Algebraic groups | Compactification (mathematics)

Wonderful compactification

In algebraic group theory, a wonderful compactification of a variety acted on by an algebraic group is a -equivariant compactification such that the closure of each orbit is smooth. Corrado de Concini and Claudio Procesi constructed a wonderful compactification of any symmetric variety given by a quotient of an algebraic group by the subgroup fixed by some involution of over the complex numbers, sometimes called the De Concini–Procesi compactification, and Elisabetta Strickland generalized this construction to arbitrary characteristic. In particular, by writing a group itself as a symmetric homogeneous space, (modulo the diagonal subgroup), this gives a wonderful compactification of the group itself. (Wikipedia).

Video thumbnail

Complex numbers are AWESOME

Why are complex numbers awesome? What are they and how are they useful? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Test your understanding via a short quiz http://goo.gl/forms/3T2ZqTfgrL Make learning "complex" numbers easy through an interactive, fun and

From playlist Intro to Complex Numbers

Video thumbnail

AWESOME Physics demonstrations. The collapsing can.

This is a fun introduction to atmospheric pressure.

From playlist PRESSURE

Video thumbnail

Graspable Math: Factoring Demo

Even when it comes to factoring, #GraspableMath comes in quite handy.! Shown here within the context of rational expressions: https://gmacts.com/teacher/activity-bank/public/634824a74b276e00142d3bfd

From playlist Graspable Math Ideas and How-To's

Video thumbnail

Awesome Turn on lighter (slow motion)!!!

Amazing Turn on lighter in slow motion!!!

From playlist THERMODYNAMICS

Video thumbnail

AWESOME INERTIA!!!

AWESOME INERTIA (slow motion)!!!

From playlist MECHANICS

Video thumbnail

Ana Balibanu: The partial compactification of the universal centralizer

Abstract: Let G be a semisimple algebraic group of adjoint type. The universal centralizer is the family of centralizers in G of regular elements in Lie(G), parametrized by their conjugacy classes. It has a natural symplectic structure, obtained by Hamiltonian reduction from the cotangent

From playlist Algebra

Video thumbnail

Draw Perfect Freehand Circles!

Super simple idea that allows you to draw a perfect freehand circle. Use it to win bets, or just impress your friends!

From playlist How to videos!

Video thumbnail

Thibaut Delcroix : Kähler-Einstein metrics on group compactifications

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

Video thumbnail

Parahoric Torsors and Degeneration of Moduli Spaces by Vikraman Balaji

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

Video thumbnail

Algebraic curves, tropical geometry, and moduli - Sam Payne

Sam Payne Yale University February 11, 2015 Tropical geometry gives a new approach to understanding old questions about algebraic curves and their moduli spaces, synthesizing techniques that range from Berkovich spaces to elementary combinatorics. I will discuss an outline of this method,

From playlist Mathematics

Video thumbnail

Action filtrations associated to smooth categorical compactifications - Laurent Côté

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Action filtrations associated to smooth categorical compactifications Speaker: Laurent Côté Date: July 09, 2021 There is notion of a smooth categorical compactification of dg/A-infinity categories: for example, a smoo

From playlist Mathematics

Video thumbnail

Mirko Mauri : The essential skeletons of pairs and the geometric P=W conjecture

The geometric P=W conjecture is a conjectural description of the asymptotic behavior of a celebrated correspondence in non-abelian Hodge theory. In particular, it is expected that the dual boundary complex of the compactification of character varieties is a sphere. In a joint work with Enr

From playlist Algebraic and Complex Geometry

Video thumbnail

SUSY for Strings and Branes, Part 2 - Katrin Becker

SUSY for Strings and Branes, Part 2 Katrin Becker Texas A&M University July 20, 2010

From playlist PiTP 2010

Video thumbnail

Effortless Trisections

Link: https://www.geogebra.org/m/uj4qqmkZ

From playlist Geometry: Dynamic Interactives!

Video thumbnail

Moduli of degree 4 K3 surfaces revisited - Radu Laza

Radu Laza Stony Brook University; von Neumann Fellow, School of Mathematics February 3, 2015 For low degree K3 surfaces there are several way of constructing and compactifying the moduli space (via period maps, via GIT, or via KSBA). In the case of degree 2 K3 surface, the relationship be

From playlist Mathematics

Video thumbnail

Maria Angelica Cueto - "Implicitization of surfaces via geometric tropicalization"

Implicitization of surfaces via geometric tropicalization - Research lecture at the Worldwide Center of Mathematics.

From playlist Center of Math Research: the Worldwide Lecture Seminar Series

Video thumbnail

Counting and Constraining Gravitational Scattering matrices (Lecture 1) by Shiraz Minwalla

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

Related pages

Compactification (mathematics) | Algebraic group | Complex number | Closure (topology) | Quotient group | Symmetric variety