SMRI Seminar: Parusinski -- SMRI Seminar: Recent development in stratification theory: arc-wise analytic and bi-Lipschitz stratification

Speaker: Adam Paruskinski
Title: Recent development in stratification theory: arc-wise analytic and 
bi-Lipschitz stratification.
Abstract: I will give an informal introduction to recent constructions of bi-Lipschitz
 and arc-wise analytic trivializations of families of complex (or real) analytic (or
 algebraic) singularities.  They both strengthen considerably Whitney’s (a) and (b) 
regularity conditions. First I will provide general introduction to the equisingularity 
problem, stratifying conditions and continuous moduli.  Then I will motivate and present
 our results and some applications including Whitney’s fibering conjecture.   

Based on joint work with Laurentiu Paunescu.