Seminars & Colloquia Calendar
Connections between Integral Sphere Packings and Quaternion Algebras
Arseniy Sheydvasser (Yale)
Location: Hill 525
Date & time: Tuesday, 17 April 2018 at 2:00PM - 3:00PM
We consider generalizations of the Apollonian circle packing known as crystallographic packings---specifically, we give the problem a number theoritic twist by requiring the bends of spheres to be integers, and we call packings satisfying this restriction integral. While it has been shown that there exist infinitely many integral crystallographic circle packings, the same question for higher dimensional packings is at present unknown. In this talk, we'll show how to use special sub-rings of rational quaternion algebras originally studied by Scharlau in the 1970s to construct examples of integral crystallographic sphere packings.
Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page
Brooke Logan
Wujun Zhang Organizer's webpage
Ziming Shi, Sagun Chanillo, Xiaojun Huang, Chi Li, Jian Song Seminar website Old seminar website
Swastik Kopparty, Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Brooke Ogrodnik, Website
Robert Dougherty-Bliss and Doron Zeilberger --> homepage
Paul Feehan, Daniel Ketover, 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
Quentin Dubroff Organizer's webpage
James Holland; Organizer website
Edna Jones Organizer's webpage
Brooke Ogrodnik website
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page
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 Organizer's Webpage
Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website
Stephen D. Miller
Brooke Ogrodnik, Website
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
Fioralba Cakoni Seminar webpage
Ebru Toprak, Organizer
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