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Found 71 Documents (Results 1–71)

Some aspects of rational points and rational curves. (English) Zbl 1533.11123

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2346-2368 (2023).
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Effective results in the three-dimensional minimal model program. (English) Zbl 07823064

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2324-2345 (2023).
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The double ramification cycle formula. (English) Zbl 07823063

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2312-2322 (2023).
MSC:  14N35 14H10 14C17
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Canonical Kähler metrics and stability of algebraic varieties. (English) Zbl 07823062

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2286-2310 (2023).
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Hodge theory, between algebraicity and transcendence. (English) Zbl 07823061

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2250-2284 (2023).
MSC:  14D07 14C30 32G20
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Enhanced mirror symmetry for Langlands dual Hitchin systems. (English) Zbl 07823060

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2228-2249 (2023).
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K-theory of large categories. (English) Zbl 07823059

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2212-2226 (2023).
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The unreasonable effectiveness of wall-crossing in algebraic geometry. (English) Zbl 1537.14026

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2172-2195 (2023).
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Vector bundles on algebraic varieties. (English) Zbl 07823056

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2146-2170 (2023).
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Homological knot invariants from mirror symmetry. (English) Zbl 1536.57015

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2108-2144 (2023).
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Motivic cohomology. (English) Zbl 07823054

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2048-2106 (2023).
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Arithmetic and geometric Langlands program. (English) Zbl 1533.11190

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2012-2045 (2023).
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Points on Shimura varieties modulo primes. (English) Zbl 1533.11118

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1966-1988 (2023).
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The number of rational points on a curve of genus at least two. (English) Zbl 1535.14060

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1838-1869 (2023).
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Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023).
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Finite approximations as a tool for studying triangulated categories. (English) Zbl 1536.18012

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1636-1658 (2023).
MSC:  18G80 14F08 55P42
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The formal model of semi-infinite flag manifolds. (English) Zbl 07823035

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1600-1622 (2023).
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The Zariski cancellation problem and related problems in affine algebraic geometry. (English) Zbl 07823034

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1578-1598 (2023).
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Tameness in geometry and arithmetic: beyond o-minimality. (English) Zbl 07823028

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1440-1461 (2023).
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Combinatorial geometry takes the lead. (English) Zbl 1535.05059

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 414-458 (2023).
MSC:  05B35 14T15 52C35
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Combinatorics and Hodge theory. (English) Zbl 1535.05058

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 212-239 (2023).
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The work of Barry Mazur. (English) Zbl 1536.01017

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 118-141 (2023).
MSC:  01A70 11-03 14-03
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The work of June Huh. (English) Zbl 1536.01025

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 50-65 (2023).
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Perfect bases in representation theory: three mountains and their springs. (English) Zbl 07822643

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2976-2996 (2023).
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PBW degenerations, quiver Grassmannians, and toric varieties. (English) Zbl 07822641

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2930-2946 (2023).
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Stable homotopy groups of spheres and motivic homotopy theory. (English) Zbl 1536.55017

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2768-2790 (2023).
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Floer cohomology, singularities, and birational geometry. (English) Zbl 07822627

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2616-2637 (2023).
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Gamma classes and quantum cohomology. (English) Zbl 07822624

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2552-2574 (2023).
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Real Gromov-Witten theory. (English) Zbl 07822623

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2530-2550 (2023).
MSC:  53D45 14N35
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Noncommutative crepant resolutions, an overview. (English) Zbl 1532.14014

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1354-1391 (2023).
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Semiorthogonal decompositions in families. (English) Zbl 07821736

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1154-1200 (2023).
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Abelian pole systems and Riemann-Schottky-type problems. (English) Zbl 1532.14059

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1122-1153 (2023).
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Homomorphic encryption: a mathematical survey. (English) Zbl 07821731

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 956-1006 (2023).
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Automorphic functions on moduli spaces of bundles on curves over local fields: a survey. (English) Zbl 1533.11103

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 796-824 (2023).
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Algebraic geometry in mixed characteristic. (English) Zbl 1532.14049

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 712-748 (2023).
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Beyond linear algebra. (English) Zbl 1532.14101

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4820-4840 (2023).
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The positive Grassmannian, the amplituhedron, and cluster algebras. (English) Zbl 07821709

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4710-4737 (2023).
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Schubert calculus and quiver varieties. (English) Zbl 1532.14085

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4582-4605 (2023).
MSC:  14M15 16T25 16G20
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The geometry of geometries: matroid theory, old and new. (English) Zbl 1535.05051

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4510-4541 (2023).
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Siu’s lemma: generalizations and applications. (English) Zbl 1528.32016

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 947-967 (2023).
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Global properties of some weight 3 variations of Hodge structure. (English) Zbl 1523.14016

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 553-568 (2023).
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Smooth compactifications in derived non-commutative geometry. (English) Zbl 1523.14034

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 535-551 (2023).
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HMS symmetries and hypergeometric systems. (English) Zbl 1523.14036

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 489-510 (2023).
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Finite groups of birational transformations. (English) Zbl 1523.14031

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 413-437 (2023).
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Lefschetz fibrations, open books, and symplectic fillings of contact 3-manifolds. (English) Zbl 1526.57015

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 395-412 (2023).
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Kähler-Einstein metrics and Archimedean zeta functions. (English) Zbl 1528.32037

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 199-251 (2023).
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Torsion in algebraic groups and problems which arise. (English) Zbl 07763389

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 161-180 (2023).
MSC:  11G10 14L15
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Minimal surfaces in Euclidean spaces by way of complex analysis. (English) Zbl 1531.53016

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 9-43 (2023).
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