Speaker: Pavel Mnev (Steklov Institute)
2013.03.11 |
| Date | Tue 12 Mar |
| Time | 10:00 — 11:00 |
| Location | Øv. G3.3 (1532-322) |
We will explain a hidden algebraic structure on cochains and cohomology of a simplicial complex arising from certain simplicial topological field theory.
Next we will introduce simplicial one-dimensional Chern-Simons theory, as an Atiyah's TFT on triangulated 1-cobordisms, consistent with simplicial aggregations and satisfying a version of Batalin-Vilkovisky master equation.
Finally, we will explain the program of extending our results to more general TFTs in higher dimension, in particular the extension of Batalin-Vilkovisky symplectic homological formalism to TFTs on manifolds with boundary. As a byproduct of the latter construction, one obtains a homological description for certain class of (derived) algebro-geometric moduli spaces (e.g. moduli space of local systems) and for their geometric quantization.
