Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Cohomology

Showing: 124 courses
University of Chicago Department of Mathematics

Cohomology of Moduli Spaces of Curves

0 rewiews
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

The Weil Conjectures and A1-homotopy Theory

0 rewiews
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 3

0 rewiews
Explore two methods for studying abelian actions and centralizers: linearization and non-linearization. Delve into cohomology concepts and their applications in dynamical systems analysis.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang

0 rewiews
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
Add to list
18 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Advanced Study

A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier

0 rewiews
Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.
Add to list
9 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Variedade de Fermat I - Aula 17

0 rewiews
Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Gauss-Manin Connection - Aula 16

0 rewiews
Explore a conexão de Gauss-Manin na Teoria de Hodge, aprofundando-se em conceitos avançados de matemática pura aplicada ao doutorado.
Add to list
1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Hodge Loci - Aula 19

0 rewiews
Explore Hodge loci in advanced mathematics, delving into complex algebraic geometry and Hodge theory concepts for doctoral-level understanding.
Add to list
1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge da Variedade de Fermat - Aula 18

0 rewiews
Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video
Institute for Advanced Study

Cohomologically Tropical Varieties and Mixed Hodge Structures

0 rewiews
Delve into advanced geometric concepts exploring tropicalizations of torus subvarieties, focusing on Poincaré duality and mixed Hodge structures in relation to hyperplane arrangements.
Add to list
1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
BunG Seminar

Examples and Basic Properties of BunG - Talk 9

0 rewiews
Explore concrete examples of BunG geometry through explicit polynomial computations, focusing on P^1 cases and examining vector bundles, G-torsors, and Ramanathan's deformation theory.
Add to list
1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Moduli Spaces of Bundles on Curves with Abelian Motives

0 rewiews
Explore the mathematical theory behind abelian motives in bundle moduli spaces, examining motivic formulas and their relationship to cohomological phenomena on curves.
Add to list
1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Log Symplectic Pairs and Mixed Hodge Structures

0 rewiews
Explores log symplectic pairs, their connection to hyperkaehler variety degenerations, and classification of pure weight pairs. Discusses analogies with log Calabi-Yau surfaces and implications for mixed Hodge structures.
Add to list
15 Lesons
54 minutes
On-Demand
Free-Video
IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

0 rewiews
Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.
Add to list
17 Lesons
48 minutes
On-Demand
Free-Video
IMSA

Windows and Geometric Invariant Theory

0 rewiews
Explore windows theory in algebraic geometry, its applications to GIT constructions, and its impact on derived categories and stability conditions in various mathematical contexts.
Add to list
8 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Sanjeevi Krishnan - Homological Programming

0 rewiews
Explore algebraic topology applications in programming, covering pursuit-evasion problems, positive cones, Alexander duality, and directed topology, with insights into decomposability and computational aspects.
Add to list
17 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Robert Ghrist - Laplacians and Network Sheaves

0 rewiews
Explore cellular sheaves, Laplacians, and network dynamics in algebraic topology. Learn about sheaf cohomology computation and applications in decentralized methods.
Add to list
16 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

On the Cohomology of Quot Schemes Parametrizing Torsion Quotients on a Smooth Curve

0 rewiews
Explore cohomology of Quot schemes on smooth curves, focusing on torsion quotients. Delve into additive basis, natural maps, and geometric interpretations with expert insights.
Add to list
12 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Fields Institute

Quantum Complexity and L-functions

0 rewiews
Explore quantum algorithms for L-functions and zeta functions, examining complexity results, cohomology's role, and applications to modular forms and Mordell-Weil theorem.
Add to list
18 Lesons
55 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Cohomological Characterization of Information Structures

0 rewiews
Exploring cohomological methods to quantify statistical interactions in datasets, linking information theory, statistical physics, and machine learning for improved data analysis and interpretation.
Add to list
1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Mapping Spaces and E_2 Algebras

0 rewiews
Explore mapping spaces, spectral sequences, and E_2 algebras in topology. Discover connections between configuration spaces, cochains, and factorization homology in this advanced mathematical lecture.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Extensions in MHM and Hain's Biextension Line Bundle - Part 2

0 rewiews
Explores biextension line bundles, their extensions, and algebraic structures. Presents a formula for Q-line bundles, building on Hain and Pearlstein's work on normal functions and complex manifolds.
Add to list
1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Filtered Ends and Bochner Hartogs Dichotomy on Complete Kahler Manifolds

0 rewiews
Explore filtered ends and Bochner Hartogs dichotomy on complete Kahler manifolds, examining relationships between generalized ends and first compactly supported cohomology.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Torelli Action on SU(n) Representation Varieties of Projective Curves

0 rewiews
Explore Torelli group action on SU(n) representation varieties, its nontriviality in degree 6 cohomology, and implications for moduli of semistable bundles with trivial determinant.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Top Weight Cohomology of M_g

0 rewiews
Explore the top-graded weight filtration on open moduli spaces, with applications to exponential growth in H^{4g-6}(M_g, Q) dimensions, disproving previous conjectures.
Add to list
1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

On the P=W Conjecture II

0 rewiews
Exploration of the mirror P=W conjecture, its evidence in low dimensions, and potential verification methods using Lagrangian torus fibrations. Discusses work with Katzarkov-Przyjalkowski and Katzarkov-Pantev.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models

0 rewiews
Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

The Mirror Clemens-Schmid Sequence

0 rewiews
Explore a four-term exact sequence in cohomology, its relation to filtrations, and a proposed mirror to the Clemens-Schmid sequence, with applications in K3 surface settings.
Add to list
1 Lesons
58 minutes
On-Demand
Free-Video
International Mathematical Union

The Cohomology of Shimura Varieties with Torsion Coefficients and Applications

0 rewiews
Explore Shimura varieties' cohomology with torsion coefficients and its applications in advanced mathematics, presented by Ana Caraiani.
Add to list
1 Lesons
41 minutes
On-Demand
Free-Video
International Mathematical Union

Ofer Gabber- Bounding the Torsion in the L-adic Cohomology of Smooth Projective Varieties Without

0 rewiews
Explore advanced mathematical concepts in l-adic cohomology, focusing on torsion bounds in smooth projective varieties, presented by renowned mathematician Ofer Gabber.
Add to list
1 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

String Topology of Finite Groups of Lie Type

0 rewiews
Explore string topology's role in understanding cohomology of finite Lie-type groups, connecting to loop spaces and algebraic geometry. Gain insights into recent developments in this mathematical field.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Applied Algebraic Topology Network

Higher Topological Complexity of Seifert Fibered Manifolds

0 rewiews
Explore LS-category and topological complexity of Seifert fibered manifolds, examining lower bounds for higher TC using cohomology class weights and deriving TC_n ranges.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 17

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Add to list
1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 18

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Add to list
1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 14

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Add to list
1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 12

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Add to list
1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP Mathematics

Tautological Rings of Moduli Spaces of Curves - Lecture 3

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
Add to list
1 Lesons
1 hour
On-Demand
Free-Video
ICTP Mathematics

ICTP-IGAP Seminar on Algebraic Geometry - Representations of the Diagonal for Moduli Spaces of Sheaves

0 rewiews
Explore representations of the diagonal for moduli spaces of sheaves, focusing on cohomology, Chow rings, and Lie algebra actions. Gain insights into algebraic geometry and holomorphic symplectic geometry.
Add to list
9 Lesons
1 hour 8 minutes
On-Demand
Free-Video
ICTP Mathematics

Topology - Lecture 12

0 rewiews
Explore advanced concepts in topology, including complex geometric structures and their properties, in this comprehensive lecture by mathematician Bruno Zimmerman.
Add to list
1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Fields Institute

Cohomology of Stacks of Shtukas

0 rewiews
Explore advanced algebraic geometry concepts, focusing on cohomology of shtuka stacks, with insights from Cong Xue's research in this specialized mathematical field.
Add to list
1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

P=W via H_2

0 rewiews
Exploration of Lie algebra H_2 and its action on cohomology of moduli spaces, connecting natural filtrations and tautological operations to unify mathematical concepts.
Add to list
1 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

0 rewiews
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.
Add to list
1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Quiver Moduli and Applications

0 rewiews
Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.
Add to list
1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

0 rewiews
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.
Add to list
1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020 - Quiver Moduli and Applications

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

Felix Klein Lectures 2020- Quiver Moduli and Applications

0 rewiews
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.
Add to list
1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quillen's Stratification Theorems - Lecture 3

0 rewiews
Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.
Add to list
1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quillen's Stratification Theorems - Lecture 2

0 rewiews
Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.
Add to list
1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Differential Topology for Diamonds

0 rewiews
Explores Banach-Colmez tangent spaces for diamonds in smooth rigid analytic varieties, proposing conjectures on preperfectoid loci and cohomological smoothness, with examples and computations.
Add to list
1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quillen Stratification Theorems - Lecture 4

0 rewiews
Explore Quillen Stratification Theorems in algebraic topology, examining their applications and implications for understanding cohomological support varieties and triangulated categories.
Add to list
1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
IMSA

On Mapping Class Groups of Non-Orientable Surfaces

0 rewiews
Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Local Torelli Theorem for Log Symplectic Manifolds

0 rewiews
Explore log symplectic manifolds, their moduli space, and local Torelli theorem. Discover new components in Pn's moduli space of log symplectic structures.
Add to list
1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Fields Institute

Cohomological Obstructions to Group Stability

0 rewiews
Explore cohomological obstructions to group stability in this advanced mathematics seminar, delving into operator algebras and their applications in group theory.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

0 rewiews
Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.
Add to list
1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Uniform Stability of Higher-rank Lattices - Lecture 2

0 rewiews
Explore uniform stability in higher-rank arithmetic groups, focusing on advanced mathematical concepts and their applications in group theory and geometry.
Add to list
1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Fields Institute

Cohomology of Moduli Spaces of Curves

0 rewiews
Explore the intricate cohomology of curve moduli spaces with Hannah Larson, delving into advanced algebraic geometry concepts and their applications.
Add to list
1 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Cohomology Classes in the RNA Transcriptome

0 rewiews
Explore how cohomology classes in single-cell sequencing data can model transient biological processes, using persistent cohomology and differential forms to infer gene expression dynamics.
Add to list
1 Lesons
45 minutes
On-Demand
Free-Video
IMSA

Cohomology Rings of Character Varieties

0 rewiews
Explore cohomology rings of character varieties, including P=W conjecture proof and zero-dimensional COHA computation. Discover connections to Hilbert scheme of C^2 for punctured sphere case.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Stable Module Category for Finite Group Schemes over Commutative Noetherian Rings

0 rewiews
Explore finite group schemes, tensor triangular analysis, and Balmer spectrum calculations in stable module categories, based on recent advancements in cohomology and representation theory.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Polynomial Superfunctors - Applications to Finite Supergroup Schemes

0 rewiews
Explore polynomial superfunctors and their applications in finite supergroup schemes. Gain insights into cohomology calculations and recent developments in representation theory.
Add to list
1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Cohomology of Compactifications of Hypersurface Arrangement Complements

0 rewiews
Explore advanced algebraic geometry concepts, focusing on cohomology of compactifications in hypersurface arrangement complements with expert Alex Fink.
Add to list
1 Lesons
28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Atiyah-Singer Index Theorem - An Overview

0 rewiews
Explore the Atiyah Singer Index Theorem, a groundbreaking result connecting differential equations, geometry, and topology, with insights from renowned mathematician M.S. Raghunathan.
Add to list
1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Steenrod Squares and Data Science - Exploring Connections in Algebraic Topology

0 rewiews
Explore the potential link between advanced algebraic topology concepts and data science classification, examining how increasing algebraic complexity may solve harder geometric problems.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

Equivariant Formality of Isotropy Actions and Products of Spheres

0 rewiews
Explore equivariant formality in topology, focusing on isotropy actions and sphere products. Gain insights into advanced mathematical concepts and their applications in toric topology.
Add to list
1 Lesons
37 minutes
On-Demand
Free-Video
Fields Institute

Some Remarks on the Cohomology of the Vietoris-Rips Complex of a Hypercube Graph

0 rewiews
Explore advanced algebraic topology concepts, focusing on the cohomology of Vietoris-Rips complexes in hypercube graphs, with insights from expert Martin Bendersky.
Add to list
1 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

Cohomology and Geometric Quantization of Toric Manifolds

0 rewiews
Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Add to list
1 Lesons
52 minutes
On-Demand
Free-Video
Cambridge University Press

Weight Zero Compactly Supported Cohomology of Hg,n - Forum of Mathematics Video Series

0 rewiews
Explore the moduli space Hg,n and its algebraic structure in this mathematical video presentation on weight zero compactly supported cohomology research.
Add to list
1 Lesons
30 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Basic Curvature, the Atiyah Cocycle and BV

0 rewiews
Explore advanced mathematical concepts including curvature, Atiyah cocycle, and BV formalism in this in-depth lecture by Athanasios Chatzistavrakidis.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles

0 rewiews
Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
Add to list
1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

0 rewiews
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Poincaré Duality Fibrations and Graph Complexes

0 rewiews
Explore Poincaré duality fibrations and graph complexes in advanced mathematics. Gain insights from Alexander Berglund's conference talk at CIRM's thematic meeting on higher algebra, geometry, and topology.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Higher Algebra and Arithmetic - Rothschild Lecture

0 rewiews
Explore higher algebra's impact on arithmetic, examining how counting processes influence number theory and cohomology, with applications in geometry and zeta functions.
Add to list
1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
NCCR SwissMAP

Graph Complexes, GRT and Cohomology of GLn

0 rewiews
Explore graph complexes, GRT, and GLn cohomology with Oxford's F. Brown. Delve into algebra, topology, and the Grothendieck-Teichmüller group in this advanced mathematical lecture.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

Top Weight Cohomology of M_{g,n} and the Handlebody Group

0 rewiews
Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Advanced Study

Determinants of Cohomology for Number Fields

0 rewiews
Explore determinants of cohomology in number fields, delving into advanced mathematical concepts and their applications in algebraic number theory.
Add to list
1 Lesons
18 minutes
On-Demand
Free-Video
Institut Henri Poincaré

On a Problem of Whitney Type in Algebraic Geometry

0 rewiews
Explorez le théorème de plongement de Whitney et ses applications en géométrie algébrique complexe, en mettant l'accent sur les résultats récents dans le domaine de Whitney.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Space of Curves and Its Intersection Theory - Lecture 2

0 rewiews
Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.
Add to list
1 Lesons
1 hour 53 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Space of Curves and Its Intersection Theory - Lecture 1

0 rewiews
Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
Add to list
1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

A Conjectural Reciprocity Law for Realizations of Motives

0 rewiews
Explore a conjectural reciprocity law connecting realizations of motives, drawing parallels to classical number theory and expanding on Hodge theory's comparison isomorphisms.
Add to list
1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Enumerative Geometry Through Sheaves

0 rewiews
Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.
Add to list
1 Lesons
1 hour
On-Demand
Free-Video
Stony Brook Mathematics

Real Loci of Non-Real Varieties - Mathematics Department Colloquium

0 rewiews
Explore cooriented submanifolds in real algebraic geometry, focusing on their properties, intersections, and linking numbers. Gain insights into the geometry of pencils and real projective spaces.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Quantum Periods for Complements

0 rewiews
Explore quantum periods for complements, focusing on polynomial-defined spectral curves and quantization of polynomial algebras. Gain insights into cohomological descriptions of WKB series.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 4

0 rewiews
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Add to list
1 Lesons
2 hours 23 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 3

0 rewiews
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Add to list
1 Lesons
2 hours 17 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Three Problems in the Mathematics of Deep Learning

0 rewiews
Explore mathematical concepts behind aligning neural networks with classical programs, including polynomial functors, cohomology, and higher categories.
Add to list
1 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Classes of Étale Local Systems

0 rewiews
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.
Add to list
1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Cycle and Pushforward for L-adic Sheaves

0 rewiews
Explore characteristic cycles for l-adic sheaves, their role in measuring ramification, and the compatibility of pushforward along proper morphism in this advanced mathematical lecture.
Add to list
1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Secondary Invariants and Arithmetic Rigidity

0 rewiews
Explore secondary Chern classes in complex local systems, their definitions, and arithmetic analogs. Delve into rigidity phenomena and motivic speculations in algebraic geometry.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Motives and Ring Stacks

0 rewiews
Explore advanced cohomology theories through ring stacks, examining their connection to 6-functor formalism and motivic theory. Gain insights into Tannaka duality and analytic geometry applications.
Add to list
1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 2

0 rewiews
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of algebraic varieties.
Add to list
1 Lesons
2 hours 14 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 1

0 rewiews
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Add to list
1 Lesons
2 hours 6 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

On the Cohomology of Shimura Varieties with Torsion Coefficients

0 rewiews
Explore recent advances in Shimura varieties' cohomology with torsion coefficients, including Hodge-Tate period morphism geometry and local-global compatibility insights.
Add to list
1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Plectic Cohomology of Mixed Shimura Varieties and Stacks

0 rewiews
Explore joint work on plectic cohomology of mixed Shimura varieties and stacks with Tony Scholl from the University of Cambridge.
Add to list
1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Banach Center

Introduction to Koszul Duality - Part 3

0 rewiews
Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.
Add to list
1 Lesons
44 minutes
On-Demand
Free-Video
Banach Center

Introduction to Koszul Duality - Part 2

0 rewiews
Explore advanced concepts of Koszul duality, building on previous knowledge and delving into complex mathematical theories and applications.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Banach Center

Introduction to Koszul Duality - Part 1

0 rewiews
Explore Koszul duality fundamentals with Vladimir Dotsenko, delving into algebraic structures and homological algebra concepts.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Introduction to Rigid Local Systems

0 rewiews
Explorez les systèmes locaux rigides, leurs propriétés et applications en géométrie et théorie des nombres. Découvrez les avancées récentes et la conjecture de Simpson sur leur origine géométrique.
Add to list
33 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Introduction to Circular Orderings - Lecture 2

0 rewiews
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Introduction to Circular Orderings - Lecture 3

0 rewiews
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Introduction to Circular Orderings - Lecture 1

0 rewiews
Explore algebraic and combinatorial aspects of circularly-orderable groups, covering definitions, group operations, cohomology, and obstruction spectra. Gain insights through exercises and open problems.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video