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#Algebraic Variety

Showing: 37 courses
IMSA

Hodge Theory of Abelian Covers of Algebraic Varieties

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Explore Hodge Theory of Abelian Covers in algebraic varieties, covering Alexander modules, multivariables, and transformations. Gain insights into advanced mathematical concepts and their applications.
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13 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Asymptotic Behaviour of Rational Curves

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Explorez le comportement asymptotique des courbes rationnelles à travers une conférence mathématique approfondie présentée par Loïs Faisant au CIRM.
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1 Lesons
42 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Hodge Loci - Aula 19

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Explore Hodge loci in advanced mathematics, delving into complex algebraic geometry and Hodge theory concepts for doctoral-level understanding.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
International Mathematical Union

Canonical Kaehler Metrics and Stability of Algebraic Varieties

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Explore canonical Kähler metrics, algebraic variety stability, and the Yau-Tian-Donaldson conjecture in complex geometry. Delve into Kähler manifolds, curvature, and pluripotential theory with recent progress and applications.
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28 Lesons
44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Tropical Limit of String Theory and Feynman Integrals

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Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
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28 Lesons
1 hour 19 minutes
On-Demand
Free-Video
IMSA

Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

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Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.
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1 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Aravind Asok, Jean Fasel - Vector Bundles on Algebraic Varieties

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Explore vector bundles on algebraic varieties with experts Aravind Asok and Jean Fasel, delving into advanced mathematical concepts and their applications in algebraic geometry.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Roger Heath-Brown- The Determinant Method, Lecture II

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Explore the p-adic Determinant Method theorem and its proof in algebraic geometry, advancing understanding of rational points on varieties.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Roger Heath-Brown: The Determinant Method I

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Explore rational points on algebraic varieties, their counting methods, and related phenomena in this advanced mathematics lecture by renowned number theorist Roger Heath-Brown.
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1 Lesons
53 minutes
On-Demand
Free-Video
ICTP Mathematics

Hochschild (co)homology and Geometric Regularity - Andrea Solotar

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Explore Hochschild (co)homology's role in geometric regularity for associative algebras. Discover its applications in commutative and non-commutative settings, and its significance in algebraic geometry.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

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Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

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Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020 - Quiver Moduli and Applications

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Explore quiver moduli spaces' construction, topology, and geometry, with focus on cohomology and applications to Gromov-Witten and Donaldson-Thomas theories via wall-crossing.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020- Quiver Moduli and Applications

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Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
IMSA

Yuri Tschinkel, Courant Institute - New Invariants in Equivariant Birational Geometry

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Explore new obstructions to equivariant birationality in higher-dimensional algebraic varieties, introduced by Tschinkel and Kresch, advancing the field of equivariant birational geometry.
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1 Lesons
57 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Support Variety Theory for Algebraic Supergroups

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Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.
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1 Lesons
52 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Universally Counting Curves in Calabi-Yau Threefolds

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Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Moduli Spaces of Points on the Projective Line and Other Varieties with Many Symmetries

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Explore equivariant birational geometry through recent results and constructions presented by Yuri Tschinkel from SCGP & NYU.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Asymptotic Distribution of Frobenius Roots for Curves and Abelian Varieties

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Explore asymptotic distribution of Frobenius roots for curves and abelian varieties in this advanced mathematical lecture by Michael Tsfasman.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Frobenius Distributions - Lecture 1

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Explore Frobenius distributions in arithmetic statistics through an advanced mathematical lecture by Kiran Kedlaya at CIRM's Spring School.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Classes of Étale Local Systems

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Explore characteristic classes of étale Z_p-local systems on algebraic varieties, their relation to Chern-Simons classes, and connections to Hodge filtration in p-adic settings.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Conjectures on L-functions for Varieties over Function Fields and Their Relations

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Explore conjectures on L-functions for varieties over function fields, focusing on abelian varieties and the BSD-rank conjecture. Examine relationships using rigid cohomology.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Banach Center

Differential Equations and Topology in Algebraic Varieties

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Explore differential equations and topology, covering algebraic varieties, De Rham cohomology, monodromy, and the Riemann-Hilbert problem in this advanced mathematical lecture.
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8 Lesons
48 minutes
On-Demand
Free-Video
Banach Center

What Does It Mean to Classify?

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Explore the concept and significance of classification in mathematics with insights from Joachim Jelisiejew of the University of Warsaw.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
BIMSA

Rationality Problems in Algebraic Geometry - ICBS 2024

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Explore geometric ideas and constructions in the study of rationality of higher-dimensional algebraic varieties, focusing on recent developments and challenges.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Structure of Equivariant Derived Categories - ICBS 2024

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Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.
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1 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 4

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Explore quotients of birational transformation groups in this advanced algebraic geometry lecture by Susanna Zimmermann, part of the V Latin American School of Algebraic Geometry at IMPA.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 3

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Explore quotients of birational transformation groups in algebraic geometry. Delve into advanced concepts with expert Susanna Zimmermann in this comprehensive lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Cox Rings of Algebraic Surfaces

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Explore Cox rings of algebraic surfaces in this panoramic talk by Michela Artebani, part of the V Latin American School of Algebraic Geometry. Gain insights into advanced algebraic geometry concepts.
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1 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Peng Shan- On Geometrical Realization of Centers

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Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
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19 Lesons
42 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Defective Tensor Network Varieties

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Explore defective tensor networks and their anomalies in algebraic varieties, focusing on graph structure, dimensions, and unexpected deviations from parameter-based expectations.
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1 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Counting N = 8 Black Holes as Algebraic Varieties

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Explore algebraic varieties in N=8 black hole counting, bridging quantum gravity and algebraic geometry. Gain insights into the mathematical structure of black holes in supersymmetric theories.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Understanding and Measuring Singularities in Algebraic Geometry

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Explore algebraic geometry, focusing on singularities, smoothness, and resolution. Delve into key concepts like algebraic varieties, coordinate rings, and the Minimal Model Program.
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21 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Towards a Formulation of the Birch and Swinnerton-Dyer Conjecture for Abelian Schemes Over Varieties Over Finite Fields

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Delve into advanced number theory concepts exploring the Birch and Swinnerton-Dyer conjecture's formulation for abelian schemes over finite field varieties, presented by mathematician Amilcar Pacheco.
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1 Lesons
51 minutes
On-Demand
Free-Video
BunG Seminar

Moduli Spaces of Local Systems in Algebraic Varieties

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Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Localization and Virtual Localization - Applications to Quadratic Curve Counts

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Delve into cellular A1-homology theory for smooth algebraic varieties, exploring its computational aspects and connections to Poincaré duality, with focus on smooth projective rational surfaces.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Cellular A1-Homology of Smooth Algebraic Varieties

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Delve into cellular A1-homology theory for smooth algebraic varieties, exploring its computability, motivic analogues of Poincaré duality, and applications to smooth projective rational surfaces.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video