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)

Arthur Wang Organizer's Page

Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang, Rick Falk Organizer's Page

Xiaojun Huang, Jian Song, Sagun Chanillo

Pranjal Awasthi, Shubhangi Saraf Organizer's Page

Jeffry Kahn, Bhargav Narayanan, Abigail Raz Organizer's Page

Bryan Ek, Doron Zeilbrger Organizer's Page

Paul Feehan, Manousos Maridakis, Natasa Sesum seminar webpage

Jason Saied, Corrine Yap Organizer's Page

Erik De Amorim Organizer's Page

Yonah Biers-Ariel Organizer's Page

Katie McKeon Organizer's Page

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

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

Grigor Sargsyan seminar website

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

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis

Matthew C Welsh

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

Stephen D. Miller

Matthew Charnley Organizer's Page

Feng Luo, Xiaochun Rong, Hongbin Sun Organizer's page

Alejandro Ginory Organizer's Page

Borisov, Diaconescu, Tarasca, Woodward

Organizer: Vladimir Retakh Organizer's page

Claire Burrin, Amita Malik, Kei Nakamura

M. Lienert seminar webpage

- Show events from all categories

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

*Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.*

Department of Mathematics
Rutgers University Hill Center - Busch Campus 110 Frelinghuysen Road Piscataway, NJ 08854-8019, USA Phone: +1.848.445.2390 Fax: +1.732.445.5530 |