[Turkmath:5635] Hacettepe Üniversitesi Bölüm Semineri-Ela Çelikbaş

[Asli Pekcan]

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Sayın Liste Üyeleri,

Hacettepe Üniversitesi Matematik Bölümü genel seminerlerimiz kapsamında, 25
Mayıs 2022 tarihinde
saat 15:00'te zoom bağlantısı üzerinden gerçekleştirilecek, West Virginia
University'den Ela Çelikbaş'ın vereceği
''*Characterizations and Examples of Arf Rings*'' başlıklı konuşmaya
hepinizi bekleriz.
Konuşmanın özeti ve zoom bağlantısı aşağıda yer almaktadır.

Saygılarımla,
Aslı Pekcan

*Seminer Zoom bağlantı linki:*
https://zoom.us/j/96851893273?pwd=YWYzZUpyY1R0d2YwQmx3MStZWTlvUT09
<https://www.google.com/url?q=https://zoom.us/j/96851893273?pwd%3DYWYzZUpyY1R0d2YwQmx3MStZWTlvUT09&sa=D&source=calendar&usd=2&usg=AOvVaw3eRmL4S6ukjogPUUeg7AKq>
*Toplantı Kimliği:  * 968 5189 3273
*Parola*: 172308

*Konuşmacı:*  Ela Çelikbaş
*Konuşma Özeti:* Commutative ring theorists have mainly concentrated in the
study of Cohen-Macaulay rings and modules in the last fifty years.
Understanding Cohen-Macaulay rings is important since they lie within the
intersection of algebraic geometry, algebraic topology, and commutative
algebra. There are many Cohen-Macaulay rings which are not Gorenstein, but
sufficiently good next to Gorenstein rings; for example,* almost Gorenstein
rings* and *generalized Gorenstein rings*. These naturally cover the class
of Gorenstein rings and fill the gap in-between Cohen-Macaulay and
Gorenstein properties.
In 1971 Lipman studied a class of local rings called *Arf rings*; these
rings were initially introduced by Arf in 1949 pertaining to a certain
classification of curve singularities. Although the definition of an Arf
ring is technical, examples of such rings are abundant in the literature,
for example, a one-dimensional local domain of multiplicity two is Arf.
In this talk we discuss several examples and motivations for studying Arf
rings that are almost Gorenstein and generalized Gorenstein, and give a
characterization of such rings.
This talk is based on the joint work with Olgur Celikbas, Shiro Goto, and
Naoki Endo.
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