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talk about the religion that you will present next year at soda or yes exactly yes about the structure its inclusive matching miners yes all right so welcome everyone uh just to to begin with because this is like a again like a title that maybe doesnt tell you too much so essentially this is in some sense a continuation of my last talk I gave you so its again about counting perfect matchings but now in a slightly different setting so last time we were looking at minor close classes and Counting matchings here and this time we are looking at uh Computing the permanent of matrices directly so all of this is essentially just Structure Theory on matrices but I will turn this into graphs eventually but because its its about the permanent I will start with like a very general introduction so in general we look at Square matrices and what we have here to the left is an expression for the determinant of a skill Matrix which is essentially just summing up like products of entries of our Ma