Computing eigenvalues of the discrete p-Laplacian via graph surgery

Matthias Hofmann, Texas A&M University Date: 16th February 2024, Friday Time: 13:00 Place: DEU, Faculty of Science, Department of Mathematics, Room B255

Abstract: We discuss the dependence of the eigenvalues and eigenfunctions for the discrete signed p-Laplacian under perturbation by a cut parameter. In particular, we prove a formula for the derivative of the eigenvalues and show that the eigenvalues of the discrete signed p-Laplacian on the original graph can be characterized via extremal points of the perturbed system. In this context, we elaborate on how graph surgery can be used in order to compute eigenvalues of the discrete (signed) p-Laplacian by looking at some examples. The derivation formula is reminiscent of the formula for linear eigenvalue problems given by the Hellmann-Feynman theorem and our results extend previous results for the linear case p=2 attained by [Berkolaiko, Anal. PDE 6 (2013), no. 5, 12131233].

Accessibility for Everyone in Career: Disability and Society

This month’s theme of our career event, organized jointly by DEU Faculty of Science, Department of Mathematics and Department of Statistics, in cooperation with DEU Career Planning Center, is “Accessibility for Everyone in Career”. The talk titled “Disability and Society”, which will be held under the moderation of Prof. Dr. Özlem Ege ORUÇ and with the participation of Lawyer Melike TOKSOY, is open to everyone and everyone who is interested is welcome (Those who are interested can contact Assoc. Prof. Dr. Özgül Vupa ÇİLENGİROĞLU or Asst.Prof. Dr. Celal Cem SARIOĞLU.).

Speaker: Av. Melike TOKSOY
Moderator: Prof. Dr. Özlem EGE ORUÇ
Date and Time: 20.12.2023, 14:30
Location: Online DEU
Channel: DEÜİSTATİSTİKKARİYER

ATA FORECASTING METHOD AS A BENCHMARK

Prof. Dr. Güçkan YAPAR, Department of Statistics, Faculty of Science, DEU, İzmir Date: December 13, 2023, Wednesday Time: 15:00 Place: Classroom B256, Department of Mathematics, Faculty of Science, DEU, İzmir.

Abstract: ATA forecasting method is a new method which is proposed as an alternative to basic forecasting method exponential smoothing (ES) and ARIMA. Although Ata method is structurally similar to the ES method but it is completely different in content. Ata method is simple, fast and more accurate than its alternatives. Ata method has taken its place in the literature by proving its success with its forecasting performance in M-competition data sets.

+1 Step in Career: Student Clubs

This month’s theme of our career event is “+1 Step in Career: Student Clubs”, and we are hosting the DEU Robotics Club (DeuRov), Industrial Engineering Student Club (DEU EMT) and IEEE Dokuz Eylül University Student Branch in our event. The event is open to all mathematics department students and those who are interested. Those who are interested are kindly requested to contact the moderator (Asst.Prof.Dr. Celal Cem SARIOĞLU).

Speakers:

Date and Time: 03.11.2023, 12:30
Location: B253 (DEÜ Faculty of Science, Department of Mathematics)

I am Writing a TÜBİTAK 2209-A Project

The theme of our career event this month is “I am Writing a TÜBİTAK 2209-A Project”, and in our event, information will be given about TÜBİTAK 2209-A University Students Research Projects and a conversation will be held on the points to be considered when writing a project. The event is open to all mathematics department students and those who are interested. Those who are interested are asked to contact the speaker.

Speaker: Asst.Prof.Dr. Celal Cem SARIOĞLU
Date and Time: 27.10.2023, 12:10
Location: https://online.deu.edu.tr/
Channel: DEUMatematikKariyer

Career Tips from Young Graduates

In cooperation with Dokuz Eylül University Faculty of Science, Department of Mathematics and Career Planning Center, on 25.09.2023 at 12.05, a conversation titled “Career Tips from Young Graduates” will be held with Aslı GÜLTEKİN, Mathematics 2023 graduate, under the moderation of Celal Cem SARIOĞLU. The talk is open to all mathematics department students and those who are interested. Those who are interested are asked to contact the moderator.

Speaker: Aslı GÜLTEKİN (Data Scientist, Pivony)
Date and Time: Monday, 25.09.2023, 12.05
Locationonline.deu.edu.tr
Channel: DEUMatematikKARİYER

+1 Step in Career: Student Clubs

The theme of our career event this month is +1 Step in Career: Student Clubs, and we host the Computer Science and Artificial Intelligence Club, Google Developer Students Clubs-DEU and Business Student Club in our event. The event is open to all mathematics department students and those who are interested. Those who are interested are asked to contact the moderator (Dr. Zübeyir Türkoğlu).

Speakers:

Date and Time: 17.04.2023, 11:30

Location: https://online.deu.edu.tr/
Channel: Kariyerde +1

On rings whose cyclic modules have cyclic injective hulls

Prof. Dr. Christian Lomp, Department of Mathematics, University of Porto in Porto, Portugal. Date: 19th of April 2023, Wednesday. Time: 11:00. Place: Online/Microsoft Teams- Meeting ID: 351 128 968 15 Passcode: Gy4n4B

Abstract: In 1964, Barbara Osofsky proved in her PhD thesis that a ring whose cyclic modules are injective is semisimple Artinian. William Cadwell in his PhD thesis from 1966 studied when injective hulls of cyclic modules are cyclic and termed them hypercyclic rings. He characterised left perfect left hypercyclic rings as well as commutative local hypercyclic rings. In this talk we will revise the literature on rings whose cyclic modules have cyclic injective hulls and present some more recent results, obtained jointly with Mohamed Yousif and Yiqiang Zhou.