Program
An introduction to quantum calculus and its applications to 3-dimensional TQFT
Student No.:50
Time:Tue/Thu 10:10-12:00, 2015-05-19 ~ 2015-06-11
Instructor:Feng Luo  [Rutgers University]
Place:Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2015-5-19
Ending Date:2015-6-11

The lecture on June 4 will be change to June 1 13:00-14:50 at conference room 1, floor 1.

 

Description:

 

This is an introduction to quantum calculus (or q-calculus) and its applications to low-dimensional topology. 

 

Quantum calculus is a methodology comparable to the usual study of calculus but is centered on the idea of deriving q-analogous results without the use of limits. The main tool is the q-derivative. Q-integral and some of the classical work of Euler, Gauss, Jacobi and Jackson will also be covered.

 

The lecture will be based on the book by Victor Kac, Pokman Cheung, Quantum calculus, Universitext, Springer-Verlag, 2002. The later part of the lecture will be on some topological quantum field theories on 3-manifolds derived from q-calculus.

 

 

Reference:

 

Victor Kac, Pokman Cheung, Quantum calculus, Universitext, Springer-Verlag, 2002

R. Kashaev, F. Luo, G. Vartanov: A TQFT of Turaev-Viro type on shaped triangulations, 2012. arXiv:1210.8393