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Recently V. Drinfeld and M. Boyarchenko have developed
the theory of character sheaves on unipotent groups over fields of
positive characteristic. The character sheaves are defined using the
notion of minimal idempotents in the equivariant derived category of the
unipotent group. When the nilpotence class of the unipotent group is
small, one can describe the minimal idempotents explicitly using the orbit
method. Each minimal idempotent gives rise to a category of character
sheaves, which upon suitable modification, forms a modular category. I
shall try to describe a conjectural explicit description of this category,
due to Drinfeld.
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