Structures on manifolds | Symplectic geometry | Algebraic topology
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).
[c] Introduction to Linked Lists
From playlist Data Structures
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
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
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
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
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
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
On the formal degrees...metaplectic groups - Atsushi Ichino
Atsushi Ichino Kyoto University February 5, 2015 The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoint gamma-factor of its L-parameter. We prove the formal degre
From playlist Mathematics
Whittaker functions and lattice models -Henrik Gustafsson
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
This lecture is part of an online graduate course on Lie groups. We define the exponential map for matrix groups and describe its basic properties. (We also sketch two ways to define it for general Lie groups.) We give an example to show that it need not be surjective even for connected g
From playlist Lie groups
The Theta Correspondence Origins, Results, and Ramifications Part I
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
Geometry - Ch. 1: Basic Concepts (27 of 49) What is a Polygon?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a polygon. In Greek, poly- means many and -gon means angles or corners. Polygon is a figure with the following properties: 1) It is made with 3 or more line segments (or sides). 2) Eac
From playlist THE "WHAT IS" PLAYLIST
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
Marcela Hanzer: Adams’ conjecture on theta correspondence
CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 27, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldw
From playlist Virtual Conference
SYN109 - More on Constituents II
In this second E-Lecture about X-bar syntax which builds upon the E-Lectures "Constituent tests", "Constituent analysis - first steps", and "More on Constituents I", Prof. Handke discusses the internal structure of the constituents IP and CP, and introduces some syntactic problems that eve
From playlist Phrase Structure - X-Bar Syntax
The Drinfeld-Sokolov reduction of admissible representations of affine Lie algebras - Gurbir Dhillon
Workshop on Representation Theory and Geometry Topic: The Drinfeld--Sokolov reduction of admissible representations of affine Lie algebras Speaker: Gurbir Dhillon Affiliation: Yale University Date: April 03, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lie groups: Lie groups and Lie algebras
This lecture is part of an online graduate course on Lie groups. We discuss the relation between Lie groups and Lie algebras, and give several examples showing how they behave differently. Lie algebras turn out to correspond more closely to the simply connected Lie groups. We then explain
From playlist Lie groups
SYN_020 - Linguistic Micro-Lectures: Syntactic Trees
In this short micro-lecture, Aaron Cook, one of Prof. Handke's students, discusses the notion of the "syntactic tree", a central concept in syntax.
From playlist Micro-Lectures - Syntax
Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations - Gal Dor
Joint IAS/Princeton University Number Theory Seminar Topic: Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations Speaker: Gal Dor Affiliation: Tel Aviv University Date: March 04, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
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