Alexander Givental
Alexander B. Givental (* Russian Александр Борисович Гивенталь ; April 27, 1958 ) is a Russian-born American mathematician who deals with symplectic topology , singularity theory and algebraic geometry with interactions with string theory.
Givental is a student of Vladimir Arnold , with whom he received his doctorate in 1987 from Lomonosov University ( Singularities of Solutions of Hamilton-Jacobi Equations in Variational Problems with Inequality Constraints ). He has been a professor at Berkeley University since the mid-1990s . From 1993 to 1995 he was a Sloan Research Fellow .
After string theorists were able to count rational curves on Calabi-Yau manifolds , especially on three-dimensional algebraic varieties ( quintics , solutions of 5th degree polynomials), with the help of mirror symmetry to other Calabi-Yau manifolds in 1991, Givental was one of the mathematicians who did this found a strict mathematical justification in special Calabi-Yau manifolds. Givental used while the Floerhomologie and Equivariant quantum cohomology .
In 1994 he was invited speaker at the ICM (Homological geometry and mirror symmetry).
He published the geometry textbook by Andrei Petrowitsch Kisseljow in English translation , which had been widespread in Russia since 1892 .
literature
- Givental: Equivariant Gromov-Witten-Invariants, Intern.Math.Research Notes, No. 13, 1996, pp. 613-663
- Givental: A Mirror theorem for toric complete intersections, in Kashiwara, Masaki (editor) "Topological field theory, primitive forms and related topics", Taniguchi Symposium, Kyoto 1996, Progress in Mathematics Vol. 160, Birkhäuser 1998, pp. 141-175
- Pandharipande "Rational curves on hypersurfaces - after A. Givental", Bourbaki seminar 1998
- Bini, Politi, Procesi, de Concini, On the Work of Givental relative to mirror symmetry, 1998
- David A. Cox , Sheldon Katz "Mirror Symmetry and Algebraic Geometry", AMS 1999
Web links
- Homepage in Berkeley
References and comments
- ↑ Alexander Givental in the Mathematics Genealogy Project (English)
- ^ Past Fellows. Alfred P. Sloan Foundation, accessed August 8, 2019 .
- ↑ Candelas, de la Ossa, Green, Parkes "A pair of Calabi-Yau-Manifolds as an exactly soluble superconformal theory", Nuclear Physics, B, Vol. 359, 1991, pp. 21-74
- ↑ From the point of view of the physicists, this symmetry showed the equivalence of different basic states of string theory. The Calabi-Yau manifolds correspond to the compactized dimensions.
- ↑ B. Lian, Liu, Shing-Tung Yau "Mirror Symmetry I", Asian Journal of Mathematics, Vol. 1, 1997, p. 729 gave another proof .
| personal data | |
|---|---|
| SURNAME | Givental, Alexander |
| ALTERNATIVE NAMES | Givental, Alexander B. |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | April 27, 1958 |