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#Lie Groupoids

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IMSA

Fundamentals of Lie Groupoids and Algebroids - Lecture Series

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Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

A Fixed-Point Formula for Dirac Operators on Lie Groupoids

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Explore fixed-point formulas for Dirac operators on Lie groupoids, delving into advanced mathematical concepts and their applications in geometric analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

Lie Groupoids Determined by Their Orbit Spaces

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Explore how Lie groupoids are uniquely determined by their orbit spaces, delving into advanced concepts in Hamiltonian geometry and mathematical physics.
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1 Lesons
25 minutes
On-Demand
Free-Video
Dublin Institute for Advanced Studies DIAS

Frame PB-Groupoid of a VB-Groupoid

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Explore properties of special principal bundles, focusing on frames of VB-groupoids and their relation to geometric connections and structures on Lie groupoids.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Fields Institute

Derived Higher Lie Groupoids

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Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
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1 Lesons
50 minutes
On-Demand
Free-Video
Global Noncommutative Geometry Seminar

Equivariant Local Index Theory for Lie Groupoids

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Explore equivariant local index theory for Lie groupoids, covering motivation, key concepts, and advanced mathematical techniques in noncommutative geometry.
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24 Lesons
56 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Smooth 2-Groups and Their Principal Bundles

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Explore smooth 2-groups and principal bundles in Lie groupoids. Learn about categorical generalizations of groups and their applications in mathematics.
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1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1

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Explore quantum toric geometry, a non-commutative generalization of toric geometry. Learn about stacks, quantum tori, and quantum toric varieties, building on foundations of traditional toric geometry.
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17 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Vortex Sheets and Groupoids in Ideal Hydrodynamics

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Explore Arnold's group-theoretic approach to ideal hydrodynamics and its applications to vortex sheets, fluids with moving boundaries, and multiphase fluids using Lie groupoid symmetries.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Geodesic Framework for Vortex Sheets and Generalized Fluid Flows

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Explore geodesic frameworks for vortex sheets and generalized fluid flows, examining group-theoretic approaches to ideal hydrodynamics and Lie groupoid symmetries in mathematical physics.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video