Quadratic differentials as stability conditions
 
Tom Sutherland (Universita' di Pavia)



I will introduce a class of triangulated categories associated to marked surfaces to which the results of the previous talk can be applied. Following Bridgeland-Smith stability conditions for such a category are given by certain meromorphic quadratic differentials and can be understood by studying their foliations. Finally I will discuss what we can learn about geometric structures on spaces of stability conditions from these examples.



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