Preliminary Announcement (December 1996): Mountains and Singularities 



            WORKING WEEK ON RESOLUTION OF SINGULARITIES  TIROL 1997



Objective:  Introducing young researchers and non experts to the field.
            Reflect on the state of current research. 
            Work out program and accents for future research.

Structure:  4 series of five hour classes, plus exercise sessions.
            Working groups.
            Problem session.
            Specified invited lectures.

Contents:   Alterations, semistability, 'weak' resolution. 
            Arithmetic aspects.
            Applications of these results.
            Historical account on resolution of singularities.
            Zariski's, Hironaka's and Abhyankar's approach.
            Characteristic p problems.
            Constructive resolution.
            Resolution techniques (valuations, standard bases, polyhedra, 
            toric resolution, Hironaka's game, etc).

Notes:      We hope to have preparatory notes as well as lecture notes.

Classes:    Jose Manuel Aroca (Valladolid)
            Bernard Teissier (Paris)
            Orlando Villamayor (Madrid)
            Dan Abramovich (Boston, to be confirmed)
            Frans Oort (Utrecht, to be confirmed)

Lectures:   Shreeram Abhyankar (Purdue)
            Heisuke Hironaka (JAMS)
            Josph Lipman (Purdue)

Date/place: September 6 - 14, 1997, Obergurgl, Tirol, Austria.

Scientific Committee: Herwig Hauser, Joseph Lipman, Frans Oort, Joseph 
            Steenbrink.

Organizer:  Herwig Hauser, Mathematisches Institut, Universitaet Innsbruck, 
            A-6020 Austria.

Sponsors:   Tyrolean Airways, Tiwag, Fremdenverkehrsverband Gurgl, Tirol Werbung.

Information: The first announcement is due at the end of March 1997. To get it 
            directly please send an e-mail message to blowup-tirol@uibk.ac.at, 
            subject 'mailing list', without text.

Restriction: The realization of the Working Week is subject to positive fund 
            raising.