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#Singularity Theory

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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A p-adic Approach to Differential Equations - Lecture 1

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Explore a mathematical lecture on p-adic approaches to differential equations in this first installment of a series presented by Masha Vlasenko. Delivered as part of the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at…
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Equations, Geometry and Arithmetic - Lecture 1

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Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.
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1 Lesons
1 hour
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

René Thom and Semantic Information - Exploring Mathematical Approaches to Meaning

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Explore René Thom's ideas on semantic information, extending beyond Shannon's statistical theory to topological dynamics and singularity theory applications in biology, linguistics, and philosophy.
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1 Lesons
1 hour 9 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Blowup Algebras - 34th CBM Plenary Lecture

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Explore blowup algebras in mathematics through a plenary lecture at the 34th Brazilian Mathematics Colloquium, presented by Claudia Polini from Notre Dame University.
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1 Lesons
1 hour 2 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA Meeting

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Explore advanced topics in algebraic geometry and commutative algebra, including differential forms, Riemann surfaces, and foliations, with expert Jorge Vitório Pereira.
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15 Lesons
38 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Folheações Holomorfas - Aula 16

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Explore advanced concepts in holomorphic foliations with Dr. Jorge Vitório Pereira in this doctoral-level lecture, delving into complex mathematical theories and their applications.
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1 Lesons
1 hour 23 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Folheações Holomorfas - Aula 20

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Explore advanced concepts in holomorphic foliations with Dr. Jorge Vitório Pereira in this doctoral-level lecture, delving into complex mathematical theories and their applications.
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1 Lesons
1 hour 3 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Folheações Holomorfas - Aula 19

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Explore holomorphic foliations in this advanced doctoral lecture, delving into complex mathematical concepts and theories in pure mathematics.
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1 Lesons
1 hour 14 minutes
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Free-Video
International Centre for Theoretical Sciences

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

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Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.
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24 Lesons
3 hours 12 minutes
On-Demand
Free-Video
IMSA

Surface Quotient Singularities and Big Cotangent Bundle

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Explore hyperbolic properties of surfaces with big cotangent bundle, including the Green-Griffiths-Lang conjecture and a new bigness criterion for orbifold surface resolutions.
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1 Lesons
1 hour 14 minutes
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Free-Video
IMSA

Geometry, Topology, Group Actions, and Singularities in the Americas

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Explore the intersection of geometry, topology, group actions, and singularity theory in this conference talk, fostering collaboration among experts across the Americas and beyond.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
IMSA

Andras Nemethi- Multivariable Poincaré Series of Complex Singularities

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Explore multivariable Poincaré series in complex singularities with Andras Nemethi. Delve into advanced mathematical concepts at the intersection of geometry, topology, and singularity theory.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Semistable Reduction - A Progress Report

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Explore recent advancements in resolving singularities of complex varieties, including functorial weak semistable reduction and the proof of the semistable reduction conjecture.
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1 Lesons
1 hour 3 minutes
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Free-Video
IMSA

Blow Up Formulae and Invariants II - Dimension Theory

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Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.
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1 Lesons
58 minutes
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Free-Video
ICTP Mathematics

Singularity Invariants in Positive Characteristic

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Explore singularity invariants in positive characteristic mathematics, focusing on advanced concepts and their applications in algebraic geometry and related fields.
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1 Lesons
52 minutes
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Free-Video
ICTP Mathematics

F-Singularities — Applications of Characteristic P Methods to Singularity Theory

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Explore applications of characteristic p methods in singularity theory, focusing on F-singularities and their role in commutative algebra and algebraic geometry.
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1 Lesons
1 hour
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Free-Video
Hausdorff Center for Mathematics

Boundedness of SLC Degenerations of Polarized Log Calabi-Yau Pairs

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Explore boundedness of slc degenerations in polarized log Calabi-Yau pairs, focusing on families over smooth curves with ample divisors and relatively trivial log canonical divisors.
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1 Lesons
56 minutes
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Free-Video
IMSA

Fractal Dimensions of Critical Loci in Algebraic Geometry

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Explore fractional dimensions in mathematics, focusing on critical loci of holomorphic functions. Discover theories from algebraic geometry, singularity theory, and more, with the smallest non-zero dimension at 1/3.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Fields Institute

Exploring the Real Parameter Space

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Delve into enumerative geometry with Margaret Regan as she investigates real parameter spaces, offering insights into this fascinating mathematical realm.
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1 Lesons
53 minutes
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Free-Video
M-Seminar, Kansas State University

Empty Real Plane Sextic Curves

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Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
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1 Lesons
1 hour 22 minutes
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Free-Video
M-Seminar, Kansas State University

Singularities of the Quantum Connection on a Fano Variety

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Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
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1 Lesons
1 hour 10 minutes
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Free-Video
Institute for Advanced Study

Elliptic Regularity and Singularity

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Explore elliptic regularity and singularity in mathematics with Federico Franceschini's concise talk, gaining insights into advanced mathematical concepts and their applications.
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1 Lesons
16 minutes
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Free-Video
Institute for Advanced Study

Singularities of Constructible Sheaves

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Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.
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1 Lesons
18 minutes
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Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Birational and Singularity Invariants from Non-Commutative Hodge Theory

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Explore new additive invariants of smooth projective varieties called Hodge atoms, their applications to birational equivalence, and novel singularity invariants in algebraic geometry.
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1 Lesons
1 hour 3 minutes
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Free-Video
Conference GSI

Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve

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Explore advanced techniques for computing real algebraic plane curve topology without relying on general position assumptions. Gain insights into innovative mathematical approaches.
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1 Lesons
21 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Geometric Ideas of René Thom Related to Manifolds with Singularities

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Explore René Thom's groundbreaking papers on transversality, cobordism, and manifolds with singularities, revealing their geometric insights and impact on mathematical understanding.
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1 Lesons
51 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Morphological Analysis of Collagen Straightness in Colon Mucosa Away from Cancer

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Explore morphological analysis of collagen fiber straightness in colon mucosa, revealing insights into colorectal cancer development through topological and statistical approaches.
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1 Lesons
57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On Fillings of Contact Links of Isolated Quotient Singularities - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.
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11 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On Integral Conditions for the Existence of First Integrals for Analytic Deformations of Complex Saddle Singularities

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Explore integral conditions for first integrals in analytic deformations of complex saddle singularities. Gain insights from expert Víctor Arturo Martínez León in this advanced mathematics lecture.
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1 Lesons
37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 1

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this comprehensive lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 4

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Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 1

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Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 4

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 3

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry

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Explore degrees of foliation space components via P1xP1 pullbacks. Dive into advanced algebraic geometry and holomorphic foliation theory with expert Viviana Ferrer.
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1 Lesons
34 minutes
On-Demand
Free-Video
Galileo Galilei Institute (GGI)

Landau Singularities from Whitney Stratifications

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Explore Landau singularities through Whitney stratifications, delving into advanced mathematical concepts and their applications in theoretical physics.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

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Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
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11 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Spectrum of Singularities

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Explore hypersurface singularity spectra: definition, properties, and computational techniques. Learn about Thom-Sebastiani theorem, semicontinuity, and applications in algebraic geometry.
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8 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Fields Institute

Techniques of Resolution of Singularities in Quasianalytic Classes - Lecture 1

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Explore advanced mathematical concepts in singularity resolution within quasianalytic classes, presented by Andre Belotto da Silva from Université de Paris.
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1 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Counting Divisorial Contractions with Centre a $cA_n$-Singularity

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Explore 3D divisorial contractions with $cA_n$-singularity centers, simplifying existing classifications and examining high-discrepancy contractions to fixed varieties.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Logarithmic Resolution of Singularities

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Explore a novel approach to resolving singularities in algebraic geometry using logarithmic techniques, offering faster and more functorial results with applications to log schemes and morphisms.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

GPPV Invariants and the Spectrum of Singularities

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Explore complex surface singularities, their 3-manifold links, and GPPV invariants. Discover new connections between modular forms and singularity spectra for Brieskorn homology spheres and ADE singularity links.
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1 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Steenbrink Spectra in Singularity Categories

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Explore Steenbrink spectra's role in singularity categories, examining how spectral numbers manifest in triangulated singularity categories associated with singularities.
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1 Lesons
1 hour 7 minutes
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Free-Video
ICTP Mathematics

Exotic Spheres and Singularities - Math Associates Seminar

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Explore the fascinating journey from exotic spheres to Milnor's Fibration Theorem, a cornerstone in singularity theory, and its impact on complex hypersurface geometry and topology.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

F-Singularities - Applications of Characteristic P Methods to Singularity Theory

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Explore applications of characteristic p methods in singularity theory, focusing on F-singularities and their implications in algebraic geometry and commutative algebra.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

F-Singularities - Applications of Characteristic P Methods to Singularity Theory

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Explore applications of characteristic p methods in singularity theory, focusing on F-singularities and their implications for algebraic geometry and commutative algebra.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Lipschitz Geometry and Combinatorics of Abnormal Surface Germs

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Explore Lipschitz geometry and combinatorics of abnormal surface germs in this advanced mathematics talk by Andrei Gabrielov from Purdue University.
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1 Lesons
55 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Extremal Singularities

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Explore extremal singularities in algebraic geometry, focusing on hypersurface singularities, cone singularities, and their classification, with insights into cubic surfaces and characteristic p phenomena.
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14 Lesons
58 minutes
On-Demand
Free-Video
NCCR SwissMAP

Symplectic Ak Singularities and Schrödinger Operators

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Explore finite dimensional integrability in mathematical physics, focusing on symplectic Ak singularities and Schrödinger operators.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

From Thom's Gradient Cell Decomposition to the Curvature of Milnor Fibers

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Explore Thom's gradient cell decomposition and its impact on understanding complex hypersurface singularities, polar curves, and Milnor fibers through algebraic, topological, and Lipschitz-geometric perspectives.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Complete Outer Lipschitz Classification of Complex Surface Singularities

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Explore the complete outer Lipschitz classification of complex surface singularities in this advanced mathematical presentation by Anne Pichon.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Recent Progress in Mean Curvature Flow

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Delve into advanced mathematical concepts of mean curvature flow, exploring recent breakthroughs in singularity formation and the resolution of the Multiplicity One Conjecture.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Exact Calculation of Degrees for Lattice Equations - A Singularity Approach

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Delve into advanced mathematical concepts of discrete integrable systems, focusing on lattice equations and singularity analysis through exact degree calculations and theoretical frameworks.
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1 Lesons
55 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Equations, Geometry and Arithmetic - Lecture 3

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Delve into advanced mathematical concepts exploring the intricate relationships between differential equations, geometry, and arithmetic through expert analysis and theoretical frameworks.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Dimensional Katz Theory

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Explore advanced mathematical concepts in higher dimensional Katz theory through rigorous analysis and theoretical frameworks within singular differential equations.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

First Order Differential Equations in Characteristic Zero and Characteristic p

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Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video