Scheme theory | Algebraic varieties | Algebraic geometry
In algebraic geometry, a Gorenstein scheme is a locally Noetherian scheme whose local rings are all Gorenstein. The canonical line bundle is defined for any Gorenstein scheme over a field, and its properties are much the same as in the special case of smooth schemes. (Wikipedia).
Yongnam Lee: Q-Gorenstein Deformations and their applications
In this talk we will discuss Q-Gorenstein schemes and Q-Gorenstein morphisms in a general setting. Based on the notion of Q-Gorenstein morphism, we define the notion of Q-Gorenstein deformations and discuss their properties. Versal properties of Q-Gorenstein deformations and their applicat
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Commutative algebra 64: Gorenstein rings
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. We give an informal introduction to Gorenstein local rings, which are informally those with good duality properties. We give s
From playlist Commutative algebra
Karl Schwede: Ordinary reductions & F singularities
In his seminal paper on arithmetic surfaces Faltings introduced a new invariant associated to compact Riemann surfaces. For a given compact Riemann surface X of genus g, this invariant is roughly given as minus the logarithm of the distance of the point in the moduli space of genus g curve
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
2 Romanticism - First Attack on Enlightenment (Isaiah Berlin 1965)
Isaiah Berlin gives the 2nd lecture in a series of 6 on Romanticism and its roots. All 6 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_9uxkmfSIt2JJK6oKbXmd- For Berlin, the Romantics set in motion a vast, unparalleled revolution in humanity’s view of itself. They destroyed
From playlist Isaiah Berlin
Gorenstein Rings In Local Algebra by Srikanth Iyengar
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Commutative algebra 66: Local complete intersection rings
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. We define local complete intersection rings as regular local rings divided by a regular sequence. We give a few examples to il
From playlist Commutative algebra
Liana Heuberger : Combinatorial Reid’s recipe for consistent dimer models
CONFERENCE Recording during the thematic meeting : "Algebraic Geometry and Complex Geometry " the November 29, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicia
From playlist Algebraic and Complex Geometry
Yuri Berest : Spaces of quasi-invariants
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 26, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
How to calculate Linear Regression using R. http://www.MyBookSucks.Com/R/Linear_Regression.R http://www.MyBookSucks.Com/R Playlist http://www.youtube.com/playlist?list=PLF596A4043DBEAE9C
From playlist Linear Regression.
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
Alina Marian - On the tautological cohomology of the moduli space of curves
Worldwide Center of Mathematics. Research lecture
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
1 Romanticism - In Search of a Definition (Isaiah Berlin 1965)
Isaiah Berlin gives the 1st lecture in a series of 6 on Romanticism and its roots. All 6 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_9uxkmfSIt2JJK6oKbXmd- For Berlin, the Romantics set in motion a vast, unparalleled revolution in humanity’s view of itself. They destroyed
From playlist Social & Political Philosophy
Linear algebra for Quantum Mechanics
Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****
From playlist Quantum Physics
Marc Hoyois: Hilbert schemes in motivic homotopy theory
29 September 2021 Abstract: Hilbert schemes of ane spaces are highly singular schemes with a complicated geometry, but they exhibit some interesting stability phenomena as the dimension of the affine space goes to infinity. I will explain a computation of the motives of these Hilbert sche
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
John Greenlees: The singularity category of C^*(BG) for a finite group G
SMRI Algebra and Geometry Online John Greenlees (Warwick University) Abstract: The cohomology ring H^*(BG) (with coefficients in a field k of characteristic p) is a very special graded commutative ring, but this comes out much more clearly if one uses the cochains C^*(BG), which can be vi
From playlist SMRI Algebra and Geometry Online