[Turkmath:8888] Mimar Sinan Üniversitesi'nde Matematik Semineri

[Ayhan Gunaydin]

Değerli liste üyeleri,
Mimar Sinan Güzel Sanatlar Üniversitesi'ndeki, Matematik Semineri'nde bu hafta Hatice Boylan konuşuyor. Detaylar aşağıda.
İyi çalışmalar,ayhan 



Konuşmacı: Hatice Boylan (İstanbul Üniversitesi ve Max Planck Institut für Mathematik)

Başlık: Linear characters of Hilbert Modular Groups and associated automorphic forms
Özet: According to a general philosophy to a linear character of an arithmetic group there should be associated an interesting automorphic form transforming under the given group with this character. The most prominent example for this is the group SL(2,Z) (or rather its double cover Mp(2,Z)) and the Dedekind eta function. A natural question is for the situation for the Hilbert modular groups. Surprisingly, the linear characters of the Hilbert modular groups were not known until recently. In this talk, we shall report about recent joint work with Nils Skoruppa, where we determined all linear characters of the Hilbert modular groups. Furthermore, I shall explain that to these characters correspond indeed automorphic forms (which I found in my thesis). These automorphic forms can be regarded as analogues of the famous Jacobi theta function which occurs in the Jacobi triple product identity. The first Taylor coefficients of these new functions are candidates for generalizing the Dedekind eta function to number fields.
Yer: MSGSÜ, Bomonti Kampüsü (Harita), Matematik Bölümü Seminer Odası.
Zaman: 5 Nisan 2013, Cuma, 16:00

http://math.msgsu.edu.tr/~ayhan/Seminars
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