Louis Theran: Rigidity of Random Graphs in Higher Dimensions
I will discuss rigidity properties of binomial random graphs G(n,p(n)) in fixed dimension d and some related problems in low-rank matrix completion. The threshold for rigidity is p(n) = Θ(log n / n), which is within a multiplicative constant of optimal. This talk is based on joint work wi
From playlist HIM Lectures 2015
Math 101 091517 Introduction to Analysis 07 Consequences of Completeness
Least upper bound axiom implies a "greatest lower bound 'axiom'": that any set bounded below has a greatest lower bound. Archimedean Property of R.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Strong minimality for Painleve equations and Fuchsian equations Strong minimality is a central notion in model theory which has an interpretation in differential algebra as a functional transcendence statement. We will talk about some new proofs of strong minimality for differential equat
From playlist DART X
Physics - Mechanics: Ch 17 Tension and Weight (1 of 11) What is Tension?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is tension and how to calculate tension using the free-body diagram. Next video in this series can be seen at: https://youtu.be/BxUhaktD8PA
From playlist PHYSICS MECHANICS 1: INTRO, VECTORS, MOTION, PROJECTILE MOTION, NEWTON'S LAWS
On Moebius and conformal maps between boundaries of CAT(-1) spaces by Kingshook Biswas
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Maximum modulus principle In this video, I talk about the maximum modulus principle, which says that the maximum of the modulus of a complex function is attained on the boundary. I also show that the same thing is true for the real and imaginary parts, and finally I discuss the strong max
From playlist Complex Analysis
Topology, Geometry and Life in Three Dimensions - with Caroline Series
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Caroline Series
From playlist Mathematics
Fabrizio Catanese: New examples of rigid varieties and criteria for fibred surfaces [...]
Abstract: Given an algebraic variety defined by a set of equations, an upper bound for its dimension at one point is given by the dimension of the Zariski tangent space. The infinitesimal deformations of a variety X play a somehow similar role, they yield the Zariski tangent space at the
From playlist Algebraic and Complex Geometry
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 1
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 3
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
Nathan Dunfield, Lecture 2: A Tale of Two Norms
33rd Workshop in Geometric Topology, Colorado College, June 10, 2016
From playlist Nathan Dunfield: 33rd Workshop in Geometric Topology
In this video, the Flipping Physics team discusses the concept of mass and density by comparing the mass and density of steel and wood. The team first addresses the misconception that steel is always more massive than wood, explaining that the mass of an object cannot be determined without
From playlist Fluids
Complex hyperbolic representations of triangle groups by John Parker
SURFACE GROUP REPRESENTATIONS AND GEOMETRIC STRUCTURES DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 2
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
First order rigidity of high-rank arithmetic groups - Alexander Lubotzky
Arithmetic Groups Topic: First order rigidity of high-rank arithmetic groups Speaker: Alexander Lubotzky Affiliation: Hebrew University of Jerusalem; Visiting Professor, School of Mathematics Date: October 6, 2021 The family of high-rank arithmetic groups is a class of groups playing an
From playlist Mathematics
First order rigidity of high-rank arithmetic groups - A. Lubotzky - Workshop 1 - CEB T1 2018
Alex Lubotzky (Hebrew U.) / 29.01.2018 The family of high rank arithmetic groups is a class of groups playing an important role in various areas of mathematics. It includes SL(n, Z), for n +/= 2 , SL(n, Z[1/p]) for n +/= 1, their finite index subgroups and many more. A number of remarkab
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Alex Lubotzky: First order rigidity of high rank arithmetic groups
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: The family of high rank arithmetic groups is a class of groups playing an important role in various areas of mathematics. It includes SL(n,Z), for n greater than 2
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n
A minimal surface M in the round sphere S^n is critical for area, as well as for the Willmore bending energy W=∫∫(1+H^2)da. Willmore stability of M is equivalent to a gap between −2 and 0 in its area-Jacobi operator spectrum. We show the W-stability of M persists in all higher dimensional
From playlist Geometry
On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
Analysis Seminar Topic: On the long-term dynamics of nonlinear dispersive evolution equations Speaker: Wilhelm Schlag Affiliation: University of Chicago Visiting Professor, School of Mathematics Date: Febuary 14, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics