METU Graduate Algebraic Geometry Seminar

10. 08.06.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Rabia Gülşah Uysal

Title: Wiman’s Sextic

Abstract: Link

9. 18.05.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Kadri İlker Berktav

Title: Geometric structures as stacks and geometric field theories

Abstract: In this talk, we outline a general framework for geometric field theories formulated by Ludewig and Stoffel. In brief, functorial field theories (FFTs) can be formalized as certain functors from an appropriate bordism category Bord to a suitable target category.  Atiyah’s topological field theories and Segal’s conformal field theories are the two important examples of such formulation. Given an FFT, one can also require the source category to endow with a ”geometric structure”. Of course, the meaning of ”geometry” must be clarified in this new context. To introduce geometric field theories in an appropriate way, therefore, we first explain how to define ”geometries” using the language of stacks, and then we provide the so-called geometric bordism category GBord. Finally, we give the definition of a geometric field theory as a suitable functor on GBord.  

8. 11.05.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Ahmed Uzun

Title: General introduction to K3 surfaces

Abstract: Link

7. 04.05.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Anıl Berkcan Türker

Title: Path to the Quiver varieties – III

6. 27.04.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Anıl Berkcan Türker

Title: Path to the Quiver varieties – II

5. 13.04.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Batuhan Kaynak Acar

Title: Continuation of his previous talk

4. 06.04.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Anıl Berkcan Türker

Title: Path to the Quiver varieties

Abstract: This talk will be the first part of the path to the quiver varieties. In which we will introduce the idea of quiver, path algebras and will be loosely speaking about itself and the idea of representations of quivers. As a motivation: if life permits I will be talking about group actions on quivers, hall algebras, geometric invariant theory, and quiver varieties in upcoming talks.

3. 30.03.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Turgay Akyar

Title: Hilbert’s Sixteenth Problem

Abstract: In this talk we will give some basic facts about nonsingular real algebraic curves and introduce Hilbert’s sixteenth problem. Then we will complete the talk with its connection to the patchworking of real algebraic curves given by Oleg Viro.

2. 23.03.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Batuhan Kaynak Acar

Title: Introduction to Atiyah-Singer Index Theorem

Abstract: Link

1. 16.03.2023, 10:40, Gündüz İkeda Seminar Room

Speaker: Ahmed Uzun

Title: Viro’s Patchworking Method

Abstract: Link