Harnack Inequalities

Harnack Inequalities: From Poincare Conjecture to Matrix Determinant

Speaker: Fuzhen Zhang, Ph.D., Professor of Mathematics
Date: Wednesday, April 5
Time:12:10-12:50 p.m.
Venue: Mailman-Hollywood Building | Second Floor Auditorium
 
ABSTRACT:  With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman’s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung’s inequality of Harnack type and study the equality case.
 
SPEAKER BIO:  Fuzhen Zhang received his Ph.D. from University of California-Santa Barbara (UCSB). He is currently a full professor of Nova Southeastern University in Fort Lauderdale, Florida, USA.
Dr. Zhang has published about 130 math related items, including 70 research articles and 3 books (Linear Algebra: Challenging Problems for Students, Johns Hopkins University Press. Matrix Theory, Springer. The Schur Complement and Its Applications (editor), Springer). He has been on editorial boards of several mathematical journals. With 80 talks on mathematics worldwide, he was an Invited Plenary Speaker for the 18th International Linear Algebra Society (ILAS) Conference (Rode Island, USA, June 2013), Invited Speaker for the 22nd International Workshop on Matrices and Statistics (Fields Institute, University of Toronto, Canada, August 2013), and Plenary Speaker at the conference on Recent Advances in Linear Algebra and Graph Theory (University of Tennessee - Chattanooga, March, 2016). He has served as Chair of the Scientific Organizing Committee of the serial International Conference on Matrix analysis and Applications. He has been a guest professor of some Chinese universities, including Shanghai University.
Dr. Zhang received FCAS Distinguished Professor Award in 2013. He is one of the founders of the Chinese Association of Science, Education, and Culture (CASEC, 1994). His hobbies are: Playing basketball, Sing & Dancing, and Writing essays and poem in Chinese.
 
EVENT WEBSITE: http://nsuworks.nova.edu/mathematics_colloquium/ay_2016-2017/events/12
 
Winter 2017 Schedule
*NEW* Monday, April 17 at noon
Gary Cravens, M.D.
Associate Professor of Biomedical Informatics at NSU
Mailman Auditorium, Mailman-Hollywood Building, NSU Main Campus
Reception in the Mailman-Hollywood Building Math Dept. Suite 2nd floor at 11:30 AM
 
Wednesday, April 19 at noon
David Quesada, Ph.D.
Associate Professor of Physics at St. Thomas University
Mailman Auditorium, Mailman-Hollywood Building, NSU Main Campus
Reception in the Mailman-Hollywood Building Math Dept. Suite 2nd floor at 11:30 AM
 
You can always find the most up-to-date information at the MCS website: http://nsuworks.nova.edu/mathematics_colloquium/