Manfred Lehn will teach on holomorphic symplectic singularities, discussing problems of classification, deformation or resolution of symplectic singularities. There will be a parallel series of introductory lectures devoted to the Fourier-Mukai transform. The School will take place at the Banach Center, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland.
| Monday: | |
| 10.00-12.00 | M. Lehn: Symplectic Singularities I |
| 14.00-15.30 | Abelian Varieties and theorem of the Cube, Dual Abelian Variety |
| 16.00-17.30 | Extensions, Biextensions and Duality |
| Tuesday: | |
| 10.00-12.00 | M. Lehn: Symplectic Singularities II |
| 14.00-15.30 | Fourier-Mukai Transform |
| 16.00-17.30 | Mumford Group and Riemann's Quartic Theta Relation |
| Wednesday: | |
| 10.00-12.00 | M. Lehn: Symplectic Singularities III |
| Thursday: | |
| 10.00-12.00 | M. Lehn: Symplectic Singularities IV |
| 14.00-15.30 | More on Line Bundles, Vector Bundles on Elliptic Curves |
| 16.00-17.30 | Derived Categories |
| Friday: | |
| 10.00-12.00 | M. Lehn: Symplectic Singularities V |
| 14.00-15.30 | Equivalence between Derived Categories of Coherent Sheaves on Abelian Varieties |
| Afternoon talks (except Derived Categories) will be based on Part II. of the book by Alexander Polishchuk: Abelian Varieties, Theta Functions anf the Fourier Transform | |