Ankara-Istanbul AGNT - X

Below you can find details of the second meeting of Fall 2015 term.

Date:14th of November, 2015, Saturday

Place: Istanbul Center for Mathematical Sciences (IMBM), Bogazici University South Campus (Campus map)

How to get to IMBM

14:30 - 15:30 The Tchebotarev Density Theorem (Mehpare Bilhan - METU)

Notes taken by Özlem Beyarslan of the talk by Mehpare Bilhan on the first meeting.

Notes taken by Alp Bassa of the talk by Mehpare Bilhan on the first meeting.

A nice paper by Stevenhagen and Lenstra on "Chebotarëv and his density theorem", published in the Mathematical Intelligencer.

16:00 - 17:00 Seiberg-Witten invariants of 4-manifolds (Çağrı Karakurt - Boğaziçi University)

Abstract: Donaldson proved his celebrated diagonalization theorem by studying the solutions Yang-Mills equation. Since then gauge theory has been an extremely important tool for understanding the topology of 4-manifolds. With the advent of Seiberg-Witten equations, which significantly simplified and extended the use of gauge theory, the field of 4-manifolds has experienced a period of phenomenal growth and development. This lecture will be on the construction and properties of the smooth 4-manifold invariants which are extracted from the moduli space of solutions of Seiberg-Witten equations.

A review paper by Bayram Tekin on Seiberg-Witten theory written in 1997 (untouched since then)

17:30 - 18:30 Combinatorics of Schubert Polynomials (Olcay Coşkun - Boğaziçi University)

Abstract: Schubert polynomials are polynomial representatives of Schubert cycles in the cohomology ring of flag varieties. Due to their nature, it is possible to describe these polynomials in a purely combinatorial way. In this second part of the series, we introduce Schubert polynomials algebraically, and discuss some combinatorial descriptions of them.

Notes taken by Özlem Beyarslan of the talk by Özer Öztürk on the first meeting.

Notes taken by Alp Bassa of the talk by Özer Öztürk on the first meeting.