Neena Gupta Reports at the 100th HSE Seminar on Algebraic Transformation Groups
The distinguished Indian mathematician Professor Neena Gupta delivered a presentation at the celebration of the 100th seminar on algebraic transformation groups organised by the Laboratory on Algebraic Transformation Groups at the HSE Faculty of Computer Science. The seminar, which has been regularly held by the laboratory since 2020, is chaired by Ivan Arzhantsev, the head of the laboratory and dean of the HSE Faculty of Computer Science, along with senior research fellows of the laboratory Sergey Gayfullin and Alexander Perepechko.
Neena Gupta is a Doctor of Sciences, professor at the Indian Statistical Institute (Kolkata), member of the Indian National Science Academy, and winner of numerous international awards. In 2022, she was a guest speaker at the International Congress of Mathematicians.
The laboratory conducts research on a wide range of classical branches of algebra and algebraic geometry related to combinatorics, differential geometry, the theory of algebraic groups, Lie groups and algebras, and representation theory.
The 100th session of the seminar was dedicated to the Abhyankar–Sathaye epimorphism conjecture. The distinguished Indian mathematician Neena Gupta delivered a presentation. The professor praised the high level of organisation at the seminar provided by the staff of the HSE Faculty of Computer Science and added that she would be glad to speak at similar events in the future. The recording of the seminar can be viewed here.
‘In 2012, Neena Gupta found the first counterexample to the famous Zariski Cancellation Problem over fields of positive characteristic. Initially, the example was made in the affine 3-space, but later Neena managed to generalise it to all higher dimensions. This remarkable result aroused great interest among specialists worldwide and will undoubtedly go down in the history of mathematical science. In subsequent years, Neena actively worked on other problems in affine algebraic geometry and commutative algebra. Her presentation at our seminar was dedicated to recent advances in the Abhyankar–Sathaye conjecture, related to the problem of straightening subvarieties of affine space. The implementation of the joint project allowed us to become more closely acquainted with the team of Indian mathematicians working under Neena Gupta's supervision, to prepare several joint works, to explore new approaches and problem formulations for us, and also to study the original technique of working with affine algebras.’
In 2022, the joint project of Neena Gupta and Ivan Arzhantsev ‘Studies on affine spaces and related objects through algebraic group actions and locally nilpotent derivations’ received financial support from the Russian Science Foundation. In 2023, within the framework of the project, a seminar ‘Affine Spaces, Algebraic Group Actions, and LNDs’ was held in Kolkata, attended by the staff of the Laboratory of Algebraic Transformation Groups. From May 27 to June 1, 2024 a similar seminar is planned to be held in Saint Petersburg.
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