Andrew Putman - The Steinberg representation is irreducible
The Steinberg representation is a topologically-defined representation of groups like GL_n(k) that plays a fundamental role in the cohomology of arithmetic groups. The main theorem I will discuss says that for infinite fields k, the Steinberg representation is irreducible. For finite field
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Representations of Finite Groups | Definitions and simple examples.
We define the notion of a representation of a group on a finite dimensional complex vector space. We also explore one and two dimensional representations of the cyclic group Zn. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.mich
From playlist Representations of Finite Groups
Symposium on Jonny Steinberg’s “The Number”
The Number (2004) established Jonny Steinberg as one of the most insightful commentators on South African politics and history of his generation. An intensive exploration of prison and prison gangs before, during, and after Apartheid through the life of Magadien Wentzel, a lifelong crimina
From playlist The MacMillan Center
Harold Steinacker - Covariant Cosmological Quantum Space-Time
Covariant Cosmological Quantum Space-Time: Higher-spin and Gravity in the IKKT Matrix Model https://indico.math.cnrs.fr/event/4272/attachments/2260/2717/IHESConference_Harold_STEINACKER.pdf
From playlist Space Time Matrices
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
Jonny Steinberg - Talks About Nelson and Winnie Mandela’s Marriage
Jonny Steinberg is a South African writer and scholar from the University of Oxford. He is at Yale as a visiting scholar in the Council on African Studies at the MacMillan Center. Professor Steinberg is the author of several books that explore South African people and institutions in the w
From playlist The MacMillan Report
Friedman Numbers - Numberphile
Professor Ed Copeland on Friedman Numbers - more below. More links & stuff in full description below ↓↓↓ Thanks to these supporters: Herschal Sanders --- Alex Bozzi --- OK Merli --- Joshua Wilson/Andrew Touchet --- Lê --- plusunim --- Jordan White --- Micky Baeza --- Tracy Parry And of c
From playlist Numberphile Videos
Portraits of Power - Hitler - The Road to Revenge Narrated by Henry Fonda Adolf Hitler (20 April 1889 -- 30 April 1945) was an Austrian-born German politician and the leader of the Nazi Party (German: Nationalsozialistische Deutsche Arbeiterpartei (NSDAP); National Socialist German Worker
From playlist Portraits of Power - Those who shaped the Twentieth Century
Representations of finite groups of Lie type (Lecture - 3) by Dipendra Prasad
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Blocks and Defect Groups of SLn - Nate Harman
SL2 Seminar Topic: Blocks and Defect Groups of SLn Speaker: Nate Harman Affiliation: Member, School of Mathematics Date: November 10, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 10
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 1
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Peter PATZT - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 4
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Henniart: Classification des représentations admissibles irréductibles modulo p...
Recording during the thematicmeeting : "Algebraic and Finite Groups, Geometry and Representations. Celebrating 50 Years of the Chevalley Seminar " the September 23, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this
From playlist Partial Differential Equations
Representations of finite groups of Lie type (Lecture 2) by Dipendra Prasad
PROGRAM : GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fun
From playlist Group Algebras, Representations And Computation
The K-ring of Steinberg varieties - Pablo Boixeda Alvarez
Geometric and Modular Representation Theory Seminar Topic: The K-ring of Steinberg varieties Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: February 03, 2021 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Symbolism, Depth, & Romanticism (Isaiah Berlin 1965)
Isaiah Berlin at his very best. This comes from his brilliant series on Romanticism, which you should definitely check out: https://www.youtube.com/playlist?list=PLhP9EhPApKE_9uxkmfSIt2JJK6oKbXmd- Isaiah Berlin Overdose: https://www.youtube.com/playlist?list=PLhP9EhPApKE-z227nn_-_PKw5lGfo
From playlist Social & Political Philosophy
Arno Kret - Galois representations for the general symplectic group
In a recent preprint with Sug Woo Shin (https://arxiv.or/abs/1609.04223) I construct Galois representations corresponding for cohomological cuspidal automorphic representations of general symplectic groups over totally real number fields under the local hypothesis that there is
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.