Complex Differential Geometry
July 14-25, 1997
Organiser: Mario Micallef
Titles of talks are at the end of each week
All lectures in GLT 3
Programme for week 1
Monday, July 14
10:30 - 12:00 Registration in the Mathematics Research Centre (Room 30); coffee and biscuits/cookies in the Common Room.
12:00 - 1:15 Lunch
1:15 - 2:15 Demailly I
2:30 - 3:30 Eells
3:30 - 4:00 Tea
4:00 - 5:00 Poritz
Tuesday, July 15
9:30 - 10:30 Schoen I
10:30 - 11:00 Coffee
11:00 - 12:00 Demailly II
12:00 - 1:15 Lunch
1:15 - 2:15 Toledo
2:30 - 3:30 Joyce
3:30 - 4:00 Tea
4:00 - 5:00 Wood
5:30 - ? Pub dinner followed by a country walk
Wednesday, July 16
9:30 - 10:30 Chen
10:50 - 11:50 Arezzo
12:00 - 1:00 Pantev
free afternoon: Warwick Castle? Stratford?
Thursday, July 17
9:30 - 10:30 Demailly III
11:00 - 12:00 Donaldson
2:00 - 3:00 Kronheimer
3:30 - 4:30 Nakajima
Friday, July 18
9:30 - 10:30 Schoen II
11:00 - 12:00 Demailly IV
2:00 - 3:00 Kovalev
3:30 - 4:30 Calderbank
Cook your own BBQ by Maths Research Centre houses?
Fire will be provided! Bring something to cook and lots of wine/beer to drink!
Introductory/Survey talks:
Demailly, J P - L2 methods, multiplier ideal sheaves and adjunction theory (4 lectures)
Schoen, R - Harmonic Map methods (2 lectures)
Regular talks:
Arezzo, C - Existence and rigidity of n-periodic minimal surfaces
Calderbank, D - Weyl derivatives and Einstein-Weyl geometry
Chen, Jingyi - Minimal surfaces in symplectic 4-manifolds
Donaldson, S K - Constant Scalar Curvature Kähler Metrics
Eells, J - Riemannian polyhedra as harmonic spaces
Joyce, D - On the algebraic geometry of hypercomplex manifolds
Kovalev, A - L2 moduli space, Hitchin's equations and parabolic bundles
Kronheimer, P B - Scalar curvature and the Thurston norm
Nakajima, H - Homology groups of quiver varieties
Pantev, T - Non-abelian (p,p) classes
Poritz, J - Uniqueness of complex structures on polygon spaces
Toledo, D - Cubic surfaces and complex hyperbolic geometry
Wood, C - Stability of the Hopf manifold
Demailly's lectures will be a prolongation of his 1994 CIME talks, though the audience will not be expected to have attended these!
The important progress that occurred in the last three years (Angehrn-Siu, Kawamata, Kollár, Helmke...) will, of course, be mentioned.
Programme for week 2
IMPORTANT: If you (and spouse/partner) wish to attend buffet, please pay £7 (£5 pounds for graduate students) to Peta or Hazel in MRC Room 30 ASAP
Monday, July 21
9:30 - 10:30 Mok I
11:00 - 12:00 Valli
2:00 - 3:00 Singer I
3:30 - 4:30 Pantev
Tuesday, July 22
9:45 - 10:15 Coffee
10:15 - 11:15 Mok II
11:45 - 12:45 Schoen I
12:45 - 2:00 Lunch
2:00 - 3:00 Wilson
3:00 - 3:30 Tea
3:30 - 4:30 Katzarkov
4:45 - 5:45 Singer II
6:00 - ? Buffet
Wednesday, July 23
9:30 - 10:30 Bourguignon I
10:50 - 11:50 Salamon
12:00 - 1:00 Poon
free afternoon: Blenheim Palace?
Thursday, July 24
9:45 - 10:15 Coffee
10:15 - 11:15 Schoen II
11:45 - 12:45 Hitchin
12:45 - 2:00 Lunch
2:00 - 3:00 Bourguignon II
3:00 - 3:30 Tea
3:30 - 4:30 Donaldson
4:45 - 5:45 Tian
Friday, July 25
9:30 - 10:30 Norbury
11:00 - 12:00 Thomas
2:00 - 3:00 Mok III
3:30 - 4:30 Demailly
Introductory/survey talks:
Bourguignon, J P - Introduction to Kaehler-Einstein metrics oncomplex manifolds
Mok, N - Harmonic maps in Kähler geometry (2 lectures)
I - Bochner-Kodaira formulae and rigidity
II - Foliations and semi-Kähler structures.
Pantev, T - Overview of nonabelian Hodge Theory (for nonexperts)
Schoen, R - The Lagrangian Plateau Problem in Kähler Geometry (2 lectures)
Regular talks:
Bourguignon, J P - Obstructions and existence of Kähler-Einstein metrics on Fano manifolds
Demailly J P - Compact Kähler manifolds with nef anticanonical bundles
Donaldson, S K - Constant Scalar Curvature Kähler Metrics II
Hitchin, N - Inequalities on Chern numbers for hyperKähler manifolds via Rozansky-Witten invariants
Katzarkov, L - Nonabelian Hodge theory and the Shafarevich conjecture
Mok, N - From geometric structures to symmetry on compact Kähler manifolds
Norbury, P - Periodic instantons and the loop group
Poon, Y-S - TBA
Salamon, S - Betti numbers of manifolds with reduced holonomy
Singer, M - Connected sums of anti self dual orbifolds (after Floer); 2 lectures
Thomas, R - Gauge Theory on Calabi-Yau Manifolds
Tian, G - TBA
Valli, G - TBA
Wilson, P - Mirror Symmetry via 3-tori for a class of Calabi-Yau threefolds
