“Bulletin Board”

 School of Mathematics - July 8, 2008

Lecture Series

Yuji Yoshino
Okayama University
July 20-24, 2008

Yuji Yoshino
Okayama University
July 20-24, 2008

First talk:
Left versus right action of Frobenius (Sunday, July 20)

ABSTRACT: Let $R$ be a complete local ring with positive characteristic. Then we denote by $A = R[x;f]$ the skew-polynomial ring of Frobenius type. A left (resp. right) $A$-module is an $R$-module with left (resp. right) Frobenius action. Based on the Matlis duality we construct the duality between left $A$-modules and right $A$-modules.

Second talk:
Stable category and its applications (Tuesday, July 22)

ABSTRACT: abstract will be announced later.

Third talk:
Picard groups of additive full subcategories (Thursday, July 24)

ABSTRACT: We study category equivalences between additives full Subcategories of module categories over commutative rings. And we are able to define the Picard group of additive full subcategories. The aim of this talk is to study the properties of the Picard groups and show that the automorphism group of an additive full subcategory is a semi-direct product of the Picard group and the group of algebra automorphisms of the ring.

Time and Date: Sunday, July 20, 2008 - 10:00-11:00
Tuesday, July 22, 2008 - 10:00-11:00
Thursday, July 24, 2008- 10:00-11:00
Place: Lecture Hall, Niavaran Bldg., Niavaran Sqr., Tehran, Iran
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