Talk page

Title:
Marked singularities, their moduli spaces, distinguished bases and Stokes regions Part II

Speaker:
Claus Hertling

Abstract:
The first part of the talk is on a global study of mu-constant families of holomorphic function germs with isolated singularities. Some new data are defined and discussed, mu-constant monodromy groups, marked singularities, their global moduli spaces, and a global Torelli type conjecture for their Brieskorn lattices. The second part of the talk is on universal unfoldings, Brieskorn lattices at semisimple points, their Stokes data and distinguished bases, and a global Lyashko-Looijenga map. For the simple singularities (by work of Looijenga and Deligne 73/74) and the simple elliptic singularities (joint work with C. Roucairol 18) this leads to an understanding of a certain global base space as an atlas of Stokes data.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5999

Workshop:
Simons- Program: The Stokes Phenomenon and its applications in Mathematics and Physics