Geodesic
Igor' Moiseevich Krichever (on his 70th birthday)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 4, pp. 733-743 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{RM_2021_76_4_a7,
     author = {V. M. Buchstaber and A. N. Varchenko and A. P. Veselov and P. G. Grinevich and S. Grushevsky and S. Yu. Dobrokhotov and A. V. Zabrodin and A. V. Marshakov and A. E. Mironov and N. A. Nekrasov and S. P. Novikov and A. Yu. Okounkov and M. A. Olshanetsky and A. K. Pogrebkov and I. A. Taimanov and M. A. Tsfasman and L. O. Chekhov and O. K. Sheinman and S. B. Shlosman},
     title = {Igor' {Moiseevich} {Krichever} (on his 70th birthday)},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {733--743},
     year = {2021},
     volume = {76},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2021_76_4_a7/}
}
TY  - JOUR
AU  - V. M. Buchstaber
AU  - A. N. Varchenko
AU  - A. P. Veselov
AU  - P. G. Grinevich
AU  - S. Grushevsky
AU  - S. Yu. Dobrokhotov
AU  - A. V. Zabrodin
AU  - A. V. Marshakov
AU  - A. E. Mironov
AU  - N. A. Nekrasov
AU  - S. P. Novikov
AU  - A. Yu. Okounkov
AU  - M. A. Olshanetsky
AU  - A. K. Pogrebkov
AU  - I. A. Taimanov
AU  - M. A. Tsfasman
AU  - L. O. Chekhov
AU  - O. K. Sheinman
AU  - S. B. Shlosman
TI  - Igor' Moiseevich Krichever (on his 70th birthday)
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2021
SP  - 733
EP  - 743
VL  - 76
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/RM_2021_76_4_a7/
LA  - en
ID  - RM_2021_76_4_a7
ER  - 
%0 Journal Article
%A V. M. Buchstaber
%A A. N. Varchenko
%A A. P. Veselov
%A P. G. Grinevich
%A S. Grushevsky
%A S. Yu. Dobrokhotov
%A A. V. Zabrodin
%A A. V. Marshakov
%A A. E. Mironov
%A N. A. Nekrasov
%A S. P. Novikov
%A A. Yu. Okounkov
%A M. A. Olshanetsky
%A A. K. Pogrebkov
%A I. A. Taimanov
%A M. A. Tsfasman
%A L. O. Chekhov
%A O. K. Sheinman
%A S. B. Shlosman
%T Igor' Moiseevich Krichever (on his 70th birthday)
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2021
%P 733-743
%V 76
%N 4
%U http://geodesic.mathdoc.fr/item/RM_2021_76_4_a7/
%G en
%F RM_2021_76_4_a7
V. M. Buchstaber; A. N. Varchenko; A. P. Veselov; P. G. Grinevich; S. Grushevsky; S. Yu. Dobrokhotov; A. V. Zabrodin; A. V. Marshakov; A. E. Mironov; N. A. Nekrasov; S. P. Novikov; A. Yu. Okounkov; M. A. Olshanetsky; A. K. Pogrebkov; I. A. Taimanov; M. A. Tsfasman; L. O. Chekhov; O. K. Sheinman; S. B. Shlosman. Igor' Moiseevich Krichever (on his 70th birthday). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 4, pp. 733-743. http://geodesic.mathdoc.fr/item/RM_2021_76_4_a7/

[1] I. M. Krichever, “Algebraic-geometric construction of Zakharov–Shabat equations and their periodic solutions”, Soviet Math. Dokl., 17:2 (1976), 394–397 | MR | Zbl

[2] B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “The Schrödinger equation in a periodic field and Riemann surfaces”, Soviet Math. Dokl., 17 (1977), 947–951 | MR | Zbl

[3] I. M. Krichever, “Methods of algebraic geometry in the theory of non-linear equations”, Russian Math. Surveys, 32:6 (1977), 185–213 | DOI | MR | Zbl

[4] I. M. Krichever, “Integration of nonlinear equations by the methods of algebraic geometry”, Funct. Anal. Appl., 11:1 (1977), 12–26 | DOI | MR | Zbl

[5] I. M. Krichever, “Algebraic curves and non-linear difference equations”, Russian Math. Surveys, 33:4 (1978), 255–256 | DOI | MR | Zbl

[6] I. M. Krichever, S. P. Novikov, “Holomorphic bundles over algebraic curves and non-linear equations”, Russian Math. Surveys, 35:6 (1980), 53–79 | DOI | MR | Zbl

[7] I. M. Krichever, “Spektralnaya teoriya raznostnykh operatorov, algebraicheskaya geometriya i model Paierlsa”, V st.: “Zasedaniya seminara imeni I. G. Petrovskogo po differentsialnym uravneniyam i matematicheskim problemam fiziki”, UMN, 37:2(224) (1982), 259–260

[8] I. M. Krichever, “Algebro-geometric spectral theory of the Schrödinger difference operator and the Peierls model”, Soviet Math. Dokl., 265:1 (1982), 194–198 | MR | Zbl

[9] I. M. Krichever, “The Peierls model”, Funct. Anal. Appl., 16:4 (1982), 248–263 | DOI | MR

[10] I. M. Krichever, “Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model”, Funct. Anal. Appl., 20:3 (1986), 203–214 | DOI | MR | Zbl

[11] I. M. Krichever, S. P. Novikov, “Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons”, Funct. Anal. Appl., 21:2 (1987), 126–142 | DOI | MR | Zbl

[12] I. M. Krichever, S. P. Novikov, “Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space”, Funct. Anal. Appl., 21:4 (1987), 294–307 | DOI | MR | Zbl

[13] I. M. Krichever, “Method of averaging for two-dimensional “integrable” equations”, Funct. Anal. Appl., 22:3 (1988), 200–213 | DOI | MR | Zbl

[14] I. E. Dzyaloshinskiĭ, I. M. Krichever, J. Chronek, “New method of finding dynamic solutions in the Peierls model”, Soviet Phys. JETP, 67:7 (1988), 1492–1498 | MR

[15] I. M. Krichever, “Spectral theory of two-dimensional periodic operators and its applications”, Russian Math. Surveys, 44:2 (1989), 145–225 | DOI | MR | Zbl

[16] I. M. Krichever, S. P. Novikov, “Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces”, Funct. Anal. Appl., 23:1 (1989), 19–33 | DOI | MR | Zbl

[17] I. M. Krichever, “The $\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories”, Comm. Pure Appl. Math., 47:4 (1994), 437–475 ; (1992), 34 pp., arXiv: hep-th/9205110 | DOI | MR | Zbl

[18] A. Gorsky, I. Krichever, A. Marshakov, A. Mironov, A. Morozov, “Integrability and Seiberg–Witten exact solution”, Phys. Lett. B, 355:3-4 (1995), 466–474 | DOI | MR | Zbl

[19] I. M. Krichever, D. H. Phong, “On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories”, J. Differential Geom., 45:2 (1997), 349–389 ; (1996), 38 pp., arXiv: hep-th/9604199 | DOI | MR | Zbl

[20] I. Krichever, “Vector bundles and Lax equations on algebraic curves”, Comm. Math. Phys., 229:2 (2002), 229–269 ; (2001), 42 pp., arXiv: hep-th/0108110 | DOI | MR | Zbl

[21] I. Krichever, “Isomonodromy equations on algebraic curves, canonical transformations and Witham equations”, Mosc. Math. J., 2:4 (2002), 717–752 | DOI | MR | Zbl

[22] V. M. Buchstaber, I. M. Krichever, “Integrable equations, addition theorems, and the Riemann–Schottky problem”, Russian Math. Surveys, 61:1 (2006), 19–78 | DOI | DOI | MR | Zbl

[23] I. M. Krichever, O. K. Sheinman, “Lax operator algebras”, Funct. Anal. Appl., 41:4 (2007), 284–294 | DOI | DOI | MR | Zbl

[24] S. Grushevsky, I. Krichever, “The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces”, Geometry of Riemann surfaces and their moduli spaces, Surv. Differ. Geom., 14, Int. Press, Somerville, MA, 2009, 111–129 | DOI | MR | Zbl

[25] S. Grushevsky, I. Krichever, “Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants”, Duke Math. J., 152:2 (2010), 317–371 | DOI | MR | Zbl

[26] I. M. Krichever, “Real normalized differentials and Arbarello's conjecture”, Funct. Anal. Appl., 46:2 (2012), 110–120 | DOI | DOI | MR | Zbl

[27] A. V. Ilina, I. M. Krichever, N. A. Nekrasov, “Two-dimensional periodic Schrödinger operators integrable at an energy eigenlevel”, Funct. Anal. Appl., 53:1 (2019), 23–36 | DOI | DOI | MR | Zbl