Persons: Savin, Anton Yurievich

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Savin, Anton Yurievich

Total publications:	103 (103)
in MathSciNet:	90 (90)
in zbMATH:	70 (70)
in Web of Science:	61 (61)
in Scopus:	71 (71)
Cited articles:	67
Citations:	267
Presentations:	33

Number of views:
This page:	6203
Abstract pages:	10003
Full texts:	3423
References:	1240

Doctor of physico-mathematical sciences (2012)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

29.07.1975

E-mail:

Keywords:

elliptic operators, index theorems, noncommutative geometry, K-theory, characteristic classes, boundary value problems for elliptic operators, index, stratified manifold, operators with shifts.

UDC:

515.168.5, 517.956.22, 517.9, 517.986.32

MSC:

58j20, 58j28, 58j32, 19k56, 19k33, 35j55

Biography

Graduated from the Moscow State University in 1997 (Faculty of computational mathematics and cybernetics, department of nonlinear dynamical systems and control processing). I defended my Ph.D. thesis in 2000. I have over 75 publications, including 3 monographs.

Main publications:

A. Yu. Savin, “On the index of elliptic operators associated with a diffeomorphism of a manifold”, Dokl. Math., 82:3 (2010), 884-886
V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, Elliptic theory and noncommutative geometry. Nonlocal elliptic operators, Birkhäuser, Basel, 2008 , 224 pp.
V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, Elliptic theory on singular manifolds, Chapman & Hall/CRC, Boca Raton, FL, 2006 , 356 pp.
A. Savin, “Elliptic operators on manifolds with singularities and $K$-homology”, K-Theory, 34:1 (2005), 71-98
A. Savin, B. Sternin, “The eta invariant and parity conditions”, Adv. Math., 182:2 (2004), 173–203

https://www.mathnet.ru/eng/person8671

https://scholar.google.com/citations?user=6VfUMSEAAAAJ&hl=en

https://zbmath.org/authors/ai:savin.anton-yu

https://mathscinet.ams.org/mathscinet/MRAuthorID/637800

https://elibrary.ru/author_items.asp?spin=5029-6159

https://www.scopus.com/authid/detail.url?authorId=7103295692

https://arxiv.org/a/savin_a_1

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	Math. Notes, 116:2 (2024), 139–167
2.	K. N. Zhuikov, A. Yu. Savin, “On two methods of determining $\eta$-invariants of elliptic boundary-value problems”, CMFD, 70, no. 3, PFUR, M., 2024, 403–416

2023
3.	A. V. Boltachev, A. Yu. Savin, “Trajectory symbols and the Fredholm property of boundary value problems for differential operators with shifts”, Russ. J. Math. Phys., 30:2 (2023), 135–151	1 ^[x]
4.	A. Savin, E. Schrohe, “Trace expansions and equivariant traces on an algebra of Fourier integral operators on Rn”, Cyclic cohomology at 40: achievements and future prospects, Proc. Sympos. Pure Math., 105, AMS, 2023, 457–476	1 ^[x]
5.	A. Yu. Savin, E. N. Semenova, “A spectral Sobolev problem for the biharmonic operator”, Lobachevskii J. Math., 44:3 (2023), 950–955	3 ^[x]
6.	Math. Notes, 114:5 (2023), 1087–1091
7.	K. N. Zhuikov, A. Yu. Savin, “Eta-invariant of elliptic parameter-dependent boundary-value problems”, CMFD, 69, no. 4, PFUR, M., 2023, 599–620

2022
8.	A. Baldare, V. E. Nazaikinskii, A. Yu. Savin, E. Schrohe, “$C^*$-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators”, Math. Notes, 111:5 (2022), 701–721
9.	K. N. Zhuikov, A. Yu. Savin, “Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group”, Math. Notes, 112:5 (2022), 685–696
10.	K. N. Zhuikov, A. Yu. Savin, “Eta-invariant for parameter-dependent families with periodic coefficients”, Ufa Math. J., 14:2 (2022), 35–55
11.	N. R. Izvarina, A. Yu. Savin, “An Atiyah-Bott-Lefschetz theorem for relative elliptic complexes”, Lobachevskii J. Math., 43:10 (2022), 2675–2684	1 ^[x]
12.	A. V. Boltachev, A. Yu. Savin, “Index of twisted elliptic boundary value problems associated with isometric group actions”, Lobachevskii J. Math., 43:10 (2022), 2635–2646
13.	V. E. Nazaikinskii, A. Yu. Savin, “On semiclassical asymptotics for nonlocal equations”, Russ. J. Math. Phys., 29:4 (2022), 568–575
14.	A. V. Boltachev, A. Yu. Savin, “Periodic cyclic cocycles on the Boutet de Monvel symbol algebra”, Russ. J. Math. Phys., 29:4 (2022), 417–425
15.	A. Savin, E. Schrohe, “Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group”, Adv. Math., 409, Part A (2022), 108624 , 37 pp.	2 ^[x]
16.	A. Savin, E. Schrohe, “An index formula for groups of isometric linear canonical transformations”, Doc. Math., 27 (2022), 983–1013

2021
17.	A. Yu. Savin, K. N. Zhuikov, “$\eta$-Invariant and index for operators on the real line periodic at infinity”, Eurasian Math. J., 12:3 (2021), 57–77 ;	2 ^[x]

2020
18.	A. Savin, E. Schrohe, “Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations”, Journal of Functional Analysis, 278:5 (2020), 108400 , 45 pp.	9 ^[x]
19.	N. R. Izvarina, A. Yu. Savin, “Complexes in relative elliptic theory”, Eurasian Math. J., 11:4 (2020), 45–57 ;	1 ^[x]

2019
20.	D. A. Poluektova, A. Yu. Savin, B. Yu. Sternin, “On the algebra of operators corresponding to the union of smooth submanifolds”, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, CMFD, 65, no. 4, PFUR, M., 2019, 672–682
21.	V. E. Nazaikinskii, A. Yu. Savin, P. A. Sipailo, “Sobolev Problems with Spherical Mean Conditions and Traces of Quantized Canonical Transformations”, Russian Journal of Mathematical Physics, 26 (2019), 483–498
22.	A. Savin, E. Schrohe, B. Sternin, “Elliptic operators associated with groups of quantized canonical transformations”, Bull. Sci. Math., 155 (2019), 141–167	7 ^[x]

2018
23.	A. Yu. Savin, B. Yu. Sternin, E. Schrohe, “Elliptic operators associated with groups of quantized canonical transformations”, Russian Math. Surveys, 73:3 (2018), 546–548
24.	A. Yu. Savin, “On homotopic classification of elliptic problems with contractions and $K$-groups of corresponding $C^*$-algebras”, CMFD, 64, no. 1, 2018, 164–179

2017
25.	A. Savin, B. Sternin, Introduction to complex theory of differential equations, Birkhäuser, Basel, 2017 , 1-128 pp.	2 ^[x]
26.	A.Yu. Savin, B.Yu. Sternin, “Elliptic differential dilation-contraction problems on manifolds with boundary”, Differ. Equ., 53:5 (2017), 665–676

2018
27.	A. Yu. Savin, B. Yu. Sternin, “Elliptic G-Operators on Manifolds with Isolated Singularities”, Journal of Mathematical Sciences, 233 (2018), 930–948

2016
28.	A. Yu. Savin, B. Yu. Sternin, “Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary”, Ufa Math. Journal, 8:3 (2016), 122–129
29.	A. Yu. Savin, B. Yu. Sternin, “Ellipticheskie zadachi s rastyazheniyami-szhatiyami na mnogoobraziyakh s kraem”, Doklady akademii nauk, 469:2 (2016), 154–156
30.	A.Yu. Savin, B.Yu. Sternin, “Elliptic dilation-contraction problems on manifolds with boundary. C*-theory”, Differ. Equ., 52:10 (2016), 1331–1340
31.	Anton Savin, Elmar Schrohe, Boris Sternin, Elliptic Operators Associated with Groups of Quantized Canonical Transformations, 2016 (Published online) , 23 pp., arXiv: arXiv:1612.02981

2020
32.	A. Yu. Savin, B. Yu. Sternin, “On Traces of Operators Associated with Actions of Compact Lie Groups”, Journal of Mathematical Sciences, 248 (2020), 647–660 , arXiv: 1612.02286

2015
33.	A. Savin, E. Schrohe, B. Sternin, “Uniformization and Index of Elliptic Operators Associated with Diffeomorphisms of a Manifold”, Russian Journal of Mathematical Physics, 22:3 (2015), “410–420” , arXiv: 1111.1525	7 ^[x]
34.	A. Savin, B. Sternin, “Differential equations on complex manifolds”, Geometric Methods in Physics (XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014), Trends in mathematics, eds. Piotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov, Springer, 2015, 273–292

2014
35.	A. Yu. Savin, B. Yu. Sternin, “Index of Sobolev problems on manifolds with many-dimensional singularities”, Differ. Equations, 50:2 (2014), 232–245
36.	A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators associated with fibrations”, Doklady Mathematics, 89:1 (2014), 61-64
37.	A.Yu. Savin, B. Yu. Sternin, “Index of nonlocal problems associated with a bundle”, Differ. Equations, 50:8 (2014), 1112–1121
38.	A. Yu. Savin, B.Yu. Sternin, “Index of elliptic operators for diffeomorphisms of manifolds”, J. of Noncommutative Geometry, 8:3 (2014), 695–734	11 ^[x]

2013
39.	A. Yu. Savin, B.Yu. Sternin, “Elliptic translators on manifolds with multidimensional singularities”, Differ. Equations, 49:4 (2013), 494–509
40.	A.Yu. Savin, B.Yu. Sternin, “Uniformization of nonlocal elliptic operators and KK-theory”, Dokl. Math., 87:1 (2013), 20–22
41.	A. Yu. Savin, B.Yu. Sternin, “On nonlocal Sobolev problems”, Doklady Mathematics, 88:1 (2013), “421–424”
42.	A.Savin, B. Sternin, “Elliptic theory for operators associated with diffeomorphisms of smooth manifolds”, Pseudo-Differential Operators, Generalized Functions and Asymptotics, Operator Theory: Advances and Applications, 231, Springer, Basel, 2013, 1–26	5 ^[x]
43.	A. Yu. Savin, B. Yu. Sternin, “Uniformization of nonlocal elliptic operators and KK-theory”, Russian Journal of Mathematical Physics, 20:3 (2013), 345–359	6 ^[x]

2014
44.	A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “On the Index Formula for an Isometric Diffeomorphism”, Journal of Mathematical Sciences, 201:6 (2014), 818–829

2012
45.	A. Yu. Savin, B.Yu. Sternin, “Elliptic translators on manifolds with point singularities”, Differ. Equations, 48:12 (2012), 1577–1585

2011
46.	A.Yu. Savin, B.Yu. Sternin, “On the index of elliptic translators”, Dokl. Math., 83:1 (2011), 76-79	3 ^[x]
47.	A. Yu. Savin, “On the index of nonlocal elliptic operators for compact Lie groups”, Cent. Eur. J. Math., 9:4 (2011), 833-850	5 ^[x]
48.	A. Yu. Savin, B. Yu. Sternin, “On the index of elliptic operators for the group of dilations”, Sb. Math., 202:10 (2011), 1505–1536
49.	A. Yu. Savin, “On the symbol of nonlocal operators in Sobolev spaces”, Differ. Equ., 47:6 (2011), 897–900
50.	A.Yu. Savin, B.Yu. Sternin, “An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold”, Dokl. Math., 83:3 (2011), 353–356
51.	A. Yu. Savin, “On the Index of Nonlocal Elliptic Operators Corresponding to a Nonisometric Diffeomorphism”, Math. Notes, 90:5 (2011), 701–714
52.	A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization”, Dokl. Math., 84:3 (2011), 846-849

2010
53.	A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$-algebras”, Sb. Math., 201:3 (2010), 377–417
54.	A. Yu. Savin, B. Yu. Sternin, “Noncommutative elliptic theory. Examples”, Proc. Steklov Inst. Math., 271 (2010), 193–211
55.	A.Yu. Savin, B.Yu. Sternin, “Index formulas for stratified manifolds”, Differ. Equ., 46:8 (2010), 1145-1156
56.	A.Yu. Savin, B.Yu. Sternin, “Nonlocal elliptic operators for compact Lie groups”, Dokl. Math., 81:2 (2010), 258-261	6 ^[x]
57.	A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators for the group of dilations”, Dokl. Math., 82:1 (2010), 519-522	1 ^[x]
58.	A. Yu. Savin, “On the index of elliptic operators associated with a diffeomorphism of a manifold”, Dokl. Math., 82:3 (2010), 884-886	2 ^[x]
59.	V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “On the Poincaré isomorphism in $K$-theory on manifolds with edges”, Journal of Mathematical Sciences, 170:2 (2010), 238–250
60.	V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Atiyah–Bott index on stratified manifolds”, Journal of Mathematical Sciences, 170:2 (2010), 229–237

2009
61.	A.Yu. Savin, B.Yu. Sternin, “Surgery and index formulas on stratified manifolds”, Dokl. Math., 80:1 (2009), 521-524
62.	A.Yu. Savin, B.Yu. Sternin, “The index of nonlocal elliptic operators over $C^*$-algebras”, Dokl. Math., 79:3 (2009), 369-372

2010
63.	V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Noncommutative geometry and classification of elliptic operators”, Journal of Mathematical Sciences, 164:4 (2010), 603–636

2008
64.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators”, $C^*$-algebras and Elliptic theory II, Trends in Mathematics, eds. Burghelea, Dan (ed.) et al., Birkhäuser, Basel, 2008, 183-206	1 ^[x]
65.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Elliptic theory on manifolds with corners. II: Homotopy classification and $K$-homology”, $C^*$-algebras and Elliptic theory II, Trends in Mathematics, eds. Burghelea, Dan (ed.) et al., Birkhäuser, Basel, 2008, 207-226	3 ^[x]
66.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators”, Dokl. Math., 77:3 (2008), 441-445
67.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, Elliptic theory and noncommutative geometry. Nonlocal elliptic operators, Birkhäuser, Basel, 2008 , 224 pp.	1 ^[x]

2007
68.	V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Homotopy classification of elliptic operators on stratified manifolds”, Izv. Math., 71:6 (2007), 1167–1192
69.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Pseudodifferential operators on stratified manifolds. I.”, Differ. Equ., 43:4 (2007), 536-549	3 ^[x]
70.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Pseudodifferential operators on stratified manifolds. II.”, Differ. Equ., 43:5 (2007), 704-716	3 ^[x]
71.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the homotopy classification of elliptic operators on manifolds with corners”, Dokl. Math., 75:2 (2007), 186-189	1 ^[x]

2006
72.	A. Savin, B. Sternin, “Pseudodifferential subspaces and their applications in elliptic theory”, $C^*$-algebras and elliptic theory, Trends in Mathematics, eds. Bojarski, Bogdan (ed.) et al., Birkhäuser, Basel, 2006, 247-289	1 ^[x]
73.	V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, Elliptic theory on singular manifolds, Chapman & Hall/CRC, Boca Raton, FL, 2006 , 356 pp.
74.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Homotopy classification of elliptic operators on stratified manifolds”, Dokl. Math., 73:3 (2006), 407-411	2 ^[x]

2005
75.	V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, “On the index of elliptic operators on manifolds with edges”, Sb. Math., 196:9 (2005), 1271–1305
76.	A. Savin, B. Sternin, “Boundary value problems on manifolds with fibered boundary”, Math. Nachr., 278:11 (2005), 1297-1317	5 ^[x]
77.	V.E. Nazaikinskii, G. Rozenblum, A.Yu. Savin, B.Yu. Sternin, “Guillemin transform and Toeplitz representations for operators on singular manifolds”, Spectral geometry of manifolds with boundary and decomposition of manifolds., Proceedings of the workshop, Roskilde, Denmark, August 6–9, 2003., Contemporary Mathematics, 366, eds. Booß-Bavnbek, Bernhelm (ed.) et al., AMS, Providence, RI, 2005, 281-306	2 ^[x]
78.	A. Savin, “Elliptic operators on manifolds with singularities and $K$-homology”, K-Theory, 34:1 (2005), 71-98	16 ^[x]
79.	V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, “The index problem on manifolds with edges”, Noncommutative geometry and representation theory in mathematical physics, Satellite conference to the fourth European congress of mathematics (July 5–10, 2004, Karlstad, Sweden), Contemporary Mathematics, 391, eds. Fuchs, Jürgen (ed.) et al., AMS, Providence, RI, 2005, 289-312
80.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “Pseudodifferential operators on manifolds with singularities and localization”, Dokl. Akad. Nauk, 402:6 (2005), 743-747

2004
81.	A. Yu. Savin, B. Yu. Sternin, “Defect of index in the theory of non-local problems and the $\eta$-invariant”, Sb. Math., 195:9 (2004), 1321–1358
82.	A. Savin, B. Sternin, “The eta invariant and parity conditions”, Adv. Math., 182:2 (2004), 173–203	1 ^[x]
83.	A. Savin, B. Sternin, “Index defects in the theory of spectral boundary value problems”, Aspects of boundary problems in analysis and geometry, Operator Theory: Advances and Applications, 151, eds. Gil, Juan (ed.) et al., Birkhäuser, Basel, 2004, 170-238	1 ^[x]
84.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the definition of pseudodifferential operators on manifolds with singularities”, Dokl. Math., 69:1 (2004), 41-44
85.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On the index of differential operators on manifolds with edges”, Dokl. Math., 69:1 (2004), 68-71
86.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On the existence of elliptic problems on manifolds with edges”, Dokl. Math., 69:2 (2004), 231-234
87.	A. Savin, B. Sternin, “Index for a class of nonlocal elliptic operators”, (in Russian), Spectral and evolution problems, Proceedings of the Fourteenth Crimean Autumn Mathematical School-Symposium (KROMSH-2003) (September 18 – 29, 2003, Sevastopol, Laspi), 14, Taurida National V. Vernadsky University, Simferopol, 2004, 34-40
88.	V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On pseudodifferential operators on manifolds with edges”, Dokl. Akad. Nauk, 398:4 (2004), 453-457

2003
89.	A. Savin, B.-W. Schulze, B. Sternin, “The $\eta$-invariant and elliptic operators in subspaces”, Jean Leray '99 Conference Proceedings, Math. Phys. Stud., 24, Kluwer Acad. Publ.,, Dordrecht, 2003, 373–387

2002
90.	A. Yu. Savin, B. Yu. Sternin, “The Eta-Invariant and Pontryagin Duality in $K$-Theory”, Math. Notes, 71:2 (2002), 245–261
91.	A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, “Elliptic operators in subspaces and the eta invariant”, K-Theory, 27:3 (2002), 253–272	6 ^[x]

2001
92.	A. Savin, B.-W. Schulze, B. Sternin, “On the homotopy classification of elliptic boundary value problems”, Partial differential equations and spectral theory (Clausthal, 2000), Oper. Theory Adv. Appl., 126, eds. Demuth, Michael (ed.) et al., Birkhäuser, 2001, 299–305	1 ^[x]
93.	A.Yu. Savin, B. Yu. Sternin, “The eta-invariant and parity conditions”, Dokl. Math., 63:2 (2001), 189-193
94.	A.Yu.Savin, B.Yu. Sternin, “On the problem of the homotopy classification of elliptic boundary value problems”, Dokl. Math., 63:2 (2001), 174-178	2 ^[x]

2000
95.	A. Yu. Savin, B. Yu. Sternin, “Elliptic operators in odd subspaces”, Sb. Math., 191:8 (2000), 1191–1213
96.	A. Yu. Savin, B. Yu. Sternin, “Subspaces defined by pseudodifferential projections, and some of their applications”, Dokl. Math., 61:2 (2000), 235-238
97.	A. Yu. Savin, Elliptic operators in subspaces and their applications, Dissertation for Cand. of Phys.-Math. Sciences (PhD), Moscow State University, Moscow, 2000

1999
98.	A. Yu. Savin, B. Yu. Sternin, “Elliptic operators in even subspaces”, Sb. Math., 190:8 (1999), 1195–1228
99.	A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, “On invariant index formulas for spectral boundary value problems”, Differ. Equ., 35:5 (1999), 709–718
100.	A. Yu. Savin, “On operators that allow the decomposition of index formulas for spectral boundary value problems”, Dokl. Math., 60:2 (1999), 220-222
101.	A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, Differ. Uravn., 35:5 (1999), 705–714

1997
102.	A. Yu. Savin, “Branching of terms for the one-dimensional Schrödinger equation”, Differ. Equ., 33:8 (1997), 1055–1062
103.	A. Yu. Savin, Differ. Uravn., 33:8 (1997), 1049–1056

Presentations in Math-Net.Ru

1.	Nonlocal elliptic boundary value problems and the theory of $C^$-algebras A. V. Boltachev, A. Yu. Savin Algebras in Analysis* October 18, 2024 17:00
2.	Atiyah-Singer theorem about the index of elliptic operators. Lecture 3 A. Yu. Savin Siberian summer school: Current developments in Geometry August 29, 2024 11:40
3.	Atiyah-Singer theorem about the index of elliptic operators. Lecture 2 A. Yu. Savin Siberian summer school: Current developments in Geometry August 27, 2024 09:30
4.	Atiyah-Singer theorem about the index of elliptic operators. Lecture 1 A. Yu. Savin Siberian summer school: Current developments in Geometry August 26, 2024 11:40
5.	Index of elliptic operators associated with group actions A. Yu. Savin, Abbas H Complex analysis and mathematical physics April 16, 2024 16:00
6.	Некоммутативная геометрия и топология в Московском университете A. S. Mishchenko, I. K. Babenko, A. A. Irmatov, V. M. Manuilov, F. Yu. Popelenskii, A. Yu. Savin, A. A. Arutyunov Noncommutative geometry and topology March 28, 2024 16:45
7.	Parameter dependent pseudodifferential boundary value problems and their applications to trace asymptotics and eta-invariants. A. Yu. Savin Scientific seminar on the differential and functional differential equations November 21, 2023 12:00
8.	$\eta$-invariants of elliptic boundary value problems A. Yu. Savin VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 17, 2023 16:35
9.	Eta-invariants for families of operators with shifts A. Yu. Savin, K. N. Zhuikov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 12, 2023 12:35
10.	Noncommutative residues and asymptotics of traces of operators associated with a metaplectic group A. Yu. Savin International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100) January 11, 2023 17:00
11.	Equivariant cyclic cocycles on the Boutet de Monvel symbol algebra A. Yu. Savin Algebras in Analysis December 9, 2022 18:00
12.	Index of elliptic boundary value problems associated with actions of discrete groups on manifolds with boundary A. Yu. Savin Complex analysis and mathematical physics December 6, 2022 16:00
13.	On nonlocal elliptic boundary value problems corresponding to infinite transformation groups A. Yu. Savin Scientific seminar on the differential and functional differential equations November 15, 2022 12:00
14.	О нелокальных эллиптических краевых задачах, отвечающих бесконечным группам преобразований A. Yu. Savin November 11, 2022 15:00
15.	A local index formula for noncommutative orbifolds A. Yu. Savin Modern methods, problems and applications of operator theory and harmonic analysis August 23, 2022 10:40
16.	Индекс нелокальных эллиптических краевых задач, ассоциированных с действиями дискретных групп A. Yu. Savin Noncommutative geometry and topology April 7, 2022 16:45
17.	О гомотопической классификации нелокальных эллиптических операторов на многообразиях с цилиндрическими концами А. Ю. Савин International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information Technologies of Derzhavin Tambov State University October 12, 2020 16:25
18.	Локальная теорема об индексе для метаплектических операторов A. Yu. Savin Noncommutative geometry and topology October 1, 2020 17:45
19.	Topological invariants of symbol of elliptic boundary value problem. A. Yu. Savin Global analysis in modern theory of differential equations May 20, 2020 16:00
20.	Topological invariants of symbol of elliptic boundary value problem. A. Yu. Savin Global analysis in modern theory of differential equations May 13, 2020 16:00
21.	Topological invariants of elliptic symbols. G-theory A. Yu. Savin Global analysis in modern theory of differential equations May 6, 2020 16:00
22.	Index problem for the metaplectic group. II. A. Yu. Savin Global analysis in modern theory of differential equations February 19, 2020 10:30
23.	Index problem for the metaplectic group. I. A. Yu. Savin Global analysis in modern theory of differential equations February 12, 2020 12:00
24.	Задача о гомотопической классификации эллиптических операторов A. Yu. Savin Global analysis in modern theory of differential equations May 22, 2018 17:15
25.	Эллиптические операторы, ассоциированные с группами квантованных канонических преобразований A. Yu. Savin April 5, 2018 18:30
26.	О топологической K-теории и её приложениях A. Yu. Savin Global analysis in modern theory of differential equations March 20, 2018 17:10
27.	Алгебраический подход в теории индекса эллиптических операторов A. Yu. Savin Global analysis in modern theory of differential equations June 8, 2017 15:30
28.	Об эллиптических комплексах A. Yu. Savin Global analysis in modern theory of differential equations April 27, 2017 15:30
29.	Фредгольмовость G-операторов. Методы теории С-алгебр A. Yu. Savin Global analysis in modern theory of differential equations* March 23, 2017 15:20
30.	О классификации операторов, отвечающих пересекающимся многообразиям A. Yu. Savin Global analysis in modern theory of differential equations March 16, 2017 15:20
31.	Дифференциальные уравнения на комплексных многообразиях B. Yu. Sternin, A. Yu. Savin Noncommutative geometry and topology February 19, 2015 16:45
32.	Differential equations on complex manifolds A. Yu. Savin, B. Yu. Sternin Differential geometry and applications October 14, 2013 16:45
33.	Проблема индекса для нелокальных эллиптических операторов и некоммутативная геометрия A. Yu. Savin Meetings of the Moscow Mathematical Society April 22, 2008

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