Location: ** Hill 705**

Date & time: Monday, 23 January 2017 at 2:00PM - 2:11PM

Design matrices are sparse matrices in which the supports of different columns intersect in a few positions. Such matrices come up naturally when studying problems involving point sets with many collinear triples. In this work we consider design matrices with block (or matrix) entries. Our main result is a lower bound on the rank of such matrices, extending the bounds proven in [BDWY12, DSW14] for the scalar case. As a result we obtain several applications in combinatorial geometry. The main application involves extending the notion of combinatorial rigidity from pairwise distance constraints to three wise collinearities.The main technical tool in the proof of the rank bound is an extension of the technique of matrix scaling to the setting of block matrices. We generalize the definition of doubly stochastic matrices to matrices with block entries and derive sufficient conditions for a doubly stochastic scaling to exist.Joint work with Ankit Garg, Rafael Oliveira and Jozsef Solymosi

R. Shapiro Organizer's Page

Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

Xiaojun Huang, Jian Song, Sagun Chanillo

Pranjal Awasthi, Shubhangi Saraf Organizer's Page

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

Bryan Ek, Doron Zeilberger home page

Paul Feehan, Manousos Maridakis, Natasa Sesum seminar webpage

Borisov, Diaconescu, Tarasca, Woodward

Alejandro Ginory Organizer's Page

Louis Gaudet, Yael Davidov Organizer's webpage

Erik De Amorim Organizer's Page

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 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

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

Matthew Charnley Organizer's Page

Hongbin Sun Organizer's page

Organizer: Vladimir Retakh Organizer's 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 |