Meltem GÜLLÜSAÇ, Dokuz Eylül University.
Date: 31st of October, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar, we will talk about Artin algebras and categories.
Month: October 2018
Biquandle colorings of knots and knotoids
Neslihan Gügümcü, Izmir University of Economics.
Date: 24th of October, 2018, Thursday. Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: A (classical) knot is basically a loop in 3-dimensional space with a possible entanglement. Understanding the entanglement type of a given knot; to distinguish it from other knots or to see if its entanglement can be resolved and the knot can be turned into just a simple loop, lies as a central problem of knot theory. Knot invariants are tools used for solving this problem. Recently, Turaev introduced knotoids which are a natural extension of knots giving rise to generalizations of many knot invariants and also many new concepts.
In this talk I firstly introduce basic notions of classical knot and knotoid theory. Then I present some generalized algebraic structures such as quandles and biquandles. Finally I show how to color a knot/knotoid diagram by using a biquandle, and how to derive invariants for them by this coloring.
This is a joint work with Sam Nelson at Claremont McKenna College, USA.
Representation Theory of Artin Algebras
Meltem GÜLLÜSAÇ, Dokuz Eylül University.
Date: 17th of October, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar, we will talk about some homological facts.
Representation Theory of Artin Algebras
Meltem GÜLLÜSAÇ, Dokuz Eylül University.
Date: 10th of October, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar, we will continue to talk about the structure of projective modules over left Artinian rings.
Infinitude of Primes and Primes in Arithmetic Progressions
Haydar Göral, Dokuz Eylül University
Date: 26/10/2018, Friday, Time: 10:15
Abstract: We first give two proofs of the infinitude of primes using topology and geometry. Then, we will see the connection between the Riemann zeta function and the reciprocal sum of prime numbers. Lastly, we will discuss how this idea leads us to Dirichlet’s theorem on primes in arithmetic progressions.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B259.
Around the Szemerédi Theorem 3
Selçuk Demir, Dokuz Eylül University
Date: 19/10/2018, Friday, Time: 10:15
Abstract: This will be the third of a series of talks devoted to some topics around the Sezemerédi Theorem. We briefly recall what we did in the first two talks, and then we show the relation between the Szemerédi theorem and the Ergodic theory.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B259.
Representation Theory of Artin Algebras
Meltem GÜLLÜSAÇ, Dokuz Eylül University.
Date: 3rd of October, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar, we will talk about the right minimal – left minimal homomorphisms and the structure of projective modules over left Artinian rings.