Jasna Urbančič (11/03/21):Optimizing Embedding using Persistence
Title: Optimizing Embedding using Persistence Abstract: We look to optimize Takens-type embeddings of a time series using persistent (co)homology. Such an embedding carries information about the topology and geometry of the dynamics of the time series. Assuming that the input time series
From playlist AATRN 2021
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration
From playlist Number Theory
Daniel CRISTOFARO GARDINER - Symplectic embeddings of products
McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an “infinite staircase” determined by the odd-index Fibonacci numbers. We show that this
From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry
Marianna Russkikh (MIT) -- Dimers and embeddings
One of the main questions in the context of the universality and conformal invariance of a critical 2D lattice model is to find an embedding which geometrically encodes the weights of the model and that admits "nice" discretizations of Laplace and Cauchy-Riemann operators. We establish a c
From playlist Northeastern Probability Seminar 2020
Beata Randrianantoanina: On a difference between two methods of low-distortion embeddings of...
Abstract: In a recent paper, the speaker and M.I. Ostrovskii developed a new metric embedding method based on the theory of equal-signs-additive (ESA) sequences developed by Brunel and Sucheston in 1970’s. This method was used to construct bilipschitz embeddings of diamond and Laakso graph
From playlist Analysis and its Applications
Symplectic Embeddings and Infinite Staircases - Nicole Magill
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Symplectic Embeddings and Infinite Staircases Speaker: Nicole Magill Affiliation: Cornell University Date: February 6, 2023 The four dimensional ellipsoid embedding function of a toric symplectic manifold M measures when a
From playlist Mathematics
Obsructions to Symplectic Embeddings
Speakers; C.Huangdai(Basic Background, Definitions, 4-D Symplectic manifold, , Symplectomorphisms and Symplectic Embeddings, Results). T.Coyne(What fits in what, Rigidity in Symplectic Geometry, Symplectic Capacities, Flexibility of Symplectic Embeddings, ECH Capacities, Polydisks into a
From playlist 2017 Summer REU Presentations
Bourbaki - 24/01/15 - 4/4 - Philippe EYSSIDIEUX
Métriques de Kähler-Einstein sur les variétés de Fano [d'après Chen-Donaldson-Sun et Tian]
From playlist Bourbaki - 24 janvier 2015
Frédéric Mangolte: Algebraic models of the line in the real affine plane
Abstract: We study the following real version of the famous Abhyankar-Moh Theorem: Which real rational map from the affine line to the affine plane, whose real part is a non-singular real closed embedding of ℝ into ℝ^2, is equivalent, up to a birational diffeomorphism of the plane, to the
From playlist Algebraic and Complex Geometry
Bhargav Bhatt - Prismatic cohomology and applications: Kodaira vanishing
February 21, 2022 - This is the third in a series of three Minerva Lectures. Prismatic cohomology is a recently discovered cohomology theory for algebraic varieties over p-adically complete rings. In these lectures, I will give an introduction to this notion with an emphasis on applicatio
From playlist Minerva Lectures - Bhargav Bhatt
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
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
Bourbaki - 07/11/15 - 3/4 - Benoît CLAUDON
Semi-positivité du cotangent logarithmique et conjecture de Shafarevich-Viehweg, d’après Campana, Pa ̆un, Taji,... Démontrée par A. Parshin et S. Arakelov au début des années 1970, la conjecture d’hyperbolicité de Shafarevich affirme qu’une famille de courbes de genre g ≥ 2 paramétrée pa
From playlist Bourbaki - 07 novembre 2015
Dominik Inauen: Isometric Embeddings Flexibility vs Rigidity
The lecture was held within the framework of the Hausdorff Trimester Program: Evolution of Interfaces. Abstract: The problem of embedding abstract Riemannian manifolds isometrically (i.e. preserving the lengths) into Euclidean space stems from the conceptually fundamental question of whe
From playlist HIM Lectures: Trimester Program "Evolution of Interfaces"
Enrica Floris: Invariance of plurigenera for foliations on surfaces
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
Alessandra Sarti: Topics on K3 surfaces - Lecture 5: Finite automorphism groups
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
The Lens of Abelian Embeddings - Dor Minzer
Computer Science/Discrete Mathematics Seminar II Topic: The Lens of Abelian Embeddings Speaker: Dor Minzer Affiliation: Massachusetts Institute of Technology Date: March 28, 2023 A predicate P:Σk→0,1 is said to be linearly embeddable if the set of assignments satisfying it can be embedde
From playlist Mathematics
Rasa Algorithm Whiteboard - Understanding Word Embeddings 1: Just Letters
We're making a few videos that highlight word embeddings. Before training word embeddings we figured it might help the intuition if we first trained some letter embeddings. It might suprise you but the idea with an embedding can also be demonstrated with letters as opposed to words. We're
From playlist Algorithm Whiteboard
Schemes 48: The canonical sheaf
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define the canonical sheaf, giev a survey of some applications (Riemann-Roch theorem, Serre duality, canonical embeddings, Kodaira dimensio
From playlist Algebraic geometry II: Schemes