Séminaire de Mathématiques de GSU
Séminaire et Groupes de travail
Département de Mathématiques.
Université GSU Galatasaray


G?n: 29 Aral?k (Per?embe) 16:00 Yer: Galatasaray ?niversitesi FEF9. Konu?mac?/Speaker - Prof.Bernard Teissier - Institut Math?matique de Jussieu, Equipe G?om?trie et Dynamique. Ba?l?k /Title - On the Lojasiewicz exponent. ?zet/Abstract - The Lojasiewicz exponent measures the relative rates of vanishing of two real or complex-analytic, or subanalytic, functions which vanish on the same set. I will survey some variations on this idea in commutative algebra, including if time permits a recent result of Moret-Bailly on the Artin-Greenberg approximation theorem. G?n: 22 Aral?k (Per?embe) 16:00 Yer: Galatasaray ?niversitesi FEF9. Konu?mac?: Prof. Cemsinan Deliduman Ba?l?k : Entanglement Swapping Model of DNA Replication ?zet: Molecular biology explains function of molecules by their geometrical and electronical structures which are mainly determined by utilization of quantum effects in chemistry. However,further quantum effects are not thought to play any significant role in the essential processes of life. On the contrary, consideration of quantum circuits/protocols and organic molecules as software and hardware of living systems that are co-optimized during evolution, may be useful to pass over the dfficulties raised by biochemical complexity and to understand the physics of life. In this talk, I will describe a quantum mechanical model of DNA replication with a re- liable qubit representation of the nucleotides. In the model: 1) molecular recognition of a nucleotide is assumed to trigger an intrabase entanglement corresponding to a superposition of different tautomer forms and 2) pairing of complementary nucleotides is described by swapping intrabase entanglements with interbase entanglements. I will give some examples of quantum circuits/protocols to be used to obtain intrabase and interbase entanglements. Lastly, possible computational and experimental verification methods of the model will be discussed. G?n: 8 Aral?k (Per?embe) 16:00 Yer: Galatasaray ?niversitesi FEF9. Konu?mac?/Speaker - Arnaldo Garcia - IMPA at Rio de Janeiro. Ba?l?k /Title - Asymptotics on codes and on curves over finite fields. ?zet/Abstract- The famous bound of Hasse-Weil for the number of rational points on curves over finite fields (equivalent to the Riemann Hypothesis in this context) was shown by Ihara to be weaker as the genus of the curve grows. For a finite field with q elements, Ihara then introduced the quantity A(q) that controls the asymptotic behaviour of the number of rational points as the genus goes to infinity.To deal with A(q) one is led to consider infinite towers of algebraic curves and to study their limits for the ratios of (number of rational points) / (genus). We are going to motivate this interesting mathematical subject by its connection to the asymptotics in Coding Theory, which is a result due to Tsfasman-Vladut-Zink based on a construction of Goppa of linear codes from algebraic curves over finite fields. G?n: 3 Kas?m (Per?embe) 16:00 Yer: Galatasaray ?niversitesi FEF9. Konu?mac?: Ayberk Zeytin Ba?l?k : Polygonal decompositions of the sphere and ball quotients ?zet: After a short introduction to the subject, we will give classification of sphere quadrangulations satisfying a condition of non-negative curvature, following Thurston's classification of sphere triangulations under the same condition. If time permits, we will discuss some arithmetic applications of the classification, and its relations to Picard-Terada-Deligne-Mostow theory. (joint with M.Uludag.) Title: Polygonal decompositions of the sphere and ball quotients Abstract: After a short introduction to the subject, we will give classification of sphere quadrangulations satisfying a condition of non-negative curvature, following Thurston's classification of sphere triangulations under the same condition. If time permits, we will discuss some arithmetic applications of the classification, and its relations to Picard-Terada-Deligne-Mostow theory. (joint with M.Uludag.) Date : 13 Octobre, 16:00 Lieu :FEF9 Titre :"N=2 BPS dyons and Hessian flow" Conf?rencier: Dieter van den Bleeken (Galatasaray University) I will first review the theory of lagrangians with N=2 supersymmetry and their definition in terms of special Kahler geometry. In the second part of the talk I will discuss my forthcoming paper that analyses so called BPS solutions to the equations of motion of these theories. Below is the abstract of this paper. We revisit BPS solutions to classical N=2 effective low energy gauge theories. It is shown that the vacuum equations can be solved in full generality by the introduction of a Hessian potential, a symplectic analog of the holomorphic prepotential. We argue that the natural generalisation of the attractor equation to non-spherically symmetric solutions is a gradient flow equation with respect to this Hessian potential. Furthermore we define a complex local central charge vector that is shown to satisfy Maxwell's equations. In the last part of the paper we study the introduction of sources. We discuss the empty pole condition of Denef for spherically symmetric solutions and derive a precise set of constraint equations that restrict the location of sources in the absence of spherical symmetry.

Lundi 9 mai 2011, 15h30-16h30, salle P20.
Johannes HUEBSCHMANN, université des sciences et technologies de Lille.
Singular Poisson-Kähler geometry of stratified Kähler spaces.


Mercredi 4 et jeudi 5 mai 2011, 16h00-18h00, salle FEF 8 (mercredi) et FEF 1 (jeudi).
Eugene HA, Galatasaray üniversitesi.
Galois Theory from Galois' Perspective.


Lundi 25 avril 2011, 15h00-16h00, salle P20.
Müge KANUNI, Boğaziçi üniversitesi.
Discrete Structures in Algebra.


Lundi 4 avril 2011, 15h00-16h00, salle P20.
Meral TOSUN, université Galatasaray.
Good slices for simple elliptic singularities.


Jeudi 24 mars 2011, 9h00-11h00, salle FEF 5.
Athanase PAPADOPOULOS, institut de recherche mathématique avancée, Strasbourg.
Espaces métriques généralisés 2.

Mercredi 23 mars 2011, 16h00-18h00, salle FEF 10.
Athanase PAPADOPOULOS, institut de recherche mathématique avancée, Strasbourg.
Espaces métriques généralisés 1.

Lundi 21 mars 2011, 16h00-17h00, salle FEF 7.
Jiro SEKIGUCHI, Tokyo university of agriculture and technology.
A Schwarz map of Appell's F_2 whose monodoromy group is related to the reflection group of type D_4.


Lundi 21 mars 2011, 15h00-16h00, salle FEF 7.
Athanase PAPADOPOULOS, institut de recherche mathématique avancée, Strasbourg.
La géométrie de Finsler.

Mercredi 16 mars 2011, 15h00-16h00, salle FEF 9.
Eric SOCCORSI, centre de physique théorique, Marseille.
Résolution des équations différentielles par la méthode des élements finis.


Lundi 14 mars 2011, 16h00-17h00, salle FEF 7.
Eric SOCCORSI, centre de physique théorique, Marseille.
Lipschitz stability in an inverse problem for non autonomous magnetic Schrödinger equations.


Lundi 14 mars 2011, 15h00-16h00, salle FEF 7.
Oleg BELEGRADEK, İstanbul Bilgi Üniversitesi.
How similar can non-isomorphic algebraic structures be?


Mercredi 9 mars 2011, 15h00-16h00, salle FEF 10.
Jawad SNOUSSI, universidad nacional autónoma de méxico.
Modifiactions des singularités.


Lundi 7 mars 2011, 15h00-16h00, salle FEF 4.
Jawad SNOUSSI, universidad nacional autónoma de méxico.
Equisingularity in complex surfaces.


Lundi 28 février 2011, 15h00-16h00, salle P 23.
Eugene HA, université Galatasaray & Fields Institute, Toronto.
The problem of cohomology for an Arakelov divisor.


Vendredi 7 janvier 2011, 15h00-16h00, salle FEF 1.
Gülay KAYA, université Galatasaray.
The Groebner fan of a polynomial ideal.

Lundi 20 décembre 2010, 15h00-16h00, salle FEF 9.
Muhammed ULUDAĞ, université Galatasaray.
Hypergeometric Galois Actions.

Lundi 6 décembre 2010, 15h00-16h00, salle FEF 9.
Cédric MILLIET, université Galatasaray.
Quelques mots de théorie des modèles.


Mercredi 24 novembre 2010, 17h15-18h15, salle FEF 9.
Susumu TANABE, université Galatasaray.
Invariants of hy pergeometric groups for Calabi--Yau complete intersections in weighted projective spaces


Vendredi 5 novembre 2010, 10h-12h, salle P 19.
Xavier BRESSAUD, institut de mathématiques de Toulouse.
Introduction à la dynamique symbolique. (2/2)

Jeudi 4 novembre 2010, 10h-11h, salle FEF 9.
Xavier BRESSAUD, institut de mathématiques de Toulouse.
Introduction à la dynamique symbolique. (1/2)

Mercredi 27 octobre 2010, 16h00, salle FEF 10. Affiche
Hervé GAUSSIER, institut Joseph Fourier, Grenoble
Pseudoholomorphic curves and applications


Mardi 26 octobre 2010, 15h00, salle FEF 1. Affiche
Hervé GAUSSIER, institut Joseph Fourier, Grenoble
Géométrie et calcul infinitésimal. Séminaire introductif à destination des étudiants


Date de dernière mise à jour : 9 février 2011.