Thinking of the Landau-Ginzburg model as a noncommutative space given by a dg-category, it carries a natural Hodge structure coming from the interplay of various variants of Hochschild homology. I will explain the (partially conjectural) interpretation of this Hodge structure in terms of "classical" Hodge theoretic invariants in singularity theory.
Math-Physics Joint Seminar
Monday, March 23, 2009 - 12:00pm
Tobias Dyckerhoff
University of Pennsylvania