Sep

06

Everyone welcome. Refreshments will be served in the Math Lounge before the exam. Departmental PhD Thesis Exam ---------------------------- Monday, September 12, 2011, 1-2 p.m., in BA 6183, 40 St George Street PhD Candidate: Franklin Vera Pacheco PhD Advisor: Edward Bierstone Thesis Title: Resolution of singularities of pairs preserving semi-simple normal crossings https://sites.google.com/site/franklinvp/thesis Thesis Abstract: A pair (X,D) of an algebraic variety X and a Weil divisor D on it is said to be semi simple-normal crossings ("semi-snc") at $a\in X if X is simple normal crossings at a and D is the restriction to X of a (not necessarily reduced) hypersurface that is simple normal crossings with respect to X. We construct a composition of blowings-up f: X' -> X such that the transformed pair (X',D') is everywhere semi-simple normal crossings and f is an isomorphism over the semi-simple normal crossings points of (X,D).

## no comment as of now