Kummer surface

Alessandra Sarti: Topics on K3 surfaces - Lecture 2: Kummer surfaces

Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono

From playlist Algebraic and Complex Geometry

Hilbert Curve

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.

From playlist 3D printing

MATH331: Riemann Surfaces - part 1

We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.

From playlist The Riemann Sphere

Francesca Balestrieri, The arithmetic of zero-cycles on products of K3 surfaces and Kummer varieties

VaNTAGe seminar, March 9, 2021

From playlist Arithmetic of K3 Surfaces

Cylindrical Surfaces

This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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 areas of mathematics and theoretical physics. The study of the moduli space of Riemann surfaces of a fixed topological type is intimatel

From playlist Geometry

Bianca Viray, The Brauer group and the Brauer-Manin obstruction on K3 surfaces

VaNTAGe seminar, February 23, 2021

From playlist Arithmetic of K3 Surfaces

Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces

VaNTAGe Seminar, Feb 9, 2021

From playlist Arithmetic of K3 Surfaces

Inflatable | Jimmy Kuehnle

Ranging from absurd inflatable “suits,” to architectural augmentations, Jimmy Kuehnle’s inflated artworks engage his audiences with a playful sense of the unexpected. “I try to find the line between the spectacle and the absurd,” he says. “If I can make something that you can’t quite put i

From playlist Inflatable | Expanding Works of Art

3D Printing Objects With Caustics | Two Minute Papers #38

What are caustics? A caustic is a beautiful phenomenon in nature where curved surfaces reflect or refract light, thereby concentrating it to a relatively small area. This technique makes it possible to essentially imagine any kind of caustic pattern, for instance, this brain pattern, and i

From playlist 3D Printing / 3D Fabrication

Kugel

Ball made of a triangulated icosahedron with storms on it. Divergence free. Mixing of colors due to numerical diffusion. In fact I could use this for SmoothLife on a sphere.

From playlist Misc

Edgar Costa, From counting points to rational curves on K3 surfaces

VaNTAGe Seminar, Jan 26, 2021

From playlist Arithmetic of K3 Surfaces

Jean-Pierre Ramis - The Mano Decompositions...

The Mano Decompositions and the Space of Monodromy Data of the q-Painlevé V I Equation The talk is based upon a joint work with Y. OHYAMA and J. SAULOY. Classically the space of Monodromy data (or character variety) of PV I (the sixth Painlevé differential equation) is the space of linear

From playlist Resurgence in Mathematics and Physics

Gregory Sankaran: Moduli of deformation generalised Kummer varieties

Two of the four known types of compact hyperkahler manifolds arise from K3 surfaces and two from abelian surfaces. The moduli spaces of polarised varieties of the K3 types have been extensively studied, but less attention has been paid to the abelian types. I shall describe some work in pr

From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"

Alessandra Sarti: Topics on K3 surfaces - Lecture 1: K3 surfaces in the Enriques Kodaira...

Lecture 1: K3 surfaces in the Enriques Kodaira classification and examples Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex

From playlist Algebraic and Complex Geometry

Alessandra Sarti: Topics on K3 surfaces - Lecture 4: Nèron-Severi group and automorphisms

Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono

From playlist Algebraic and Complex Geometry

Anne TAORMINA - Mathieu Moonshine: Symmetry Surfing and Quarter BPS States at the Kummer Point

The elliptic genus of K3 surfaces encrypts an intriguing connection between the sporadic group Mathieu 24 and non-linear sigma models on K3, dubbed “Mathieu Moonshine”. By restricting to Kummer K3 surfaces, which may be constructed as Z2 orbifolds of complex 2-tori with blown up singularit

From playlist Integrability, Anomalies and Quantum Field Theory

Shapes and geometry of surfaces by Mahan Mj

WHEN: 4pm to 6pm Sunday, 26 November 2017 WHERE: J. N.Planetarium, Sri T. Chowdaiah Road, High Grounds, Bangalore Almost all shapes that we see around in space are examples of surfaces. We shall describe a method dating back to the 19th century of understanding these. Time-permitting, we

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)