Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 03) by Misha Verbitsky
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
Curvature for the general parabola | Differential Geometry 13 | NJ Wildberger
We now extend the discussion of curvature to a general parabola, not necessarily one of the form y=x^2. This involves first of all understanding that a parabola is defined projectively as a conic which is tangent to the line at infinity. We find the general projective 3x3 matrix for suc
From playlist Differential Geometry
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
On a quadratic plane by S. M. Bhatwadekar
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Eric Riedl: A Grassmannian technique and the Kobayashi Conjecture
Abstract: An entire curve on a complex variety is a holomorphic map from the complex numbers to the variety. We discuss two well-known conjectures on entire curves on very general high-degree hypersurfaces X in ℙn: the Green-Griffiths-Lang Conjecture, which says that the entire curves lie
From playlist Algebraic and Complex Geometry
F. Polizzi - Classification of surfaces via Mori theory (Part 4)
Abstract - We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Hsueh-Yung Lin: On the existence of algebraic approximations of compact Kähler manifolds
Abstract: Let X be a compact Kähler manifold. The so-called Kodaira problem asks whether X has arbitrarily small deformations to some projective varieties. While Kodaira proved that such deformations always exist for surfaces. Starting from dimension 4, there are examples constructed by Vo
From playlist Analysis and its Applications
Entropy, Algebraic Integers and Moduli of Surfaces - Curtis McMullen
Curtis McMullen Harvard University December 7, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
Ariyan Javanpeykar: Arithmetic and algebraic hyperbolicity
Abstract: The Green-Griffiths-Lang-Vojta conjectures relate the hyperbolicity of an algebraic variety to the finiteness of sets of “rational points”. For instance, it suggests a striking answer to the fundamental question “Why do some polynomial equations with integer coefficients have onl
From playlist Algebraic and Complex Geometry
Commutative algebra 1 (Introduction)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. https://link.springer.com/book/10.1007/978-1-4612-5350-1 This is a short introductory lecture, and gives a few examples of the
From playlist Commutative algebra
Larry Guth (MIT) - Introduction to decoupling [Clay Research Conference 2017]
Notes for this talk: https://drive.google.com/file/d/10bItLSjqL5dxYzuWxPifK5ossK7fjk5r/view?usp=sharing Larry Guth (MIT) Introduction to decoupling Wednesday, September 27 – Clay Research Conference Larry Guth is Professor of Mathematics at MIT. He obtained his PhD from MIT in 2005 u
From playlist Number Theory
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 02) by Misha Verbitsky
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
Yuval Peres: Self-interacting walks and uniform spanning forests
Abstract: In the first half of the talk, I will survey results and open problems on transience of self-interacting martingales. In particular, I will describe joint works with S. Popov, P. Sousi, R. Eldan and F. Nazarov on the tradeoff between the ambient dimension and the number of differ
From playlist Probability and Statistics
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger
This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We talk about the 17th century's fa
From playlist Differential Geometry
Frobenius exact symmetric tensor categories - Pavel Etingof
Geometric and Modular Representation Theory Seminar Topic: Frobenius exact symmetric tensor categories Speaker: Pavel Etingof Affiliation: Massachusetts Institute of Technology Date: May 12, 2021 For more video please visit https://www.ias.edu/video
From playlist Seminar on Geometric and Modular Representation Theory
Adam Savage Reviews the Spacesuits of MOONFALL!
#Moonfall – Now playing in theaters and IMAX. Get your tickets now: https://tickets.moonfall.movie/ Adam geeks out over a pair of spacesuits created for the new film Moonfall! In this special unboxing, Adam examines the construction and design of these hero spacesuits to deduce their NASA
From playlist Inside Adam's Cave
The differential calculus for curves (II) | Differential Geometry 8 | NJ Wildberger
In this video we extend Lagrange's approach to the differential calculus to the case of algebraic curves. This means we can study tangent lines, tangent conics and so on to a general curve of the form p(x,y)=0; this includes the situation y=f(x) as a special case. It also allows us to deal
From playlist Differential Geometry