The commutative algebra group of the Institute for Research in Fundamental Sciences (IPM) is organizing the 16th seminar on Commutative Algebra and Related Topics. The goal is to bring together people who are working on commutative algebra and related fields and to introduce recent developments to the PhD students and young researchers.

In addition, a workshop will be held on January 13 and 14, 2020. The aim is to acquaint the young researchers with the new trends in the subject.Your contribution is highly appreciated.

The speakers of the workshop are as follows:

- Hamid Hassanzadeh (Federal University of Rio de Janeiro, Brazil)
- Doan Trung Cuong (Institute of Mathematics, Hanoi, Vietnam)
- Nguyen Tu Cuong (Institute of Mathematics, Hanoi, Vietnam)
- Sverre Olaf Smalo (Norwegian University of Science and Technology, Norway)

- Abdolnaser Bahlekeh (Gonbad Kavous University)
- Kamran Divaani-Aazar (IPM and Alzahra University)
- Zahra Nazemian (IPM)
- Arash Sadeghi (IPM)

Javad Asadollahi
(University of Isfahan and IPM (His attendance in the seminar was canceled due to the passed away of his father.)

Cohen-Macaulay Auslander Algebras

Cohen-Macaulay Auslander Algebras

Doan Trung Cuong
(Institute of Mathematics, Hanoi, Vietnam)

On a Family of Cohomological Degrees

On a Family of Cohomological Degrees

Nguyen Tu Cuong
(Institute of Mathematics, Hanoi, Vietnam)

On the Index of Reducibility of Noetherian Modules

On the Index of Reducibility of Noetherian Modules

Hamid Hassanzadeh
(Federal University of Rio de Janeiro, Brazil)

The Structure of Residual Intersections

The Structure of Residual Intersections

Maral Mostafazadehfard
(Federal University of Rio de Janeiro, Brazil)

Cyclic Covers and the F-regularity of Hankel Determinantal Rings

Cyclic Covers and the F-regularity of Hankel Determinantal Rings

Sverre Olaf Smalo
(Norwegian University of Science and Technology, Norway)

The Importance of Counterexamples

The Importance of Counterexamples

To register for the seminar, please fill out the Registration Form. Your request will be considered by the organizing committee. Upon acceptance you will receive an email. After the acceptance, you may complete the registration by doing the payment process.

**Registration fee for the seminar:**

1)**Registration fee for Iranian participants:**

You can get more information about the registration fee**here**.

2)**Registration fee for international participants:**

The registration fee is**150 Euro**.
The registration fee for international participants will be due in cash at the time of registration on the first day of the meeting. Please note that standard credit cards; e.g., Visa, Master or AmEXP, cannot be used in Iran.

Registration fee includes: Documentation package, participation in the lectures, lunches coupons, and coffee breaks during the meeting.

Residence fee at IPM guest house is 25 Euro per night.

1)

You can get more information about the registration fee

2)

The registration fee is

Registration fee includes: Documentation package, participation in the lectures, lunches coupons, and coffee breaks during the meeting.

Residence fee at IPM guest house is 25 Euro per night.

Decision on acceptance of attendance and talks:

Deadline for registration confirmation:

All commutative algebraists are welcome to participate in this event. Please note that attending in the workshop is free of charge and there is no need for registration.

Hamid Hassanzadeh
(Federal University of Rio de Janeiro, Brazil)

The Buchsbaum-Eisenbud Family of Complexes

The Buchsbaum-Eisenbud Family of Complexes

Doan Trung Cuong
(Institute of Mathematics, Hanoi, Vietnam)

Talk 1: On the Maximal Dimension of Formal Fibers of a Local Ring

Talk 2: On Local Rings with Zero-dimensional Formal Fibers

Talk 3: On Singularities of Formal Fibers of a Local Ring

Talk 1: On the Maximal Dimension of Formal Fibers of a Local Ring

Talk 2: On Local Rings with Zero-dimensional Formal Fibers

Talk 3: On Singularities of Formal Fibers of a Local Ring

Abstract of Talk 2: I would like to focus on Noetherian local rings whose formal fibers are of zero-dimensional. Some characterizations of these rings are discussed. Using these characterization, we show that certain local rings of a one-dimensional scheme over a one-dimensional complete local ring have all formal fibers of zero-dimensional. Then we present an application of this result to the theory of quadratic forms.

Abstract of Talk 3: Relations between singularities of the formal fibers of a local ring and of the ring itself was discovered by Grothendieck and played an important role in the theory of excellent rings. In this talk, I will discuss relations between the Cohen-Macaulayness of the formal fibers of a finitely generated module $M$ over a Noetherian local ring with the existence of a Cohen-Macaulay Rees module of $M$.

Nguyen Tu Cuong
(Institute of Mathematics, Hanoi, Vietnam)

The p-standard System of Parameters in a Local Ring and its Applications

The p-standard System of Parameters in a Local Ring and its Applications

- The existence of a Macaulayfication of a local ring which is a quotient of a Cohen-Macaulay ring [2].

- The stability of index of reducibility of parameter ideals [3].

- To define a new extended degree in the sense of W. Vasconselos called the unmixed degree for a finitely generated module [4].

[1] N.T. Cuong, p-standard systems of parameters and p-standard ideals in local rings, Acta Mathematica Vietnamica Vol. 20 (1995), 145-161.

[2] N.T. Cuong and D.T. Cuong, Local cohomology annihilators and Macaulayfication,, Acta Mathematica Vietnamica Vol. 42 (2017), 37-60.

[3] N.T. Cuong and P.H. Quy, On the index of reducibility of parameter ideals: the stable and limit values, To appear in Acta Mathematica Vietnamica Vol. 45 (2020).

[4] N.T. Cuong and P.H. Quy, On the structure of finitely generated modules over quotients of Cohen-Macaulay local rings. Preprint arXiv:1612.07638.

Sverre Olaf Smalo
(Norwegian University of Science and Technology, Norway)

Three Natural Partial Orders on the Set of Isomorphism Classes of Finite Length Modules (4 talks)

Three Natural Partial Orders on the Set of Isomorphism Classes of Finite Length Modules (4 talks)