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GEOMETRY-TOPOLOGY SUMMER SCHOOL

26 - 31 August 2013

Istanbul Center for Mathematical Sciences (IMBM)

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**Morning
Sessions (Monday - Friday)**

9:00 - 9:45 | Ali Özgür Kişisel | Quantum Groups and Links |

9:45 - 10:00 | Break | |

10:00 - 10:45 | Burak Özbağcı | Introduction to Symplectic and Contact Topology in Low Dimensions |

10:45 - 11:00 | Break | |

11:00 - 11:45 | Ferit Öztürk | Around Real Analytic Gradient Systems |

11:45 - 13:00 | Lunch |

*The lectures will be at the
classroom TB 310 at Boğaziçi University South Campus.*

**Afternoon
Sessions**

Monday | 13:00 - 14:30 | Betül Tanbay | TWM PANEL |

14:30 - 15:00 | Tea (IMBM) | ||

15:00 - 16:15 | Mustafa Kalafat | Algebraic Surfaces and Their Applications I | |

Tuesday |
13:00 - 14:15 | Barış Coşkunüzer | Introduction to Minimal Surfaces I |

14:15 - 14:30 | Break | ||

14:30 - 15:30 | Ayşe Borat | Remarks on Simplectically Aspherical Manifolds | |

15:30 - 16:00 | Tea (IMBM) | ||

16:00 - 17:00 | Münevver Çelik | A New Approach to
Quantum Group SL_{q}(n) | |

Wednesday |
13:00 - 14:15 | Mustafa Kalafat | Algebraic Surfaces and Their Applications II |

14:15 - 14:30 | Break | ||

14:30 - 15:45 | Barış Coşkunüzer | Introduction to Minimal Surfaces II | |

15:45 - 16:30 | Tea (IMBM) | ||

Thursday |
13:00 - 14:15 | Barış Coşkunüzer | Introduction to Minimal Surfaces III |

14:15 - 14:30 | Break | ||

14:30 - 15:30 | Ayşegül Akyol | Simple Singular Plane Sextics | |

15:30 - 16:00 | Tea (IMBM) | ||

16:00 - 17:00 | Arzu Zabun | Anti-canonical Correspondence for Real Del Pezzo Surfaces of Degree 3 (or 2) | |

Friday |
13:00 - 14:15 | Mustafa Kalafat | Algebraic Surfaces and Their Applications III |

14:15 - 14:30 | Break | ||

14:30 - 15:30 | Aybike Özer | Dualities in String Theory | |

15:30 - 16:00 | Tea (IMBM) | ||

16:00 - 17:00 | Closing Remarks (IMBM) |

*The lectures and talks will be
at TB 310 at Boğaziçi University South Campus*

This summer school is supported by
__TWM__, __IMBM__, __ Boğaziçi University__
and__ University
of Rochester__

**LECTURES:**

**Quantum
Groups and Links **by Ali
Özgür Kişisel (METU)

In this series of talks we will discuss classical and quantum invariants of knots and links. I will try to describe several different viewpoints for obtaining these invariants.

A special emphasis will be on quantum groups.

Introduction to Symplectic and Contact Topology in Low Dimensions by Burak Özbağcı (Koç University)

Around Real Analytic Gradient Systems by Ferit Öztürk (Boğaziçi University)

**Algebraic
Surfaces and Their Applications **by Mustafa Kalafat (Tunceli
University)

**An
Introduction to Minimal Surfaces **by Barış Coşkunüzer (Koç
University)

**TALKS:**

**Remarks on
Simplectically Aspherical Manifolds (Ayşe Borat) **

In the talk, we will give an example of a symplectic manifold whose fundamental group is large (in the symplectic sense) but its universal cover is not Stein.

**Simple Singular Plane
Sextics (Ayşegül Özgüner Akyol)**

We consider irreducible complex plane projective curves of degree six with simple singular points only and classify such curves up to equisingular deformation. (We concentrate on the so-called non-special curves, as the special ones are already known). We list all sets of singularities realized by such curves, discuss their relation to the maximizing sets (i.e., those of total Milnor number 19), and, for each set of singularities found, describe the connected components of the moduli space. We also discuss the question of the realizability of a given set of singularities by a real curve.

**Anti-canonical
Correspondence for Real Del Pezzo Surfaces of Degree 3 (or 2) (Arzu
Zabun)**

In this talk, we study generic configurations of 6 (or 7) points in the real projective plane. In the case of 6-configurations, the anticanonical correspondence associates with such a configuration a certain configuration of 6 skew lines on a real cubic M-surface in three dimensional real projective plane while in the case of 7-configurations, the anticanonical correspondence, which associates with such a configuration a certain configuration of 7 lines which are bitangent to a quartic curve with 4 ovals. I am going to describe this correspondence.

**A New Approach to
Quantum Group SL _{q}(n) (Münevver Çelik)**

**Dualities in String
Theory (Aybike Özer)**

**PARTICIPANTS**

Name |
Affiliation |

Adalet Çengel | Middle East Technical University |

Ali Özgür Kişisel | Middle East Technical University, NCC |

Ali Sait Demir | Istanbul Technical University |

Ali Zincir | Yıldız Technical University |

Arzu Zabun | Middle East Technical University |

Asuman Özer | Istanbul Technical University-Okan University |

Aybike Özer | Istanbul Technical University |

Aykut Arslan | Koç University |

Ayşe Borat | University of Aberdeen |

Ayşegül Özgüner Akyol | Bilkent University |

Barış Coşkunüzer | Koç University |

Bedia Akyar Moller | Dokuz Eylul University |

Bedia Merih Özçetin | Yıldız Technical University |

Burak Özbağcı | Koç University |

Çağrı Hacıyusufoğlu | Koç University |

Deniz Pınar Sunaoğlu | Ankara University |

Dilek Özdemir | Gazi University |

Ece Gülşah Çolak | Bulent Ecevit University |

Elçin Çalışkan | Middle East Technical University |

Erdal Gül | Yıldız Technical University |

Esra Emine Zengin | Balıkesir University |

Ferit Öztürk | Boğaziçi University |

Filiz Ekinci | MEB |

Gülsüm Biçer Yüca | Ankara University-Aksaray University |

Gülsüm Yeliz Saçlı | Yıldız Technical University |

Hatice Çoban | Middle East Technical University |

Hatice Ünlü | Middle East Technical University |

Karatuğ Ozan Bircan | Koç University |

Keziban Uysal | Gazi University |

Merve Bayrakçı | Haliç University |

Mustafa Kalafat | Tunceli University |

Münevver Çelik | Middle East Technical University, NCC |

Neslihan Girgin | Mimar Sinan Fine Arts University |

Nur Sağlam | University of Minnesota |

Ömer Akgüller | Mugla Sıtkı Kocaman University |

Özcan Bektaş | Yıldız Technical University |

Pelin Poşpoş | Ankara University-Aksaray University |

Ramazan Sarı | Gaziosmanpaşa University |

Sabahattin Ilbıra | Middle East Technical University |

Sabri Kaan Gürbüzer | Dokuz Eylul University |

Selman Uguz | Harran University |

Sema Salur | University of Rochester |

Serkan Sütlü | |

Sibel Gerdan | Istanbul University |

Sultan Erdoğan Demir | Istanbul Technical University |

Şafak Alim Satıcı | Istanbul Bilgi University |

Şule Şahin | Hitit University |

Şule Yüksel Güngör | Gazi University |

Tuğba Sağlam | Yıldız Technical University |

Turgut Önder | Middle East Technical University |

Tülin Altunöz | Middle East Technical University |

This summer school is supported by
__TWM__, __IMBM__, __ Boğaziçi University__
and__ University
of Rochester__