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Değerli liste üyeleri, <br>
<br>
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: <br>
<br>
Başlık: Some Problems and A Possible Conjecture On Half-Integral
Weight Modular Forms
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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.<br>
<pre wrap="">
This is a joint work with S. Purkait (Kyushu), G. Wiese (Luxembourg), S. Arias-de-Reyna (Luxembourg).</pre>
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Bölümümüzdeki genel seminerlere ve diger araştırma
faaliyetlerine: <br>
<br>
<a class="moz-txt-link-freetext"
href="http://math.gsu.edu.tr/faaliyet.html">http://math.gsu.edu.tr/faaliyet.html</a>
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adresinden ulaşabilirsiniz. <br>
<br>
Saygılarımla, <br>
<br>
-- <br>
Ayberk Zeytin <br>
Matematik Bölümü <br>
Galatasaray Üniversitesi <br>
<a class="moz-txt-link-freetext"
href="http://math.gsu.edu.tr/azeytin/">http://math.gsu.edu.tr/azeytin/</a>
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