talk: Quantum plane and plucking polynomial of rooted trees, 1pm 4/7

UMBC CSEE Seminar Series

Quantum plane and plucking polynomial of rooted trees

Józef H. Przytycki
George Washington University

1:00-2:00pm, Friday, 7 April 2017, ITE 231

We describe here a new invariant of rooted trees and following up state sum invariant of pointed graphs. We argue that the invariant is interesting on it own, and that it has connections to knot theory and homological algebra. Another reason that we propose this invariant is that we deal here with an elementary, interesting new mathematics and after the talk everybody can take part in developing the topic, inventing new results and connections to other disciplines of mathematics (and likely statistical mechanics and combinatorial biology). The staring point of the talk is the well known formula for $(x+y)^n$ in the quantum plane ($yx=qxy$).

Józef Henryk Przytycki is a mathematician specializing in the fields of knot theory and topology.  A native of Poland, Przytycki received a Master of Science degree in mathematics from Warsaw University in 1977 and, after emigrating to the United States, a Ph.D. in mathematics from Columbia University, where his advisor was Joan Birman. He is currently a professor of mathematics at George Washington University in Washington, DC. He has supervised nine Ph.D. students and has authored and co-authored many mathematical publications, including more than 100 research papers, 10 conference proceedings and 2 books.

Host: Samuel Lomonaco

Seminar Organizer: Tulay Adali

About the CSEE Seminar Series: The UMBC Department of Computer Science and Electrical Engineering presents technical talks on current significant research projects of broad interest to the Department and the research community. Each talk is free and open to the public. We welcome your feedback and suggestions for future talks.

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