Geodesic
Igor' Moiseevich Krichever (on his 70th birthday)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 4, pp. 733-743 
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/
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     title = {Igor' {Moiseevich} {Krichever} (on his 70th birthday)},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {733--743},
     year = {2021},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[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