# Seminars & Colloquia Calendar

## Cyclic Orbifolds of the Leech Lattice Vertex Operator Algebra

#### Sven Moeller, Rutgers

Location: ** Hill 705**

Date & time: Friday, 09 March 2018 at 12:00PM - 1:00PM

Abstract: Recent results have established that the weight-one space of a (suitably regular) holomorphic VOA of central charge 24 is one of 71 Lie algebras (Schellekens' list) and all of these cases have now been constructed in a joint effort by many authors. The main tool for constructing these VOAs is the orbifold construction, which we established for arbitrary cyclic groups of automorphisms.

In analogy to the construction of all the Niemeier lattices from the Leech lattice (via its deep holes) we conjecture that all 71 cases on Schellekens' list can be obtained in a uniform way as cyclic orbifold constructions from the Leech lattice VOA.

In an ongoing effort we have constructed 63 cases so far. If all 71 cases could be constructed from the Leech lattice VOA in this way, this would greatly help to gain a more conceptual understanding of Schellekens' list. Moreover, this provides evidence for the effectiveness of cyclic orbifolding. (We do believe however that the orbifold theory can and should be extended to more general, in particular non-abelian, groups.)

(This is work in progress joint with Nils Scheithauer)

Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage

Paul Feehan, Manousos Maridakis, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Corrine Yap Organizer's webpage

Edna Jones Organizer's webpage

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis

Brooke Ogrodnik website

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Claire Burrin seminar website

Stephen D. Miller

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Ebru Toprak, Organizer

Organizer: Luochen Zhao

James Holland; Organizer website

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