Sergiy Ovsienko (01.05.1953--25.01.2016)
The famous Ukrainian mathematician Sergiy Ovsienko passed away on January 25, 2016. It was a sorrowful event and a grievous loss for the whole Ukrainian mathematical community, especially for those who knew him closely. We knew him as a talented and original scientist, as an outstanding teacher, as...
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| Дата: | 2017 |
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| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155923 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Sergiy Ovsienko (01.05.1953--25.01.2016) // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — англ. |
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irk-123456789-1559232019-06-18T01:30:30Z Sergiy Ovsienko (01.05.1953--25.01.2016) The famous Ukrainian mathematician Sergiy Ovsienko passed away on January 25, 2016. It was a sorrowful event and a grievous loss for the whole Ukrainian mathematical community, especially for those who knew him closely. We knew him as a talented and original scientist, as an outstanding teacher, as a kind and sensitive person, as a good friend. 2017 Article Sergiy Ovsienko (01.05.1953--25.01.2016) // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/155923 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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The famous Ukrainian mathematician Sergiy Ovsienko passed away on January 25, 2016. It was a sorrowful event and a grievous loss for the whole Ukrainian mathematical community, especially for those who knew him closely. We knew him as a talented and original scientist, as an outstanding teacher, as a kind and sensitive person, as a good friend. |
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Article |
| title |
Sergiy Ovsienko (01.05.1953--25.01.2016) |
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Sergiy Ovsienko (01.05.1953--25.01.2016) Algebra and Discrete Mathematics |
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Sergiy Ovsienko (01.05.1953--25.01.2016) |
| title_full |
Sergiy Ovsienko (01.05.1953--25.01.2016) |
| title_fullStr |
Sergiy Ovsienko (01.05.1953--25.01.2016) |
| title_full_unstemmed |
Sergiy Ovsienko (01.05.1953--25.01.2016) |
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sergiy ovsienko (01.05.1953--25.01.2016) |
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Інститут прикладної математики і механіки НАН України |
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2017 |
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http://dspace.nbuv.gov.ua/handle/123456789/155923 |
| citation_txt |
Sergiy Ovsienko (01.05.1953--25.01.2016) // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — англ. |
| series |
Algebra and Discrete Mathematics |
| first_indexed |
2025-07-14T08:08:04Z |
| last_indexed |
2025-07-14T08:08:04Z |
| _version_ |
1837608977234395136 |
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Sergiy Ovsienko
(01.05.1953 – 25.01.2016)
The famous Ukrainian mathematician Sergiy Ovsienko passed away
on January 25, 2016. It was a sorrowful event and a grievous loss for
the whole Ukrainian mathematical community, especially for those who
knew him closely. We knew him as a talented and original scientist, as an
outstanding teacher, as a kind and sensitive person, as a good friend.
Sergiy Ovsienko was born on May 1, 1953, in the family of teachers,
in the village Hermanivka, Obukhiv district. Though his parents were
philologists, they appreciated Sergiy’s abilities to mathematics. So in
1967 he entered the Republican physico-mathematical boarding school
attached to the Kyiv Taras Shevchenko University. His school teacher in
mathematics, Volodymyr Vyshensky, who was also an assistant professor
at the Chair of Algebra and Mathematical Logic, highly appraised the
abilities, persistence and motivation of the young boy and perhaps played
the crucial role in his formation. As a school student, Sergiy regularly
D Sergiy Ovsienko (01.05.1953 – 25.01.2016)
participated in Republican and All-Union mathematical olympiads, always
being among the winners. In 1970 he graduated from the school with
the highest distinction (golden medal) and entered the Department of
Mechanics and Mathematics of the University. From his first years at the
University, Sergiy was among the best students and actively participated
in a lot of extra lectures and seminars, especially in algebra. Maybe, his
preferences were motivated both by the influence of V. Vyshensky and
by the personal charisma of professor Lev Kaluzhnin who was the head
of the Chair of Algebra and Mathematical Logic and gave him lectures.
Thus he took special courses in group theory, in representation theory, in
homological algebra, etc. His first investigations, included in his diploma
project, were devoted to a new branch of the theory of representations,
namely, matrix problems and representations of quivers. He managed to
construct analogues of reflection functors for representations of quivers
with one zero relation and thus transferred to them the results of Bernstein–
Gelfand–Ponomarev. One has to emphasize that to do so, he considered
not only representations of quivers with relations, but also introduced a
wider class of matrix problems, which cannot be formulated in terms of
representations of algebras. In 1975 Sergiy Ovsienko got Diploma (Master
degree) from the University and became a graduate student at the Institute
of Mathematics of the Academy of Sciences of Ukraine. His advisor there
was Andrei Roiter, the leader of the group of young mathematicians
working in representation theory. During his study there, Sergiy Ovsienko
obtained several deep and original results in the theory of matrix problems
and integral bilinear forms, as well as important results on classification of
such forms. He established (together with A. Roiter) the relations between
non-symmetric Tits form and homological properties of representations of
quivers (at the same time it was done by C.M. Ringel). Independently of
V. Kac he defined root systems for a wide class of integral quadratic forms
related to representations of quivers. He also proved the boundedness
of roots for weakly positive forms. These results played an essential role
in the development of the theory of matrix problems, which had just
originated from the works of Kyiv school. This theory always remained
in the center of his scientific interests and his input in its development
is impossible to overestimate. In 1978 Sergiy Ovsienko was awarded the
degree of Candidate of Sciences (an analogue of Ph.D.).
In 1982 Sergiy Ovsienko returned to the Department of Mechanics
and Mathematics of the Kyiv Taras Shevchenko University. First he
worked as a researcher and the head of a laboratory, and in 1988 he
started his teaching at the Chair of Algebra and Mathematical Logic,
Sergiy Ovsienko (01.05.1953 – 25.01.2016) E
first as an assistant, then an associate and finally a full professor. He
was indeed an outstanding teacher, and a lot of his students remember
him as a person who has awaken in them an interest and abilities to
research in mathematics. In particular, he played an important, maybe
crucial role in the formation of of such graduates from the Kyiv algebraic
school as V. Bavula, V. Bekkert, I. Burban, V. Futorny, A. Khomenko,
V. Levandovsky, V. Mazorchuk.
An important event in his scientific career was the All-Union Alge-
braic colloquium of 1989 in Novosibirsk, where, for the first time at such
colloquia, there was a big number of foreign mathematicians. The results
presented there by Sergiy Ovsienko were indeed very deep and interesting.
Due to support of German mathematicians, especially of C.M. Ringel,
Sergiy Ovsienko obtained the Humboldt grant, so had possibility to visit
European universities and personally contacted a lot of leading scientists.
It certainly had a great influence on his further research. He also used
his contacts with European mathematicians to help the students of the
Kyiv Taras Shevchenko University to continue their study in the leading
European universities. In 2006 Sergiy Ovsienko was awarded degree of
Doctor of Sciences.
In this period Sergiy Ovsienko essentially broadened the area of his
research. In particular, he was the author of a lot of new ideas and meth-
ods in the representation theory of Lie algebras. Together with Yu. Drozd
and V. Futorny he introduced a new conception of Harish-Chandra sub-
algebras and Gelfand–Tsetlin modules. Further, in collaboration with
V. Futorny, and A. Molev he extended this theory to representations of
restricted Yangians and current algebras and also constructed Gelfand–
Tsetlin bases in finite W-algebras and shifted Yangians. His one of the most
prominent results was the proof of existence of Gelfand–Tsetlin modules
with arbitrary Gelfand–Tsetlin characters and finiteness of isomorphism
classes of such modules with a prescribed character. In connection with
these questions, he introduced (together with V. Futorny) the notion
of Galois orders and obtained deep results on their structure and rep-
resentations. They also proved the Gelfand–Kirillov conjecture for the
skew fields of fractions of finite W-algebras and gave a classification of
generic irreducible Gelfand–Tsetlin modules for such algebras (together
with A. Molev). Sergiy Ovsienko also obtained several essential results in
the theory of generalized Verma modules (together with V. Mazorchuk).
He also studied quasi-hereditary algebras and more general classes of
stratified algebras, where he collaborated with S. König, V. Mazorchuk,
C. Stroppel. He studied homological properties of such algebras, in par-
F Sergiy Ovsienko (01.05.1953 – 25.01.2016)
ticular, constructed duality in their derived categories, generalized the
construction of Ringel dual, proved that in each quasi-hereditary algebra
there is a Borel subalgebra and it is Morita invariant. Together with
V. Lyubashenko, they obtained deep results on A∞-categories. They
also organized and conducted a seminar on derived categories and their
applications at the Institute of Mathematics.
Certainly, Sergiy Ovsienko continued his work in the theory of matrix
problems, first of all, in the study of representations of boxes, as one of the
most powerful tools in representation theory. Together with Yu. Drozd,
they considered Galois coverings of boxes and algebras, proved that Galois
coverings with torsion free Galois groups preserve representation types
of boxes and algebras and established relations of representations of the
original and the covering box or algebra in finite and tame cases. Following
Burt–Butler construction, he established deep relations of boxes with
quasi-hereditary algebras, and, using ideas of the theory of A∞-algebras
and DG-categories, gave a construction of a dual box. We are convinced
that the ideas of Sergiy Ovsienko in this area will have a great impact on
its further development.
The results of Sergiy Ovsienko as well as his original ideas were highly
appreciated by the world mathematical community. His numerous talks
at the scientific conferences and workshops through the world always
attracted deep interest of his colleagues. He actively collaborated with
the scientists from Germany, Sweden, Brazil and other countries.
The death of Sergiy Ovsienko has deprived us of a prominent scientist,
an outstanding teacher, sensitive and honest person, good and trusty
friend. His colleagues and students will always remember him.
V. Bavula, O. Bezushchak, V. Bekkert,
V. Bondarenko, I. Burban, M. Chernikov,
Yu. Drozd, A. Ganyushkin, R. Grigorchuk,
V. Futorny, V. Kirichenko, V. Levandovsky,
V. Lyubashenko, V.Mazorchuk, A. Oliynyk,
A. Petravchuk, V. Plakhotnyk, V. Sergeichuk,
Ya. Sysak, V. Vyshensky, A. Zhuchok, Yu. Zhuchok
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