[Turkmath:5250] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,
19 Kasım Cuma günü saat 15:00'da * Dr. Enis Kaya *(Max Planck Institute for
Mathematics in the Sciences - Almanya )*  "* *p-adic Integration Theories
on Curves**”  *başlıklı bir seminer verecektir. Seminerin detayları aşağıda
olup tüm ilgilenenler davetlidir.

Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak
için aşağıdaki linki kullanabilirsiniz:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1636973446377?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d

Seminere bağlanırken aşağıdaki pencereyi görürseniz,


[image: image.png]


lütfen* Allow (İzin ver) *seçeneğine tıklayınız. Bu sizin toplantıya kamera
ve mikrofonunuzla bağlanabilmenizi sağlar.


Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.


Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.

Saygılarımızla.


Dear all,

*Dr. Enis Kaya* from Max Planck Institute for Mathematics in the Sciences
(Germany) will give a talk titled  *"* *p-adic Integration Theories on
Curves**”* on November 19th at 15:00. All interested are invited.

Abstract:  For curves over the field of p-adic numbers, there are two
notions of p-adic integration: Berkovich-Coleman integrals which can be
performed locally, and Vologodsky integrals with desirable number-theoretic
properties. These integrals have the advantage of being insensitive to the
reduction type at p, but are known to coincide with Coleman integrals in
the case of good reduction. Moreover, there are practical algorithms
available to compute Coleman integrals.
Berkovich-Coleman and Vologodsky integrals, however, differ in general. In
this talk, we give a formula for passing between them. To do so, we use
combinatorial ideas informed by tropical geometry. We also introduce
algorithms for computing Berkovich-Coleman and Vologodsky integrals on
hyperelliptic curves of bad reduction. By covering such a curve by certain
open spaces, we reduce the computation of Berkovich-Coleman integrals to
the known algorithms on hyperelliptic curves of good reduction. We then
convert the Berkovich-Coleman integrals into Vologodsky integrals using our
formula. We illustrate our algorithm with a numerical example.
This talk is partly based on joint work with Eric Katz.

Microsoft Teams platform will be used for the seminar. To join the seminar,
please use the following link:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1636973446377?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d

If you see the following window when connecting to the seminar,
[image: image.png]



please select *Allow**. *Then you will be able to use your microphone and
camera during the seminar.


Please use your real and complete name when you enter the system.

Please switch your microphone off unless you are speaking.


Sincerely
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