Structures on manifolds | Symplectic geometry | Algebraic topology

Metaplectic structure

In differential geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold allows one to define the symplectic spinor bundle, which is the Hilbert space bundle associated to the metaplectic structure via the metaplectic representation, giving rise to the notion of a symplectic spinor field in differential geometry. Symplectic spin structures have wide applications to mathematical physics, in particular to quantum field theory where they are an essential ingredient in establishing the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology. They are also of purely mathematical interest in differential geometry, algebraic topology, and K theory. They form the foundation for symplectic spin geometry. (Wikipedia).

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Binary Tree 1. Constructing a tree (algorithm and pseudocode)

This is the first in a series of videos about binary trees. It is an explanation of the dynamic data structure known as the Binary Tree. It describes the way in which a binary tree is constructed, and how it can be represented numerically using a system of left and right pointers. This v

From playlist Data Structures

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Data structures: Introduction to Trees

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described tree data structure as a logical model in computer science. We have briefly discussed tree as a non-linear hierarchical data structure, i

From playlist Data structures

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Stack Data Structure - Algorithm

This is an explanation of the dynamic data structure known as a stack. It includes an explanation of how a stack works, along with pseudocode for implementing the push and pop operations with a static array variable.

From playlist Data Structures

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Modular forms of half-integral weight on exceptional groups

Joint IAS/Princeton University Number Theory Seminar Topic: Modular forms of half-integral weight on exceptional groups Speaker: Spencer Leslie Affiliation: Duke University Half-integral weight modular forms are classical objects with many important arithmetic applications.  In terms of

From playlist Joint IAS/PU Number Theory Seminar

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Data structures: Introduction to graphs

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described Graph data structure as a mathematical model. We have briefly described the concept of Graph and some of its applications. For practice

From playlist Data structures

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Graph Data Structure 1. Terminology and Representation (algorithms)

This is the first in a series of videos about the graph data structure. It mentions the applications of graphs, defines various terminology associated with graphs, and describes how a graph can be represented programmatically by means of adjacency lists or an adjacency matrix.

From playlist Data Structures

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From playlist Mathematics

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Short Talks by Postdoctoral Members Topic: Whittaker functions and lattice models Speaker: Henrik Gustafsson Affiliation: Member, School of Mathematics Date: September 29, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Lie groups: Exponential map

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From playlist Lie groups

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Geometry - Ch. 1: Basic Concepts (27 of 49) What is a Polygon?

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From playlist THE "WHAT IS" PLAYLIST

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An Analogue of the Ichino-Ikeda Conjecture for... coefficients of the Metaplectic Group - Erez Lapid

Erez Lapid Hebrew University of Jerusalem and Weizmann Institute of Science March 14, 2013 A few years ago Ichino-Ikeda formulated a quantitative version of the Gross-Prasad conjecture, modeled after the classical work of Waldspurger. This is a powerful local-to-global principle which is

From playlist Mathematics

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Marcela Hanzer: Adams’ conjecture on theta correspondence

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From playlist Virtual Conference

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SYN109 - More on Constituents II

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From playlist Phrase Structure - X-Bar Syntax

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The Drinfeld-Sokolov reduction of admissible representations of affine Lie algebras - Gurbir Dhillon

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From playlist Mathematics

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Lie groups: Lie groups and Lie algebras

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From playlist Lie groups

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SYN_020 - Linguistic Micro-Lectures: Syntactic Trees

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From playlist Micro-Lectures - Syntax

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Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations - Gal Dor

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From playlist Mathematics

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Protein Structure - Primary, Secondary, Tertiary, & Quarternary - Biology

This biology video tutorial provides a basic introduction into the four levels of protein structure - primary, secondary, tertiary and quarternary structure. The primary structure of a protein is based on the sequence of amino acids. The secondary structure is based on localized shapes s

From playlist Biochemistry

Related pages

Spin structure | Spin geometry | Metaplectic group | Hilbert space | Symplectic group | Differential geometry | Chern class | Obstruction theory | Symplectic manifold | Riemannian manifold | Symplectic geometry | Symplectic frame bundle | Symplectic spinor bundle | Algebraic topology