectives-in-analysis/
What's new
Elias M. Stein Prize for New Perspectives in Analysis
The Elias M. Stein Prize for New Perspectives in Analysis is awarded for the development of groundbreaking methods in analysis which demonstrate promise to revitalize established areas or create ne…
2025/07/09 11:13:32
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