[Turkmath:8715] Seminer ilanı

[Basak Koca]

Merhaba,

26 Aralık 2012 Çarşamba günü saat 13.30 da İstanbul Üniversitesi Matematik Bölümü Seminer Salonu'nda 
Yard.Doç.Dr. Hatice BOYLAN (İstanbul Üniversitesi) tarafından bir seminer verilecektir.Konuşma ile ilgili bilgiler aşağıdaki gibidir.  Başlık: Linear characters of Hilbert Modular Groups and associated automorphic forms Özeti: 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.
 İyi çalışmalar. Araş.Gör. Beyaz Başak KOCA 

 		 	   		  
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