Yan Soibelman
Encyclopedia
Yakov Soibelman born 15 April 1956 (Kiev
, USSR) is a Russian
mathematician
, professor of Kansas State University
(Manhattan, USA), member of the Kiev Mathematical Society (Ukraine
), founder of Manhattan Mathematical Olympiad.
) is devoted to various algebraic and differential-geometric aspects of homological mirror symmetry
, including a proof of Deligne conjecture about operations on the cohomological Hochschild complex, and a direct construction of Calabi-Yau varieties based on SYZ conjecture
and non-archimedean geometry. In a recent preprint a new hypothetical wall-crossing
formula for changes of BPS states was proposed.
Kiev
Kiev or Kyiv is the capital and the largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population as of the 2001 census was 2,611,300. However, higher numbers have been cited in the press....
, USSR) is a Russian
Russians
The Russian people are an East Slavic ethnic group native to Russia, speaking the Russian language and primarily living in Russia and neighboring countries....
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, professor of Kansas State University
Kansas State University
Kansas State University, commonly shortened to K-State, is an institution of higher learning located in Manhattan, Kansas, in the United States...
(Manhattan, USA), member of the Kiev Mathematical Society (Ukraine
Ukraine
Ukraine is a country in Eastern Europe. It has an area of 603,628 km², making it the second largest contiguous country on the European continent, after Russia...
), founder of Manhattan Mathematical Olympiad.
Scientific work
Yan Soibelman is a specialist in theory of quantum groups. He introduced the notion of quantum Weyl group, studied algebras of functions on compact quantum groups, and meromorphic braided monoidal categories. His recent work (mainly in collaboration with Maxim KontsevichMaxim Kontsevich
Maxim Lvovich Kontsevich is a Russian mathematician. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami...
) is devoted to various algebraic and differential-geometric aspects of homological mirror symmetry
Homological mirror symmetry
Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.-History:...
, including a proof of Deligne conjecture about operations on the cohomological Hochschild complex, and a direct construction of Calabi-Yau varieties based on SYZ conjecture
SYZ conjecture
The SYZ conjecture is an attempt to understand the mirror symmetry conjecture, an issue in theoretical physics and mathematics. The original conjecture was proposed in a paper by Strominger, Yau, and Zaslow, entitled "Mirror Symmetry is T-duality"....
and non-archimedean geometry. In a recent preprint a new hypothetical wall-crossing
Wall-crossing
In algebraic geometry and string theory, the phenomenon of wall-crossing describes the discontinuous change of a certain quantity, such as an integer geometric invariant, an index or a space of BPS state, across a codimension one wall in a space of stability conditions, a so-called wall of marginal...
formula for changes of BPS states was proposed.