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Antonio Macchia (Freie Universität Berlin): Binomial edge ideals of bipartite graphs

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Hörsaal)

Binomial edge ideals are ideals generated by binomials corresponding to the edges of a graph, naturally generalizing the ideals of 2-minors of a generic matrix with two rows. They also arise in Algebraic Statistics in the context of conditional independence ideals. We give a combinatorial classification of Cohen-Macaulay binomial edge ideals of bipartite graphs providing an explicit construction in graph-theoretical terms. In the proof we use the dual graph of an ideal, showing in our setting the converse of Hartshorne’s Connectedness theorem. As a consequence, we prove for these ideals a Hirsch-type conjecture of Benedetti-Varbaro. This is a joint work with Davide Bolognini and Francesco Strazzanti.

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Beginn: 19. November 2019 11:00

Ende: 19. November 2019 12:00