Mark W. McConnell: Computing Hecke operators for cohomology of arithmetic subgroups of SL_n(Z)
Abstract: We will describe two projects. The first which is joint with Avner Ash and Paul Gunnells, concerns arithmetic subgroups Γ of G=SL_4(Z). We compute the cohomology of Γ∖G/K, focusing on the cuspidal degree H^5. We compute a range of Hecke operators on this cohomology. We fi Galois
From playlist Number Theory
Abstract Algebra | The notion of a subgroup.
We present the definition of a subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
Abstract Algebra - 11.1 Fundamental Theorem of Finite Abelian Groups
We complete our study of Abstract Algebra in the topic of groups by studying the Fundamental Theorem of Finite Abelian Groups. This tells us that every finite abelian group is a direct product of cyclic groups of prime-power order. Video Chapters: Intro 0:00 Before the Fundamental Theorem
From playlist Abstract Algebra - Entire Course
An Introduction To Group Theory
I hope you enjoyed this brief introduction to group theory and abstract algebra. If you'd like to learn more about undergraduate maths and physics make sure to subscribe!
From playlist All Videos
Abstract Algebra | The third isomorphism theorem for groups.
We prove the third isomorphism theorem for groups. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Nigel Higson: Isomorphism conjectures for non discrete groups
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture" I shall discuss aspects of the C*-algebraic version of the Farrell-Jones conjecture (namely the Baum-Connes conjecture) for Lie groups and p-adic groups. The conj
From playlist HIM Lectures: Junior Trimester Program "Topology"
A derived Hecke algebra in the context of the mod pp Langlands program -Rachel Ollivier
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: A derived Hecke algebra in the context of the mod pp Langlands program Speaker: Rachel Ollivier Affiliation: University of British Columbia Date: November 8, 2017 For more videos, please visit
From playlist Mathematics
Hecke Endomorphism Algebras, Stratification, finite groups of Lie type, and ı-quantum algebras
Recorded for UVa Conference Presented by Jie Du (joint work with B. Marshall and L. Scott)
From playlist Pure seminars
Ramla Abdellatif - Iwahori - Hecke algebras and hovels for split Kac - Moody groups
Let F be a non-archimedean local field and G be the group of F-rational points of a connected reductive group defined over F. The study of (complex smooth) representations of G imply various tools coming from different nature. These include in particular induction functors, Hecke al
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Geometric Categorifications of the Hecke Algebra - Laura Rider
2021 Women and Mathematics Colloquium Topic: Geometric Categorifications of the Hecke Algebra Speaker: Laura Rider Affiliation: University of Georgia Date: May 26, 2021 In the first part of this talk, I'll explain a geometric categorification of the Hecke algebra in terms of perverse sh
From playlist Mathematics
New developments in the theory of modular forms... - 9 November 2018
http://crm.sns.it/event/416/ New developments in the theory of modular forms over function fields The theory of modular forms goes back to the 19th century, and has since become one of the cornerstones of modern number theory. Historically, modular forms were first defined and studied ov
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Haluk SENGUN - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 4
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
The Set of all Elements of Order 2 with the Identity is a Subgroup of an Abelian Group Proof
The Set of all Elements of Order 2 with the Identity is a Subgroup of an Abelian Group Proof
From playlist Abstract Algebra
