Spectral description of non-commutative local systems on surfaces

Abstract: Let R be a non-commutative field. I plan to give a cluster description of the following moduli spaces:

i) Triples of flags in generic position.

ii) Moduli spaces R-vector bundles with flat framed connections over topological surfaces with corners.

iii) Moduli spaces of non-commutative Stokes data.

Each of the last two examples includes the previous one as a special case. This is a joint work with Maxim Kontsevich.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar