Title: Semismooth Newton Methods for Shape-Preserving Interpolation, 
       Option Price and Semi-Infinite Programs


				 Liqun Qi
		     Department of Applied Mathematics
		   The Hong Kong Polytechnic University
		        Hung Hom, Kowloon, Hong Kong
			Email:  maqilq@polyu.edu.hk


Abstract:  
Since 2001, there is a development of semismooth Newton methods for solving 
shape-preserving interpolation, option price and semi-infinite programs.   
This makes the territory of the semismooth Newton method beyond Nonlinear 
Complementarity (NCP) and Variational Inequality (VI) problems. Instead of 
NCP functions, now the analysis of semismoothness involves integral functions.
It also stimulates the discussion on almost smooth functions. I hope that 
this talk may attract your interests in this new research frontier.