Geometric group theory | Complex analysis | Homotopy theory
In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. A single covering map between spaces is therefore used to create a tower of coverings, by placing the covering over itself repeatedly. In terms of the Galois theory of covering spaces, this construction on spaces is expected to correspond to a construction on groups. The iterated monodromy group provides this construction, and it is applied to encode the combinatorics and symbolic dynamics of the covering, and provide examples of . (Wikipedia).
Monodromy of nFn−1 hypergeometric functions and arithmetic groups II - Venkataramana
Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups II We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the question
From playlist Mathematics
Monodromy of nFn−1 hypergeometric functions and arithmetic groups I - T.N. Venkatara
Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups I Abstract: We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the
From playlist Mathematics
Thin groups as monodromy groups, Part I - Jordan Ellenberg (University of Wisconsin-Madison)
Thin groups as monodromy groups Jordan Ellenberg University of Wisconsin – Madison We discuss various algebro-geometric contexts in which thin groups appear as monodromy groups attached to families of varieties over curves. http://www.msri.org/workshops/652/schedules/14578
From playlist Number Theory
Bernhard Reinke: Iterated monodromy groups and transcendental dynamics
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Dynamical Systems and Ordinary Differential Equations
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
Özlem Ejder, Dynamical Belyi maps
VaNTAGe seminar, September 14, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
Category Theory 10.2: Monoid in the category of endofunctors
Monad as a monoid in the category of endofunctors
From playlist Category Theory
Masha Vlasenko: Gamma functions, monodromy and Apéry constants
Abstract: In 1978 Roger Apéry proved irrationality of zeta(3) approximating it by ratios of terms of two sequences of rational numbers both satisfying the same recurrence relation. His study of the growth of denominators in these sequences involved complicated explicit formulas for both vi
From playlist Algebraic and Complex Geometry
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
David Roberts, Hurwitz Belyi maps
VaNTAGe seminar, October 12, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Some algebro-geometric aspects of limiting mixed Hodge structure - Phillip Griffiths
Phillip Griffiths Professor Emeritus, School of Mathematics December 16, 2014 This will be an expository talk, mostly drawn from the literature and with emphasis on the several parameter case of degenerating families of algebraic varieties. More videos on http://video.ias.edu
From playlist Mathematics
Thin monodromy and Lyapunov exponents, via Hodge theory - Simion Filip
Analysis Seminar Topic: Thin monodromy and Lyapunov exponents, via Hodge theory Speaker: Simion Filip Affiliation: Harvard University Date: November 15, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Sam Schiavone, Belyi map: computation and Data
VaNTAGe seminar, September 21, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Reducible fibers and monodromy of polynomial maps - Danny Neftin
Joint IAS/Princeton University Number Theory Seminar Topic: Reducible fibers and monodromy of polynomial maps Speaker: Danny Neftin Date: October 28, 2021 For a polynomial f∈ℚ[x], Hilbert's irreducibility theorem asserts that the fiber f−1(a) is irreducible over ℚ for all values a∈ℚ out
From playlist Mathematics
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Francis Brown - 4/4 Mixed Modular Motives and Modular Forms for SL_2 (\Z)
In the `Esquisse d'un programme', Grothendieck proposed studying the action of the absolute Galois group upon the system of profinite fundamental groups of moduli spaces of curves of genus g with n marked points. Around 1990, Ihara, Drinfeld and Deligne independently initiated the study of
From playlist Francis Brown - Mixed Modular Motives and Modular Forms for SL_2 (\Z)