This is a historical talk giving my recollections of how vertex algebras were discovered. It was requested by Michael Penn for his series of videos on vertex algebras https://www.youtube.com/playlist?list=PL22w63XsKjqyx2FFUywi_mz91Jtih52yX
From playlist Math talks
A gentle description of a vertex algebra.
Working from the notions of associative algebras, Lie algebras, and Poisson algebras we build the idea of a vertex algebra. We end with the proper definition as well as an "intuition" for how to think of the parts. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation
From playlist Vertex Operator Algebras
This is an expository talk on the monstrous moonshine conjectures about the monster simple group in mathematics.
From playlist Math talks
Some reasons why vertex algebras are interesting.
We give some reasons why anyone would want to study vertex algebras. We include their connection to group theory, number theory, and mathematical physics. More VOAs on youtube: https://www.youtube.com/c/seandownes/playlists Please Subscribe: https://www.youtube.com/michaelpennmath?sub_co
From playlist Vertex Operator Algebras
Victor Kac, Lecture II - 11 December 2014
Victor Kac (MIT) - Lecture II http://www.crm.sns.it/course/4433/ Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE Minicourse of the session "Vertex algebras, W-algebras, and applications" abstract: Preliminary Course Outline: (1) Introduction to v
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
The Genesis of Vertex Algebras
We have a guest for this very special video. Richard Borcherds (Berkeley) has contributed a video regarding the history of vertex algebras. This video was also posted on his channel and is included here as well with permission and to increase its reach. Subscribe to his channel: https:/
From playlist Vertex Operator Algebras
Victor Kac, Lecture I - 9 December 2014
Victor Kac (MIT) - Lecture I http://www.crm.sns.it/course/4433/ Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE Minicourse of the session "Vertex algebras, W-algebras, and applications" abstract: Preliminary Course Outline: (1) Introduction to ve
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
Math talk: Sporadic groups and number theory
This talk was the introduction to the Berkeley graduate number theory discussion seminar on 2020-10-28, and the aim was to explain why number theorists might be interested in sporadic simple groups. We give a brief summary of monstrous moonshine relating sporadic groups to modular functi
From playlist Math talks
Martina Lanini, Introduction - 9 December 2014
Minicourses of the session "Vertex algebras, W-algebras, and applications" (2014) http://www.crm.sns.it/event/321/speakers.html?page=1#title INdAM Intensive research period Perspectives in Lie Theory Session 1: Vertex algebras, W-algebras, and applications Mini-courses Tomoyuki Arakawa
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans
From playlist Math talks
Claudia Pinzari: "Weak quasi-Hopf algebras associated to Verlinde fusion categories"
Actions of Tensor Categories on C*-algebras 2021 "Weak quasi-Hopf algebras associated to Verlinde fusion categories" Claudia Pinzari - Sapienza Università di Roma Abstract: Unitary modular fusion categories arise in various frameworks. After a general overview on unitarity, we discuss th
From playlist Actions of Tensor Categories on C*-algebras 2021
The vector spaces for vertex algebras.
We give some examples of the types of vector spaces it is important to be comfortable with in order to study vertex algebras. We look at three main example, a polynomial ring in infinitely many variables, the exterior algebra of infinitely many variables, and the universal enveloping algeb
From playlist Vertex Operator Algebras
Moonshine - 2 by Suresh Govindarajan
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Tomoyuki Arakawa, Lecture IV - 13 January 2015
Tomoyuki Arakawa (Kyoto University) - Lecture IV http://www.crm.sns.it/course/4434/ Introduction to W-algebras and their representation theory Minicourse of the session "Vertex algebras, W-algebras, and applications" abstract: Preliminary Course Outline: (1) Elementary introduction to
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
Can't you just feel the Moonshine? - Ken Ono (Emory University) [2017]
Stony Brook Mathematics Colloquium Video Can't you just feel the Moonshine? Ken Ono, Emory University March 30, 2017 http://www.math.stonybrook.edu/Videos/Colloquium/video.php?f=20170330-Ono
From playlist Number Theory
Victor Kac, Lecture III - 16 December 2014
Victor Kac (MIT) - Lecture III http://www.crm.sns.it/course/4433/ Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE Minicourse of the session "Vertex algebras, W-algebras, and applications" abstract: Preliminary Course Outline: (1) Introduction to
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
Victor Kac, Lecture V - 14 January 2015
Victor Kac (MIT) - Lecture V http://www.crm.sns.it/course/4433/ Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE Minicourse of the session "Vertex algebras, W-algebras, and applications" abstract: Preliminary Course Outline: (1) Introduction to ve
From playlist Vertex algebras, W-algebras, and applications - 2014-2015
A guide to moonshine - John Duncan
Celebration In Honor of the Frank C. and Florence S. Ogg Professorship Topic: A guide to moonshine Speaker: John Duncan Affiliation: Associate Professor, Emory University and Research Fellow, Academia Sinica Date: October 13, 2022 J. Duncan will explain how the works of Andrew Ogg—especi
From playlist Mathematics