Alina Ostafe: Dynamical irreducibility of polynomials modulo primes
Abstract: In this talk we look at polynomials having the property that all compositional iterates are irreducible, which we call dynamical irreducible. After surveying some previous results (mostly over finite fields), we will concentrate on the question of the dynamical irreducibility of
From playlist Number Theory Down Under 9
RT8.3. Finite Groups: Projection to Irreducibles
Representation Theory: Having classified irreducibles in terms of characters, we adapt the methods of the finite abelian case to define projection operators onto irreducible types. Techniques include convolution and weighted averages of representations. At the end, we state and prove th
From playlist Representation Theory
Representation theory: Orthogonality relations
This lecture is about the orthogonality relations of the character table of complex representations of a finite group. We show that these representations are unitary and deduce that they are all sums of irreducible representations. We then prove Schur's lemma describing the dimension of t
From playlist Representation theory
How to use the discriminat to describe your solutions
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T
From playlist Discriminant of a Quadratic Equation
RT7.3. Finite Abelian Groups: Convolution
Representation Theory: We define convolution of two functions on L^2(G) and note general properties. Three themes: convolution as an analogue of matrix multiplication, convolution with character as an orthogonal projection on L^2(G), and using using convolution to project onto irreduci
From playlist Representation Theory
RT6. Representations on Function Spaces
Representation Theory: We note how to transfer a group action of a group G on a set X to a group action on F(X), the functions on X. Because F(X) is a vector space, we obtain a representation of the group, and we can apply previous techniques. In particular, the group acts on itself in
From playlist Representation Theory
Ex: Determinant of a 2x2 Matrix
This video provides two examples of calculating a 2x2 determinant. One example contains fractions. Site: http://mathispower4u.com
From playlist The Determinant of a Matrix
Determine and describe the discriminant
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T
From playlist Discriminant of a Quadratic Equation
Non-Vanishing Modulo p of Values of a Modular Form at CM Points (Lecture 2)Â ) by Haruzo Hida
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Schemes 14: Irreducible, reduced, integral, connected
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We discuss the 4 properties of schemes: reduced, irreducible, integral, and connected.
From playlist Algebraic geometry II: Schemes
Title: Computing real solutions to systems of polynomial equations using numerical algebraic geometry Symbolic-Numeric Computing Seminar
From playlist Symbolic-Numeric Computing Seminar
CTNT 2020 - Moduli of Galois Representations - David Savitt
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Commutative algebra 13 (Topology of Spec R)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we discuss the topology of the spectrum Spec R of a ring, showing that it is compact, sometimes connected, an
From playlist Commutative algebra
Nonlinear algebra, Lecture 9: "Representation Theory", by Mateusz Michalek
This is the ninth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Hasse principle for quadrics over global function fields - Zhiya Tian
Zhiyu Tian March 9, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
A Tameness Criterion for Generic Modular Mod p Galois Representations by Daniel Le
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (ONLINE) ORGANIZERS Debashish Chowdhury (IIT Kanpur), Ambarish Kunwar (IIT Bombay) and Prabal K Maiti (IISc, Bengaluru) DATE & TIME 07 December 2020 to 18 December 2020 VENUE Online 'Fluctuation-and-noise' are themes tha
From playlist Recent Developments Around P-adic Modular Forms (Online)
Structure of A-packets for p-adic symplectic/orthogonal groups by Bin Xu
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
What is the discriminant and what does it mean
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc
From playlist Discriminant of a Quadratic Equation | Learn About
Yanli Song: K-theory of the reduced C*-algebra of a real reductive Lie group
Talk by Yanli Song in Global Noncommutative Geometry Seminar (Americas) on January 28, 2022 in https://globalncgseminar.org/talks/tba-23/
From playlist Global Noncommutative Geometry Seminar (Americas)