Room P3.10, Mathematics Building

Arnaud Beauville, Laboratoire J. A. Dieudonné, Université de Nice

Vector bundles on curves and generalized theta functions. Generalized theta functions and topological field theory.

Topological field theories. The Chern-Simons action. The heat equation for generalized theta functions.

References

E. Witten. Quantum field theory and the Jones polynomial. Comm. Math. Phys. 121 (1989), 351–399.

M. Atiyah. The geometry and physics of knots. Lezioni Lincee, CUP, Cambridge,1990.

N. Hitchin. Flat connections and geometric quantization. Comm. Math. Phys. 131 (1990), 347–380.