[Turkmath:3463] MSGSÜ- Matematik Genel Seminer- Hatice Mutlu- 13.12.2018, 16:00

[Sibel Şahin]

Sayın liste üyeleri,

*13 Aralık Perşembe 16:00'**da* MSGSÜ Matematik Bölümü Genel
Semineri'nde Bilkent
Üniversitesi Matematik Bölümü'nden *Hatice Mutlu **  "**Monomial Posets and
Their Lefschetz Invariants **"  *başlıklı bir konuşma verecektir.
Konuşmanın özeti aşağıda yer almaktadır.

Seminerde görüşmek dileğiyle,
Sibel ŞAHİN


*Başlık:* *Monomial Posets and Their Lefschetz Invariants*

*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.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20181207/3ccb4f59/attachment.html>