Sporadic groups | Moonshine theory | Group theory

Monstrous moonshine

In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular, the j function. The term was coined by John Conway and Simon P. Norton in 1979. The monstrous moonshine is now known to be underlain by a vertex operator algebra called the moonshine module (or monster vertex algebra) constructed by Igor Frenkel, James Lepowsky, and Arne Meurman in 1988, which has the monster group as its group of symmetries. This vertex operator algebra is commonly interpreted as a structure underlying a two-dimensional conformal field theory, allowing physics to form a bridge between two mathematical areas. The conjectures made by Conway and Norton were proven by Richard Borcherds for the moonshine module in 1992 using the no-ghost theorem from string theory and the theory of vertex operator algebras and generalized Kac–Moody algebras. (Wikipedia).

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Monstrous moonshine

This is an expository talk on the monstrous moonshine conjectures about the monster simple group in mathematics.

From playlist Math talks

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Richard Creates His Best Moonshine Yet! | Moonshiners

Stream Moonshiners on discovery+ ► https://www.discoveryplus.com/show/moonshiners #Moonshiners #Moonshine #Discovery Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery We're on Instagram! https://instagram.com/Discovery Joi

From playlist Moonshiners

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Building a Huge 1000-Gallon Still! | Moonshiners

Stream Moonshiners on discovery+ ► https://www.discoveryplus.com/show/moonshiners #Moonshiners #Moonshine #DiscoveryChannel Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery We're on Instagram! https://instagram.com/Discove

From playlist Moonshiners

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Climax Moonshine Is A 3-Generation Operation

#Moonshiners | Tuesdays 9p Tim has always wanted to pass down his moonshining legacy to his son. Thanks to a partnership with Chuck, he will be able to do that legally. Full Episodes Streaming FREE: https://discovery.com/tv-shows/moonshiners/ Subscribe to Discovery: http://bit.ly/Subscrib

From playlist Moonshiners

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The Secrets of Moonshine Are Found in the Mash

This season, we saw some criticism of Tim Smith's mash. But as Tim explains, most moonshiners are simply used to seeing mash made from one type of grain, which makes the mash look a certain color. Every Moonshiner has his or her own special recipe. | For more Moonshiners, visit http://dsc.

From playlist Moonshiners

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Ingredients | Moonshiners

Moonshine is made from a delicate balance of water, corn and sugar.

From playlist Moonshiners

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Holiday Feasts with a Side of Moonshine | Christmas With the Moonshiners

Preparing the perfect Christmas feast is an important part of every holiday season. We're celebrating the most memorable feasts - Moonshiner style. Stream Full Episodes of Moonshiners: https://www.discovery.com/tv-shows/moonshiners/ Subscribe to Discovery: http://bit.ly/SubscribeDiscover

From playlist Moonshiners

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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

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Moonshine - 1 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

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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

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Tathagata Basak: A monstrous(?) complex hyperbolic orbifold

I will report on progress with Daniel Allcock on the ”Monstrous Proposal”, namely the conjecture: Complex hyperbolic 13-space, modulo a particular discrete group, and with orbifold structure changed in a simple way, has fundamental group equal to (MxM)(semidirect)2, where M is the Monster

From playlist Topology

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Welcome - David Nirenberg Akshay Venkatesh

Celebration In Honor of the Frank C. and Florence S. Ogg Professorship Topic: Welcome Speakers: David Nirenberg Akshay Venkatesh Affiliation: Director and Leon Levy Professor, Institute for Advanced Study; Robert and Luisa Fernholz Professor, Institute for Advanced Study Date: October 13,

From playlist Mathematics

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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

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Guide to 'Shine: Bootlegging Basics | Moonshiners

Tim explains exactly what a bootlegger is and what makes their work so risky. | For more Moonshiners, visit http://dsc.discovery.com/tv-shows/moonshiners/#mkcpgn=ytdsc1 Subscribe to Discovery! | http://www.youtube.com/subscription_center?add_user=discoverynetworks Watch full episodes! |

From playlist Moonshiners

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GT23. Composition and Classification

Abstract Algebra: We use composition series as another technique for studying finite groups, which leads to the notion of solvable groups and puts the focus on simple groups. From there, we survey the classification of finite simple groups and the Monster group.

From playlist Abstract Algebra

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Questions and Answers 1

This is an experimental video where I give answers to the (mostly) mathematical questions asked by viewers.

From playlist Math talks

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Mimosa Moonshine?! Mike's New Experimental Recipe! | Moonshiners

Stream Moonshiners on discovery+ ► https://www.discoveryplus.com/show/moonshiners #Moonshiners #Moonshine #Discovery Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery We're on Instagram! https://instagram.com/Discovery Joi

From playlist Moonshiners

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Sporadic groups

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

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The Forbidden Liquor | Moonshiners

Moonshine seems to be so desired because it is the forbidden liquor. "You're not supposed to have it." For more, visit http://dsc.discovery.com/#mkcpgn=ytdsc1

From playlist Moonshiners

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