[Turkmath:5541] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,
8 Nisan Cuma günü saat 14:00'da * Dr. Oğuzhan Yürük  *(TU Berlin- Almanya)
*"*  *How to Construct Polytopes from Polynomials, and Why? **”* 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.tacv2/1649141048717?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%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. Oğuzhan Yürük* from TU Berlin (Germany) will give a talk titled *"*  *How
to Construct Polytopes from Polynomials, and Why? **”*  on April 8th at
14:00. All interested are invited.

Abstract: Certifying that a given polynomial function cannot take negative
values is useful in the context of many mathematical and scientific
applications. One way to address this certification problem is to
understand the combinatorial structure underlying the support of the
polynomial that we are interested in. Given a polynomial f, the support of
f consists of all of its exponent vectors, and the Newton polytope
associated to f is the convex hull of its support. The support of the
polynomial f yields a signed and weighted point configuration whose points
are in the Newton polytope of f. The main objective of this talk is to
present some known and novel techniques that exploit this combinatorial
information about the polynomial f, in order to draw conclusions about the
nonnegativity of f. The talk is structured in three main sections with
increasing difficulty. The first section is dedicated to a brief revision
of some definitions and facts about polynomials and polyhedral geometry. In
the second part of the talk, we present two techniques to decide the
nonnegativity using the information encoded in the aforementioned point
configuration. In the last section, we show some explicit applications of
these techniques to detect the existence of multiple solutions in certain
ODE systems arising from the chemical reaction networks theory.

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.tacv2/1649141048717?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%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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