Mimar Sinan Fine Arts University General Seminars

Monomial Posets and Their Lefschetz Invariants
Hatice Mutlu
Bilkent Üniversitesi, Turkey
Özet : The Euler-Poincare characteristic of a given poset X is defi ned as the alternating sum of the order of the set of chains Sd_n(X) with cardinality n+1 over natural number n. Given a finite gorup G, Thevenaz extended this de nition for G- posets and de fined the Lefschetz invariant of a G-poset X as the alternating sum of the G-sets of chains Sd_n(X) with cardinality n+1 over natural number n which is an element of Burnside ring B(G). Let C be an abelian group. We will introduce the notions of C-monomial G-posets and C-monomial G-sets, and state some of their categorical properties. The category of C-monomial G-sets gives a new description of the C-monomial Burnside ring BC(G). We will also introduce Lefschetz invariants of C-monomial G-posets, which are elements of BC(G). The motivation is showing the well-de finedness of C-monomial tensor induction. This is a joint work with Serge Bouc.
  Tarih : 13.12.2018
  Saat : 16:00
  Yer : MSGSÜ Matematik Bölümü Seminer Salonu
  Dil : English
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