In mathematics, more specifically in the context of geometric quantization, quantization commutes with reduction states that the space of global sections of a line bundle L satisfying the quantization condition on the symplectic quotient of a compact symplectic manifold is the space of invariant sections of L. This was conjectured in 1980s by Guillemin and Sternberg and was proven in 1990s by Meinrenken (the second paper used symplectic cut) as well as Tian and Zhang. For the formulation due to Teleman, see C. Woodward's notes. (Wikipedia).
When Does Exponentiation Commute? (Part 1)
In this video, I'll show how one can find pairs of numbers that can be commuted under exponentiation. That is, we can find pairs of numbers such that x^y = y^x. We will take this equation, x^y = y^x and parametrize it to find these (x,y) pairs. It turns out that there are infinitely many n
From playlist Math
Simplify the Negation of Statements with Quantifiers and Predicates
This video provides two examples of how to determine simplified logically equivalent statements containing quantifiers and predicates. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Find the Limit of a Function of Two Variables: Factor Difference of Cubes
This video explains how to determine a limit of a function of two variables by using algebraic techniques.
From playlist Limits of Functions of Two Variables
When Does Exponentiation Commute ? (Part 2)
In this video, we continue the discussion of finding (x,y) pairs that will commute under exponentiation: x^y = y^x. This time, we will find another way of writing Euler's number and solve the equation x^y = y^x for y with the help of the Lambert W function. Ideas were adapted from the fol
From playlist Math
Determinants and Row Reduction
Effects of row reduction on determinant In this video, we analyze the effects of row-reduction on the determinant. For example, what happens to the determinant of a matrix when you interchange two rows? When you multiply a row by a constant? When you add a row to another? Check out my De
From playlist Determinants
Find the Limit of a Function of Two Variables: Direct Substitution
This video explains how to determine a limit of a function of two variables by performing direct substitution.
From playlist Limits of Functions of Two Variables
Evaluating Recurrence Relations (1 of 4: When do you apply Recurrence Relations?)
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From playlist Further Integration
Ex: Limit of a Function of Two Variables (Origin - Exist)
This video explains how to find a limit of a function of two variables. Site: http://mathispower4u.com
From playlist Limits of Functions of Two Variables
Symmetries of hamiltonian actions of reductive groups - David Ben-Zvi
Explicit, Epsilon-Balanced Codes Close to the Gilbert-Varshamov Bound II - Amnon Ta-Shma Computer Science/Discrete Mathematics Seminar II Topic: Explicit, Epsilon-Balanced Codes Close to the Gilbert-Varshamov Bound II Speaker: Amnon Ta-Shma Affiliation: Tel Aviv University Date: January 3
From playlist Mathematics
Generalized affine Grassmannian slices, truncated shifted Yangians, Hamiltonian... - Joel Kamnitzer
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Generalized affine Grassmannian slices, truncated shifted Yangians, and Hamiltonian reduction Speaker: Joel Kamnitzer Affiliation: University of Toronto Date: November 19, 2020 For more video please visit h
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Boris Feigin - Extensions of usual and deform vertex algebras
Boris Feigin (Landau Institute, Moscou) Extensions of usual and deform vertex algebras There are two natural ways to constract the new vertex algebras.One -as subalgebra in the known one.Bosonisation is the special case of this construction.The second idea is opposite -to get the new algeb
From playlist Conférence à la mémoire de Vadim Knizhnik
Joel Kamnitzer: Categorical g-actions for modules over truncated shifted Yangians
CIRM VIRTUAL CONFERENCE Given a representation V of a reductive group G, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction. This variety comes with a natural deformation quantization, called a Coulomb branch algebr
From playlist Virtual Conference
3D Gauge Theories: Vortices and Vertex Algebras (Lecture 1) by Tudor Dimofte
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Ex: Limit of a Function of Two Variables (Not Origin - Exist - Direct Substitution)
This video explains how to find a limit of a function of two variables. Site: http://mathispower4u.com
From playlist Limits of Functions of Two Variables
Joel Kamnitzer - Symplectic Resolutions, Coulomb Branches, and 3d Mirror Symmetry 1/5
In the 21st century, there has been a great interest in the study of symplectic resolutions, such as cotangent bundles of flag varieties, hypertoric varieties, quiver varieties, and affine Grassmannian slices. Mathematicians, especially Braden-Licata-Proudfoot-Webster, and physicists obser
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Joel Kamnitzer: Symplectic duality and (generalized) affine Grassmannian slices
Abstract: Under the geometric Satake equivalence, slices in the affine Grassmannian give a geometric incarnation of dominant weight spaces in representations of reductive groups. These affine Grassmannian slices are quantized by algebras known as truncated shifted Yangians. From this persp
From playlist SMRI Algebra and Geometry Online
Find the Limit of a Function of Two Variables: Factor Difference of Squares
This video explains how to determine a limit of a function of two variables by using algebraic techniques.
From playlist Limits of Functions of Two Variables
Pavel Safronov: Quantum character varieties at roots of unity
Abstract: Character varieties of closed surfaces have a natural Poisson structure whose quantization may be constructed in terms of the corresponding quantum group. When the quantum parameter is a root of unity, this quantization carries a central subalgebra isomorphic to the algebra of fu
From playlist Algebraic and Complex Geometry