[Turkmath:285] " Çarşı her şeye karşı" bir farkla, elbette matematiğe değil!: Levent Alpoge, O da bir fanatik...

[yilmaz akyildiz]

İbrahim Emre Kıvanççı nın facebook undan:

"harward birincisi türk matematikçi Levent Alpöge bir konuşmasında beşiktaş
forması giymiş koyu fanatik"

https://vimeo.com/117454740



On Mon, Mar 2, 2015 at 12:42 AM, Turk Matematik Dernegi <tmd at tmd.org.tr>
wrote:

> Degerli Liste uyeleri,
>
>
>
> Matematikte alaninda seckin arastima yapmis olan lisans ogrencilerine AMS,
> MAA ve SIAM tarafindan verilen Morgan Odulu'nun 2015 yilindaki sahibi
> bilindigi uzere Levent Alpoge olmustur.
>
>
>
> Morgan odulu bugune kadar aralarinda 2014 ICM Fields Madalyasi sahibi
> Manjul Bhargava'nin da bulundugu pek cok degerli matematikciye verilmistir.
> Morgan odulu verilenlerin listesine ve odul hakkinda daha genis bilgiye
> http://en.wikipedia.org/wiki/Morgan_Prize adresinden ulasilabilir.
>
>
>
> Levent Alpoge Turk Matematik Dernegi'nin davetlisi olarak 13 Mart Cuma
> gunu saat 14:00’te dernegimizin bulundugu Sabanci Universitesi – Karakoy
> Minerva Palas'ta baslik ve ozeti asagida paylasilan konusmayi
> gerceklestirecektir. Tum uyelerimize ve matematikcilere duyurulur.
>
>
>
> Levent Alpoge'nin ziyareti vesilesiyle, TMD'nin Matematik Arastirma Dostu
> (MAD) projesine desteklerini esirgemeyen bagiscilarimiza bir kere daha
> tesekkur ederiz.
>
>
>
> TMD-Yonetim Kurulu
>
>
>
>
>
> Title: The average elliptic curve has few integral points.
>
>
>
> Abstract:  It is a theorem of Siegel that the Weierstrass model y^2 = x^3
> + Ax + B of an elliptic curve has finitely many integral points. A "random"
> such curve should have no points at all. I will show that the average
> number of integral points on such curves (ordered by height) is bounded -
> in fact, by 66. The methods combine a Mumford-type gap principle, LP bounds
> in sphere packing, and results in Diophantine approximation.
>
> The same result also holds (though I have not computed an explicit
> constant) for the families
>
> y^2 = x^3 + Ax, y^2 = x^3 + B, and y^2 = x^3 - n^2 x.
>
> If I have time I will also mention why the average is strictly smaller
> than one assuming the minimalist conjecture (that 50% of curves have rank
> zero and 50% have rank one).
>
>
>
> _______________________________________________
> Turkmath mailing list
> Turkmath at listweb.bilkent.edu.tr
> http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/listinfo/turkmath
>
>
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