Algebraic Geometry Seminar

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Around the Bridgeland Differential on M_{G,N}

Speaker: Andrei Caldarau, University of Wisconsin, Madison

Location: Warren Weaver Hall 201

Date: Thursday, April 17, 2014, 3:45 p.m.

Synopsis:

Several years ago Tom Bridgeland suggested that there should exist an interesting chain maps C_*(M_{g,n}) -> C_{*+2}(M_{g,n+1}) and he conjectured some applications of these maps to mirror symmetry. I shall present a precise definition of these maps using techniques from the theory of ribbon graphs, and discuss a conjectural statement about the homology of the total complex associated to the bicomplex obtained from these maps. Then I shall speculate (wildly) about applications to mirror symmetry.