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16.10.2025: Tal Gottesman (University of Bochum)
Title: Counting Boolean antichains
Abstract: We say that an antichain of a Lattice L is boolean if it generates a boolean sublattice in L, in a particularly nice way. These purely combinatorial objects play a role in the representation theory of the incidence algebra of the lattice L as indicated by recent results of Rognerud, Yıldırım and by an on going project with Klász, Kleinau and Marczinzik. Given these motivations, it seemed natural to ask: how many boolean antichains does a lattice actually have? Recently, students participating in a "Dive into Research" at the university of Bochum counted boolean antichains in famous lattices and discovered some familiar formulas. The goal of this talk is to present these results, but with enough motivations to suit an algebraically inclined audience.
02.10.2025: Bachelor/Master thesis talks
16:15: James Turesson: The g-vector fan of a finite-dimensional algebra
17:15: Marlon Huestege: Irreducible polynomials over finite fields