Valery Lunts at MSRI - Mirror symmetry for abelian varieties

<BODY> MSRI Streaming Video Series <BR> Valery Lunts - Mirror symmetry for abelian varieties <BR> Abstract: We construct the mirror symmetry for abelian varieties in the language of algebraic geometry and algebraic groups. Namely, the construction involves two groups: the Hodge group and the group of autoequivalences of the derived category of coherent sheaves (or rather its Zariski closure). Both groups act on the cohomology of an abelian variety (and commute). In the mirror symmetry the two groups get interchanged. </BODY>