Isaac Newton Institute for Mathematical Sciences

Singularity Theory

July to December 2000

Organisers: VI Arnold (Moscow and Parix IX), JW Bruce (Liverpool), V Goryunov (Liverpool), D Siersma (Utrecht)

Isaac Newton Institute for Mathematical Sciences

A NATO Advanced Study Institute

New developments in Singularity Theory

31 Jul - 11 Aug 2000

Timetable:

List of participants


Monday 31 July

09.00-09.45 Registration

09.45-10.45 CTC Wall (Liverpool)
The geometry of unfoldings I  More info

10.45-11.15 Coffee

11.15-12.15 A Parusinski (Angers)
Stratification theory and metric properties of analytic sets I  More info

12.40- . Lunch

14.00-15.00 GM Greuel, C Lossen (Kaiserslautern)
The geometry of families of singular curves I  More info

15.00-15.30 Tea

15.30-16.30 T Gaffney (Boston)
Equisingularity of complex sets and mappings I  More info


Tuesday 1 August

09.00-10.00 CTC Wall (Liverpool)
The geometry of unfoldings II  More info

10.00-10.30 Coffee

10.30-11.30 D Siersma (Utrecht)
Non-isolated singularities I  More info

11.45-12.30 D Trotman (Marseille)
Newton talk: Kuo-Verdier regularities, normal cones, and continuous
density

12.40- . Lunch

14.00-15.00 A Parusinski (Angers)
Stratification theory and metric properties of analytic sets II  More info

15.00-15.30 Tea

15.30-16.30 D Mond (Warwick)
Sandwiched triangles, stochastic matrices and the topology of the
space of explanations  More info

17.00- . Wine Reception


Wednesday 2 August

09.00-10.00 T Gaffney (Boston)
Equisingularity of complex sets and mappings II  More info

10.00-10.30 Coffee

10.30-11.30 D Siersma (Utrecht)
Non-isolated singularities II  More info

11.45-12.30 M Tibar (Lille)
Newton talk: Zariski-Lefschetz type theorems for non-generic pencils

12.40- . Lunch

14.00-15.00 G-M Greuel, C Lossen (Kaiserslautern)
The geometry of families of singular curves II  More info

15.00-15.30 Tea

15.30-16.30 I Luengo (Madrid)
Bifurcation and topology of meromorphic functions I


Thursday 3 August

09.00-10.00 J Damon (Chapel Hill)
Non-linear sections of complete intersections I  More info

10.00-10.30 Coffee

10.30-11.30 J Steenbrink (Nijmegen)
Hodge theoretic invariants of singularities I  More info

11.45-12.30 Y Drozd (Kiev)
Newton talk: Cohen-Macaulay modules over surface singularities

12.40- . Lunch

14.00-15.00 W Ebeling (Hannover)
Guest lecture: The Poincare' series of a quasihomogeneous surface
singularity

15.00-15.30 Tea

15.30-16.30 I Luengo (Madrid)
Bifurcation and topology of meromorphic functions II


Friday 4 August

09.00-10.00 J Damon (Chapel Hill)
Non-linear sections of complete intersections II  More info

10.00-10.30 Coffee

10.30-11.30 V Vassiliev (Steklov)
Topological invariants dual to singular sets I

11.45-12.30 S Ishii (Tokyo)
Newton talk: The geometric minimal model of an analytic space

12.40- . Lunch

14.00-15.00 J Steenbrink (Nijmegen)
Hodge theoretic invariants of singularities II  More info

15.00-15.30 Tea

15.30-16.30 A Szu"cs (Budapest)
Guest lecture: Applications of global theory of singularities


Monday 7 August

09.00-10.00 JP Brasselet (CNRS)
Singularities and non commutative geometry I  More info

10.00-10.30 Coffee

10.30-11.30 JW Bruce (Liverpool)
Classification of map-germs, and their applications I

11.45-12.30 B Totaro (Cambridge)
Newton talk: The elliptic genus of a singular variety

12.40- . Lunch

14.00-15.00 V Vassiliev (Steklov)
Topological invariants dual to singular sets II  More info

15.00-15.30 Tea

15.30-16.30 C Hertling (Bonn)
Guest lecture: Variance of the spectral numbers and Frobenius
manifolds


Tuesday 8 August

09.00-10.00 JW Bruce (Liverpool)
Classification of map-germs, and their applications II

10.00-10.30 Coffee

10.30-11.30 V Zakalyukin (Moscow SAI)
Singularities of contact with flags & their vanishing topology I  More info

11.45-12.30 A Fru"hbis-Kru"ger (Kaiserslautern)
Newton talk: Moduli spaces for space curve singularities

12.40- . Lunch

14.00-15.00 K Kurdyka (Chambery)
Proof of gradient conjecture of R. Thom

15.00-15.30 Tea

15.30-16.10 J Christophersen (Oslo)
Deforming Stanley-Reisner rings
(Room 1)

15.30-16.10 J Schu"rmann (Hamburg)
Thom-Sebastiani theorem for constructible sheaves
(Room 2)

16.20-17.00 K Houston (Leeds)
Local topology of maps C $^{2n}$ to C $^{3n}$
(Room 1)

16.20-17.00 O Neto (Lisboa)
On a class of representations of the fundamental group of the
complementary of a singular hypersurface (Room 2)


Wednesday 9 August

09.00-10.00 J Denef (Leuven)
Topological zeta functions and motivic integration I  More info

10.00-10.30 Coffee

10.30-11.30 JP Brasselet (CNRS)
Singularities and non commutative geometry II  More info

11.45-12.30 M Saia (Sao Carlos)
Newton talk: Newton filtration, graded algebras and ideals
(Room 1)

11.45-12.30 T Ekholm (Stanford)
Newton talk: Singularity formulas for Smale invariants of homotopy
spheres (Room 2)

12.40- . Lunch

14.00-15.00 Y Baryshnikov (Eindhoven)
Stokes sets and their relation to combinatorics, K-theory and some
other fields I

15.00-15.30 Tea

15.30-16.30 GM Greuel, A Fru"hbis-Kru"ger, C Lossen (Kaiserslautern)
Demonstration of "SINGULAR"


Thursday 10 August

09.00-10.00 V Zakalyukin (Moscow SAI)
Singularities of contact with flags and their vanishing topology II  More info

10.00-10.30 Coffee

10.30-11.30 J Denef (Leuven)
Topological zeta functions and motivic integration II  More info

11.45-12.30 R Rimanyi (Budapest)
Calculation of Thom polynomials for group actions

12.40- . Lunch

14.00-15.00 V Goryunov (Liverpool)
Unitary reflection groups related to functions with cyclic symmetry I  More info

15.00-15.30 Tea

15.30-16.10 L Wilson (Hawaii)
Real tangent cones and Nash spaces
(Room 1)

15.30-16.10 J De Bobadilla (Nijmegen)
Moduli spaces of polynomial mappings in two variables up to right
equivalence (Room 2)

16.20-17.00 M Lo"nne (Hannover)
Monodromy of elliptic surfaces
(Room 1)

16.20-17.00 S Shadrin (Moscow)
Euler characteristic of the spaces of real meromorphic functions
(Room 2)

19.00- . Conference Dinner at Emmanuel College


Friday 11 August

09.00-10.00 Y Baryshnikov (Eindhoven)
Stokes sets and their relationship to combinatorics, K-theory and some
other fields II

10.00-10.30 Coffee

10.30-11.30 P Slodowy (Hamburg)
Simple singularities and complex reflections

11.45-12.30 A Melle (Madrid)
Newton talk: Monodromy conjecture for some surface singularities

12.40- . Lunch

14.00-15.00 Problems session

15.00-15.30 Tea

15.30-16.30 A Dimca (Bordeaux)
Newton talk: Hodge structures at infinity and monodromy of
polynomials

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