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Title:
Marked singularities, their moduli spaces, distinguished bases and Stokes regions
Speaker:
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.
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