[Turkmath:518] GSÜ Matematik Bölümü seminer duyurusu: İlker İnam

[Ayberk Zeytin]

Değerli liste üyeleri,

Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 20 
Mayıs (Çarşamba günü) saat 15.00'da FEF 10 nolu sınıftaki konuşmacımız 
İlker İnam (Bilecik Şeyh Edebali Üniversitesi) olacaktır. Konuşma ile 
ilgili detaylı bilgiler şöyledir:

Başlık: Some Problems and A Possible Conjecture On Half-Integral Weight 
Modular Forms

Özet: By the celebrated work of G. Shimura, our knowledge on modular 
forms of half-integral weight has started to grow. Like in the case of 
integral weight, they also have arithmetic significance, so both have 
attracted attention for many years. Recently, one of the breakthrough 
and very significant results in pure mathematics is the proof of the 
Sato-Tate conjecture for non-CM modular eigenforms of integral weight 
(even for Hilbert eigenforms) by Taylor, Barnet-Lamb, Geraghty and 
Harris. A special case of the Sato-Tate theorem states that signs of 
coefficients of integral weight Hecke eigenforms are equidistributed. 
That such should also be the case for half-integral weight forms was 
conjectured by Kohnen and Bruinier. In this talk, we will discuss the 
motivation behind this question and explain how the Shimura lift and the 
Sato-Tate theorem can be exploited to obtain sign equidistribution for 
certain subsets of the coefficients of half-integral weight eigenforms. 
Finally, we are interested in the following question: Is it possible 
state a conjecture like Sato-Tate in the case of half-integral weight 
modular forms where the question is much more complicated. We will 
conclude with reporting recent developments on this problem.

This is a joint work with S. Purkait (Kyushu), G. Wiese (Luxembourg), S. Arias-de-Reyna (Luxembourg).


Bölümümüzdeki genel seminerlere ve diger araştırma faaliyetlerine:

http://math.gsu.edu.tr/faaliyet.html

adresinden ulaşabilirsiniz.

Saygılarımla,

-- 
Ayberk Zeytin
Matematik Bölümü
Galatasaray Üniversitesi
http://math.gsu.edu.tr/azeytin/


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