AUC Mathematics

Graph Theory Science Slam
Student Competition 2023

Math lovers and those to be - check out the playlist below and give your thumbs up to vote for the best video on applications of graph theory. Competition deadline is Monday, 22.05., 7:30pm.

www.youtube.com

Amazing real adventure of Math in space: solving urgently Euler equation to survive!!

The Right Spin THE RIGHT SPIN Told by astronaut MICHAEL FOALE The story of a dramatic rescue in space and the mathematics behind it Narrated by ROBERT OSSERMAN Directed by GEORGE…

Fall 2022 😊

🏅GOOD MORNING AND CONGRATULATIONS to the 2022 winners!!! A front-row seat to honour the work of (L-R) Maryna Viazovska, Jaymes Maynard, June Huh & Hugo Duminil-Copin.

What an incredible group of mathematicians 👏👏👏

Learn more about each of the newly minted winners:

Maryna Viazovska: https://bit.ly/3PmBPcn
Jaymes Maynard: https://www.youtube.com/watch?v=_WsZJC8K7xI
June Huh: https://bit.ly/3umiBv1
Hugo Duminil-Copin: https://bit.ly/3yG143M

Dear all, the AUC Mathematics Department cordially invites you to attend the MACT Senior Thesis presentation of Abdelrahman Ibrahim this Thursday, 19.05.2022, 6:30pm.

Title: Fraissé Structures and Stationary Independence Relations

Abstract: Model theory allows us to abstract notions from pure mathematics to study them from the point of view of first order logic. Most prominent among these is the notion of independence. In this talk, we focus on a specific independence relation, called stationary independence. Under certain conditions on the structure, the presence of a stationary independence allows strong conclusions about its automorphism group G, like the study of its normal subgroup structure. In so-called homogenous structures, or Fraissé structures, with stationary independence, the automorphism group turns out to be universal, i.e., every automorphism group of a substructure can be viewed as a closed subgroup of G itself.
In a conference in Istanbul in 2014, it was asked whether one can define a stationary independence relation on the rationals as a linear order, which turns out to be false. Generalizing this, we provide a novel necessary condition for the existence of a stationary independence relation.
In this talk, we give a gentle introduction to Model theory and Fraïssé structures, and then move on to work with stationary independence relations, reaching up to our novel condition.

https://www.scientificamerican.com/article/virtuoso-mathematician-who-reshaped-topology-wins-abel-prize/?utm_source=newsletter&utm_medium=email&utm_campaign=space&utm_content=link&utm_term=2022-03-31_top-stories&spMailingID=71427480&spUserID=NTQ2OTkzODM1NDYzS0&spJobID=2238096831&spReportId=MjIzODA5NjgzMQS2

Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize Dennis Sullivan’s work has advanced the study of shapes, and he developed tools that have helped to solve many mathematical problems