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16/12/1999, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Nuno Romão, Cambridge University

Constraints on monopole spectral curves

25/11/1999, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
, Universidade do Algarve

TQFT's: A new approach

25/11/1999, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Técnico

Quantum holonomies in $(2+1)$-dimensional gravity and quantum matrix pairs

In this talk we describe some recent results relating, on the one hand, to a method of quantizing a model of gravity in two space and one time dimensions, and on the other, to an algebraic structure - quantum matrix pairs - appearing in this context, which has many similarities with quantum groups.

References:

  1. J. E. Nelson and R. F. Picken, Quantum holonomies in (2+1)-dimensional gravity, gr-qc/9911005.
  2. J. E. Nelson and R. F. Picken, Quantum matrix pairs, math.QA/9911015.

25/11/1999, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
, Grupo de Física Matemática, Universidade de Lisboa

Geometry, stochastic calculus and quantum fields in a non-commutative space-time

21/10/1999, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Técnico

Chern-Simons gauge theory and Vassiliev invariants

21/10/1999, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Paulo Almeida, Instituto Superior Técnico

Noncommutative geometry: a flash

21/10/1999, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Técnico

Geometric quantization of the space of flat connections on a Riemann surface

19/02/1998, 16:50 — 17:50 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Técnico

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 .

19/02/1998, 15:20 — 16:20 — Sala P3.10, Pavilhão de Matemática
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, 14:15 — 15:15 — Sala P3.10, Pavilhão de Matemática
, Faculdade de Ciências, Universidade do Porto

Introduction to deformation quantization - III

Preparatory material for deformation quantization distributed during the meetings by Joao Nuno.

22/01/1998, 16:50 — 17:50 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Técnico

Introduction to F-theory II

Continuation of the study of aspects of the relation between

  1. moduli spaces of flat E 8 connections on elliptic curves,
  2. the deformation of complex structures on Del Pezzo surfaces and,
  3. 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 .

22/01/1998, 15:20 — 16:20 — Sala P3.10, Pavilhão de Matemática
, Instituto Superior Tecnico

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, 14:15 — 15:15 — Sala P3.10, Pavilhão de Matemática
, Faculdade de Ciências, Universidade do Porto

Introduction to deformation quantization

Preparatory material for deformation quantization distributed during the meetings by Joao Nuno.

Organizadores correntes: Roger Picken, Marko Stošić.

Projecto FCT PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry.

CAMGSD FCT