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August 25 Math Colloquium

Adrian Tanasa, Université de Bordeaux

Grassmanian (or anti-commuting) variables, Grassmann-Berezin integrals and applications to discrete mathematics

In this talk I will introduce Grassmann (or anti-commuting) variables and the axioms of Grassmann-Berezin calculus. I will then show how we can use these mathematical physics tools to express Pfaffians and determinants and to derive various non-trivial identities in discrete mathematics (deletion/contraction relation for graph polynomials, Gessel-Viennot formula etc.).

 

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