Complex analysis | Differential geometry | Homotopy theory | Mathematical analysis | Algebraic topology
In mathematics, monodromy is the study of how objects from mathematical analysis, algebraic topology, algebraic geometry and differential geometry behave as they "run round" a singularity. As the name implies, the fundamental meaning of monodromy comes from "running round singly". It is closely associated with covering maps and their degeneration into ramification; the aspect giving rise to monodromy phenomena is that certain functions we may wish to define fail to be single-valued as we "run round" a path encircling a singularity. The failure of monodromy can be measured by defining a monodromy group: a group of transformations acting on the data that encodes what happens as we "run round" in one dimension. Lack of monodromy is sometimes called polydromy. (Wikipedia).
What is the definition of a monomial and polynomials with examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
Geometry of Frobenioids - part 2 - (Set) Monoids
This is an introduction to the basic properties of Monoids. This video intended to be a starting place for log-schemes, Mochizuki's IUT or other absolute geometric constructions using monoids.
From playlist Geometry of Frobenioids
Monodromy of nFn−1 hypergeometric functions and arithmetic groups I - T.N. Venkatara
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Monodromy of nFn−1 hypergeometric functions and arithmetic groups II - Venkataramana
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From playlist Mathematics
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From playlist How to Multiply Polynomials
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From playlist Mathematics
Thin groups as monodromy groups, Part I - Jordan Ellenberg (University of Wisconsin-Madison)
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From playlist How to Multiply Polynomials
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From playlist How to Multiply Polynomials
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From playlist How to Multiply Polynomials
Will Sawin (ETH Zürich) - Trace functions and special functions [2017]
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From playlist Mathematics
Umberto Zannier - Torsion values for sections in abelian schemes and the Betti map
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R. Gutierrez - Quaternionic monodromies of the Kontsevich–Zorich cocycle
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From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
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Local-Global Compatibility and Monodromy - Ana Caraiani
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Özlem Ejder, Dynamical Belyi maps
VaNTAGe seminar, September 14, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
The Generalized Ramanujan Conjectures and Applications (Lecture 2) by Peter Sarnak
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How to Multiply a Monomial by a Trinomial Polynomial Product
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VaNTAGe seminar, October 12, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces