1998 seminars
22/01/1998, Thursday , 14:15 –15:15
Room P3.10, Mathematics Building
Introduction to deformation quantization
Preparatory material for deformation quantization distributed during the meetings by Joao Nuno.
22/01/1998, Thursday , 15:20 –16:20
Room P3.10, Mathematics Building
Geometric methods in integrable systems
Study equations in Lax form and understand how they give rise to a spectral curve and a line bundle on it.
References:
Mumford, D. "Tata Lectures on Theta, vol II", Progress in Math. 43, Birkhauser 1984 Beauville, A. "Jacobiennes des courbes spectrales et systemes hamiltoniens completement integrables", Acta Math. 164, '90
22/01/1998, Thursday , 16:50 –17:50
Room P3.10, Mathematics Building
Introduction to F-theory II
Continuation of the study of aspects of the relation between
moduli spaces of flat E 8 connections on elliptic
curves,
the deformation of complex structures on Del Pezzo surfaces
and,
singularities on these surfaces,
are studied. The motivation comes from work on "F-theory" by
Friedman, Morgan and Witten.
References
R. Friedman, J. Morgan and E. Witten, "Vector Bundles and F
theory"
hep-th/9701162
R. Friedman, J. Morgan and E. Witten, "Vector Bundles over
Elliptic Fibrations",
alg-geom/9709029 .
R. Friedman, J. Morgan and E. Witten, "Principal G-bundles over
elliptic curves",
alg-geom/9707004 .
19/02/1998, Thursday , 14:15 –15:15
Room P3.10, Mathematics Building
Introduction to deformation quantization - III
Preparatory material for deformation quantization distributed during the meetings by Joao Nuno.
19/02/1998, Thursday , 15:20 –16:20
Room P3.10, Mathematics Building
Margarida Mendes Lopes, Faculdade de Ciencias, Universidade de Lisboa
Blow-up of points in almost general position and Del Pezzo surfaces
Geometric description of singularities in Del Pezzo surfaces.
Reference:
J.-Y. Merindol, "Les Singularites Simples Elliptiques, Leurs Deformations, les Surfaces Del Pezzo et les Transformations Quadratiques", Ann. Scient. Ec. Norm. Sup., 4 serie, 15 (1982) 17-44
19/02/1998, Thursday , 16:50 –17:50
Room P3.10, Mathematics Building
Vacuum of N = 2 supersymmetric Yang-Mills theory
Introduction to the solution by Seiberg and Witten of the N = 2
supersymmetric Yang-Mills theory (following the reference).
Reference
W. Lerche, "Introduction to Seiberg-Witten Theory and its
Stringy Origin",
hep-th/9611190 .