The Weil Conjectures, from Abel to Deligne - Sophie Morel
The Weil Conjectures, from Abel to Deligne Sophie Morel Princeton University October 14, 2013.
Institute for Advanced Study
Fundamentals of Projective Geometry, Basic Objects FRP1
SEE IF YOU CAN DO THE EXERCISES WRITTEN @ BOTTOM * We begin this more rigorous treatment of projective geometry by defining the basic objects ...
Richard Southwell
Pathwise Connected Spaces - Chapter3videoLec-13
Topology by Prof. P. Veeramani, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.ac.in.
nptelhrd
Complex Numbers, but Different - Vectorspace Isomorphisms and the ℝ² [ Episode 5 ]
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy ...
Flammable Maths
Teena Gerhardt - 1/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological ...
Institut des Hautes Études Scientifiques (IHÉS)
Perfectoid spaces - Peter Scholze
Peter Scholze University of Bonn March 22, 2011 For more videos, visit http://video.ias.edu.
Institute for Advanced Study
Daniel T. Wise - 1/6 CAT(o) Cube Complexes
Institut des Hautes Études Scientifiques (IHÉS)
Hodge theory and cycle theory of locally symmetric spaces – Nicolas Bergeron – ICM2018
Geometry Invited Lecture 5.1 Hodge theory and cycle theory of locally symmetric spaces Nicolas Bergeron Abstract: We discuss several results pertaining to the ...
Rio ICM2018
Macaulay 2 Tutorial I
Michael Stillman, Cornell University Symbolic and Numerical Methods for Tensors and Representation Theory ...
Simons Institute
Delta complexes, Betti numbers and torsion | Algebraic Topology | NJ Wildberger
We continue our investigation of homology by computing the homology groups of a torus. For this we use the framework of delta-complexes, a somewhat ...
Insights into Mathematics
Maxim Kontsevich - Resurgence through Path Integrals
I will review the approach to the resurgence phenomenon via integration overrapid decay cycles (Lefschetz thimbles) in path integrals. Examples include WKB ...
Institut des Hautes Études Scientifiques (IHÉS)
Jack Thorne - The Ramanujan conjecture for Bianchi modular forms of weight 2
Let K be an imaginary quadratic field. Conjecturally, one should be able to associate to any cusp form on GL_n(A_K) which is cohomological (for the trivial ...
Institut des Hautes Études Scientifiques (IHÉS)
Group theory | Math History | NJ Wildberger
Here we give an introduction to the historical development of group theory, hopefully accessible even to those who have not studied group theory before, ...
Insights into Mathematics
Mikhail Gromov - 1/4 Old, New and Unknown around Scalar Curvature
Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity ...
Institut des Hautes Études Scientifiques (IHÉS)
Maxim Kontsevich - 1/4 Bridgeland Stability over Non-Archimedean Fields
Bridgeland stability structure/condition on a triangulated category is a vast generalization of the notion of an ample line bunlde (or polarization) in algebraic ...
Institut des Hautes Études Scientifiques (IHÉS)
Sheaves on K3 surfaces: moduli spaces, Lagrangian fibrations, and their singularities - Giulia Saccà
Giulia Saccà Member, School of Mathematics October 1, 2014 More videos on http://video.ias.edu.
Institute for Advanced Study
The most fundamental and important problem in mathematics | Famous Math Problems 19a | NJ Wildberger
There is one mathematical problem which is much more important and fundamental, both historically and practically, than any other, and which impinges on ...
Insights into Mathematics
Mikhail Gromov - The Abel Laureate Lecture
This lecture was given by the 2009 Abel Laurate Mikhail Leonidovich Gromov at The University of Oslo, May 20, 2009 and was part of the Abel Prize Lectures in ...
The Abel Prize
Some elementary remarks about close complex manifolds - Dennis Sullivan
Event: Women and Mathmatics Speaker: Dennis Sullivan Affiliation: SUNY Topic: Some elementary remarks about close complex manifolds Date: Friday 13, ...
Institute for Advanced Study
John Milnor: Spheres
Winner of the 2011 Abel Prize for mathematics John Milnor presented an historical account of work on topological and differential spheres in a special ...
Stony Brook University
Michael Sorkin on Developing Urban Autonomy
Architectural critic and urban designer Michael Sorkin speaks on how the idea of urban autonomy permeates his projects, from a fantastical city of Weed, Arizona ...
reSITE
Real Lagrangian Tori in toric symplectic manifolds - Joé Brendel
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Real Lagrangian Tori in toric symplectic manifolds Speaker:Joé Brendel Affiliation: University of ...
Institute for Advanced Study
JuliaCon 2019 | Geometric algebra in Julia with Grassmann.jl | Michael Reed
The Grassmann.jl package provides tools for doing computations based on multi-linear algebra, differential geometry, and spin groups using the extended ...
The Julia Programming Language
Laura Schaposnik An introduction to Higgs bundles Part 2
Illinois Dept. of Math
Maxim Kontsevich - 2/4 Bridgeland Stability over Non-Archimedean Fields
Bridgeland stability structure/condition on a triangulated category is a vast generalization of the notion of an ample line bunlde (or polarization) in algebraic ...
Institut des Hautes Études Scientifiques (IHÉS)
A Beautiful Question | Frank Wilczek | Talks at Google
Nobel laureate Frank Wilczek visited Google's office in Cambridge, MA to discuss his book, "A Beautiful Question: Finding Nature's Deep Design".
Talks at Google
International Conference on Poisson Geometry - Marco Gualtieri - Quantization of generalized...
Speaker: Marco Gualtieri (Toronto) - Quantization of generalized Kähler manifolds Videos playlist: http://bit.ly/2Dx85X6 Homepage: http://bit.ly/2R5TD08 The ...
Instituto de Matemática Pura e Aplicada
Affine geometry and barycentric coordinates | WildTrig: Intro to Rational Trigonometry
Affine geometry is the geometry of parallel lines. Using parallelism, we show how to construct a ruled line, how to find the midpoint of a segment, and divide a ...
Insights into Mathematics
Emmy Noether: breathtaking mathematics - Georgia Benkart
Celebrating Emmy Noether Topic: Emmy Noether: breathtaking mathematics Speaker: Georgia Benkart Affiliation: University of Wisconsin-Madison Date: Friday, ...
Institute for Advanced Study
Geometry of projective space
Jon Hanke (University of Georgia) — April 4, 2012.
UConn Mathematics
Discussions in Architecture: Stan Allen with Preston Scott Cohen
Stan Allen, Dean of Princeton University School of Architecture and Principal of SAA/Stan Allen Architect, in conversation with Preston Scott Cohen, Chair of the ...
Harvard GSD
An invitation to higher Teichmüller theory – Anna Wienhard – ICM2018
Geometry Invited Lecture 5.11 An invitation to higher Teichmüller theory Anna Wienhard Abstract: Riemann surfaces are of fundamental importance in many ...
Rio ICM2018
On the conjecture of Birch and Swinnerton-Dyer - B. Gross - 2/22/2019
caltech
Anders Kock. Synthetic differential geometry - new methods for old spaces
Synthetic differential geometry - New methods for old spaces by Anders Kock (Dept. Of Mathematical Sciences, Aarhus University). September 28, 2015 11:15 ...
ERC PhiloQuantumGravity
Polynomials and sequence spaces | Wild Linear Algebra A 22 | NJ Wildberger
Polynomials can be interpreted as functions, and also as sequences. In this lecture we move to considering sequences. Aside from the familiar powers, we ...
Insights into Mathematics
Motivic correlators and locally symmetric spaces - Alexander Goncharov
Locally Symmetric Spaces Seminar Topic: Motivic correlators and locally symmetric spaces Speaker: Alexander Goncharov Affiliation: Yale University; Member, ...
Institute for Advanced Study
An introduction to abstract algebra | Abstract Algebra Math Foundations 213 | NJ Wildberger
How do we set up abstract algebra? In other words, how do we define basic algebraic objects such as groups, rings, fields, vector spaces, algebras, lattices, ...
Insights into Mathematics
Omar Khayyam and the Binomial Theorem | Famous Math Problems 5 | NJ Wildberger
Today's famous problem is how to expand a power of a binomial, in modern terms how to write out explicitly (a+b)^n when n is a natural number, n=1,2,3,.... This ...
Insights into Mathematics
Differential Geometry - Claudio Arezzo - Lecture 19
ICTP Mathematics
Topological Homeomorphisms Part 1
In this video we look at what it means for two topological spaces to be homeomorphic.
Eliott724
JDG 2017: Artan Sheshmani: Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten
This talk was given on Tuesday, May 2, 2017.
Harvard Math
Topology: The Shapes of Space and the Spaces of Shapes
Mathematics is patterns and logic, imagination and rigor. It is a way of seeing and a way of thinking. Math Mornings is a series of public lectures aimed at ...
YaleUniversity