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Пре мія О свальда Ве блена з геоме трії англ Oswald Veblen Prize in Geometry наукова премія що присуджується Американськ

Премія Веблена з геометрії

Премія Веблена з геометрії

Пре́мія О́свальда Ве́блена з геоме́трії (англ. Oswald Veblen Prize in Geometry) — наукова премія, що присуджується Американським математичним товариством за дослідження в галузі геометрії або топології. Заснована у 1961 році на честь американського математика Освальда Веблена. Розмір премії становить 5000 доларів. Номінант повинен бути членом Американського математичного товариства або опублікувати свою працю в одному з провідних американських наукових журналів.

Премія Освальда Веблена з геометрії
англ. Oswald Veblen Prize in Geometry
Країна image США
Тип d
Вручає: Американське математичне товариство
На честь: Освальд Веблен
Нагородження
Засновано: 1961
Перше: 1964
Нагороджені:
 (13)
Черговість
image Премія Освальда Веблена з геометрії у Вікісховищі

Перші сім лауреатів отримали нагороди за роботи з топології. Джеймс Гарріс Саймонс і Вільям Терстон були першими, хто отримав премію за роботи з геометрії. Станом на 2022 рік було тридцять сім лауреатів премії.

Список лауреатів

Manifolds of negative curvature. Journal of Differential Geometry 13 (1978), no. 2, 223—230.
Almost flat manifolds. Journal of Differential Geometry 13 (1978), no. 2, 231—241.
Curvature, diameter and Betti numbers. Comment. Math. Helv. 56 (1981), no. 2, 179—195.
Groups of polynomial growth and expanding maps. Inst. Hautes Études Sci. Publ. Math. 53 (1981), 53–73.
Volume and bounded cohomology. Inst. Hautes Études Sci. Publ. Math. 56 (1982), 5–99
On the regularity of the solution of the n-dimensional Minkowski problem. Comm. Pure Appl. Math. 29 (1976), no. 5, 495—516. (разом з [en])
On the regularity of the Monge-Ampère equation det∂2u/∂xi∂xj = F(x, u). Comm. Pure Appl. Math. 30 (1977), no. 1, 41–68. (разом з [en])
Calabi's conjecture and some new results in algebraic geometry. Proc. Natl. Acad. Sci. U.S.A. 74 (1977), no. 5, 1798—1799.
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Comm. Pure Appl. Math. 31 (1978), no. 3, 339—411.
On the proof of the positive mass conjecture in general relativity. Comm. Math. Phys. 65 (1979), no. 1, 45–76. (разом з [en])
Topology of three-dimensional manifolds and the embedding problems in minimal surface theory. Ann. of Math. (2) 112 (1980), no. 3, 441—484. (разом з [en])
The topology of four-dimensional manifolds. Journal of Differential Geometry 17 (1982), no. 3, 357—453.
його роботу над топологією низьковимірних многовидів і, зокрема, за відкриття цілочисельного інваріанту гомології трьох сфер, редукція якого mod(2) є інваріантом Рохліна.
  • 1991: за публікації
Self-dual Yang-Mills connections on non-self-dual 4-manifolds. Journal of Differential Geometry 17 (1982), no. 1, 139—170.
Gauge theory on asymptotically periodic 4-manifolds. J. Differential Geom. 25 (1987), no. 3, 363—430.
Casson's invariant and gauge theory. J. Differential Geom. 31 (1990), no. 2, 547—599.
The formation of singularities in the Ricci flow. Surveys in differential geometry, Vol. II (Cambridge, MA, 1993), 7–136, Int. Press, Cambridge, MA, 1995.
Four-manifolds with positive isotropic curvature. Comm. Anal. Geom. 5 (1997), no. 1, 1–92.
On Calabi's conjecture for complex surfaces with positive first Chern class. Invent. Math. 101 (1990), no. 1, 101—172.
Compactness theorems for Kähler-Einstein manifolds of dimension 3 and up. J. Differential Geom. 35 (1992), no. 3, 535—558.
A mathematical theory of quantum cohomology. J. Differential Geom. 42 (1995), no. 2, 259—367. (разом з [en])
Kähler-Einstein metrics with positive scalar curvature. Invent. Math. 130 (1997), no. 1, 1–37.
Families index for manifolds with boundary, superconnections, and cones. I. Families of manifolds with boundary and Dirac operators. J. Funct. Anal. 89 (1990), no. 2, 313—363. (разом з Жаном-Мішелем Бісмутом)
Families index for manifolds with boundary, superconnections and cones. II. The Chern character. J. Funct. Anal. 90 (1990), no. 2, 306—354. (разом з Жаном-Мішелем Бісмутом)
Lower bounds on Ricci curvature and the almost rigidity of warped products. Ann. of Math. (2) 144 (1996), no. 1, 189—237. (разом з [en])
On the structure of spaces with Ricci curvature bounded below. I. J. Differential Geom. 46 (1997), no. 3, 406—480. (разом з [en])
Combinatorial methods in symplectic geometry. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 531—539, Amer. Math. Soc., Providence, RI, 1987.
Classification of overtwisted contact structures on 3-manifolds. Invent. Math. 98 (1989), no. 3, 623—637.
  • 2001: [en] за публікації:
Nilpotence and stable homotopy theory. I. Ann. of Math. (2) 128 (1988), no. 2, 207—241. (разом з [de] та [en])
The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 1, 76–86. (разом з [en])
Equivariant vector bundles on the Lubin-Tate moduli space. Topology and representation theory (Evanston, IL, 1992), 23–88, Contemp. Math., 158, Amer. Math. Soc., Providence, RI, 1994. (разом з [en])
Elliptic spectra, the Witten genus and the theorem of the cube. Invent. Math. 146 (2001), no. 3, 595—687. (разом з Меттью Андо, англ. Matthew Ando та [de])
Nilpotence and stable homotopy theory. II. Ann. of Math. (2) 148 (1998), no. 1, 1–49. (разом з [en])
The genus of embedded surfaces in the projective plane. Math. Res. Lett. 1 (1994), no. 6, 797—808.
Embedded surfaces and the structure of Donaldson's polynomial invariants. J. Differential Geom. 41 (1995), no. 3, 573—734.
Witten's conjecture and property P. Geom. Topol. 8 (2004), 295—310.
  • 2007: [en] та [en] за:
Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. (2) 159 (2004), no. 3, 1027—1158.
Holomorphic disks and three-manifold invariants: properties and applications. Ann. of Math. (2) 159 (2004), no. 3, 1159—1245.
Holomorphic disks and genus bounds. Geom. Topol. 8 (2004), 311—334.
  • 2010: [en] та [en] за серію публікацій:
The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks. Ann. of Math. (2) 160 (2004), no. 1, 27–68.
The space of embedded minimal surfaces of fixed genus in a 3-manifold. II. Multi-valued graphs in disks. Ann. of Math. (2) 160 (2004), no. 1, 69–92.
The space of embedded minimal surfaces of fixed genus in a 3-manifold. III. Planar domains. Ann. of Math. (2) 160 (2004), no. 2, 523—572.
The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV. Locally simply connected. Ann. of Math. (2) 160 (2004), no. 2, 573—615.
The Calabi-Yau conjectures for embedded surfaces. Ann. of Math. (2) 167 (2008), no. 1, 211—243.
A long exact sequence for symplectic Floer cohomology. Topology 42 (2003), no. 5, 1003—1063.
The symplectic topology of Ramanujam's surface. Comment. Math. Helv. 80 (2005), no. 4, 859—881. (разом з [en])
Fukaya categories and Picard-Lefschetz theory. Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2008. viii+326 pp.
Exact Lagrangian submanifolds in simply-connected cotangent bundles. Invent. Math. 172 (2008), no. 1, 1–27. (разом з [en] та [en])
Lower bounds on volumes of hyperbolic Haken 3-manifolds. With an appendix by Nathan Dunfield. J. Amer. Math. Soc. 20 (2007), no. 4, 1053—1077. (разом з англ. Daniel Storm та Вільмом Терстоном)
Criteria for virtual fibering. J. Topol. 1 (2008), no. 2, 269—284.
Residual finiteness, QCERF and fillings of hyperbolic groups. Geom. Topol. 13 (2009), no. 2, 1043—1073. (разом з англ. Daniel Groves та англ. Jason Fox Manning)
  • 2013: [en] за статті:
Subgroup separability of graphs of free groups with cyclic edge groups. Q. J. Math. 51 (2000), no. 1, 107—129.
The residual finiteness of negatively curved polygons of finite groups. Invent. Math. 149 (2002), no. 3, 579—617.
Special cube complexes. Geom. Funct. Anal. 17 (2008), no. 5, 1551—1620. (разом з англ. Frédéric Haglund)
A combination theorem for special cube complexes. Ann. of Math. (2) 176 (2012), no. 3, 1427—1482. (разом з англ. Frédéric Haglund)
  • 2016: [en] та [en] за:
Min-max theory and the Willmore conjecture. Ann. of Math. (2) 179 (2014), no. 2, 683—782.
Min-max theory and the energy of links. J. Amer. Math. Soc. 29 (2016), no. 2, 561—578. (разом з Яном Аголом)
Existence of infinitely many minimal hypersurfaces in positive Ricci curvature. Invent. Math. 209 (2017), no. 2, 577—616.
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. J. Amer. Math. Soc. 28 (2015), no. 1, 183—197.
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π. J. Amer. Math. Soc. 28 (2015), no. 1, 199—234.
Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof. J. Amer. Math. Soc. 28 (2015), no. 1, 235—278.
  • 2022: [en], [en], [en] за наукову працю:
On the nonexistence of elements of Kervaire invariant one. Annals of Mathematics SECOND SERIES, Vol. 184, No. 1 (July, 2016), pp. 1-262

Примітки

  1. Peter L. Duren; Richard Askey; Uta C. Merzbach, ред. (January 1989). A Century of Mathematics in America, Part II. American Mathematical Society. с. 521. ISBN .
  2. Veblen Prizes for 1981 (PDF), Notices of the AMS, 28 (2), February 1981: 160—164
  3. Michael H. Freedman Awarded 1986 Veblen Prize (PDF), Notices of the AMS, 33 (2), March 1986: 227—228
  4. 1991 Oswald Veblen Prize in Geometry (PDF), Notices of the AMS, 38 (3), March 1991: 181—183
  5. 1996 Oswald Veblen Prize (PDF), Notices of the AMS, 43 (3), March 1996: 325—327.
  6. 2001 Veblen Prize (PDF), Notices of the AMS, 48 (4), April 2001: 408—410.
  7. 2004 Veblen Prize (PDF), Notices of the AMS, 51 (4), April 2004: 426—427.
  8. 2007 Veblen Prize (PDF), Notices of the AMS, 54 (4), April 2007: 527—530.
  9. 2010 Veblen Prize (PDF), Notices of the AMS, 57 (4), April 2010: 521—523.
  10. 2013 Veblen Prize (PDF), Notices of the AMS, 60 (4), April 2013: 494—496.
  11. AMS News Releases, «Fernando Codá Marques and André Neves to Receive 2016 AMS Oswald Veblen Prize» (20/Nov/2015)
  12. Kehoe, Elaine (April 2016), 2016 Oswald Veblen Prize in Geometry (PDF), , 63 (4): 429—431, doi:10.1090/noti1358.
  13. «2019 Oswald Veblen Prize in Geometry»
  14. «2022 Oswald Veblen Prize in Geometry»

Джерела

  • Oswald Veblen Prize in Geometry Архівовано квітень 8, 2019 на сайті Wayback Machine., American Mathematical Society.

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Pre miya O svalda Ve blena z geome triyi angl Oswald Veblen Prize in Geometry naukova premiya sho prisudzhuyetsya Amerikanskim matematichnim tovaristvom za doslidzhennya v galuzi geometriyi abo topologiyi Zasnovana u 1961 roci na chest amerikanskogo matematika Osvalda Veblena Rozmir premiyi stanovit 5000 dolariv Nominant povinen buti chlenom Amerikanskogo matematichnogo tovaristva abo opublikuvati svoyu pracyu v odnomu z providnih amerikanskih naukovih zhurnaliv Premiya Osvalda Veblena z geometriyi angl Oswald Veblen Prize in GeometryKrayina SShATip dVruchaye Amerikanske matematichne tovaristvoNa chest Osvald VeblenNagorodzhennyaZasnovano 1961Pershe 1964Nagorodzheni Kategoriya Laureati premiyi Osvalda Veblena z geometriyi 13 Chergovist Premiya Osvalda Veblena z geometriyi u Vikishovishi Pershi sim laureativ otrimali nagorodi za roboti z topologiyi Dzhejms Garris Sajmons i Vilyam Terston buli pershimi hto otrimav premiyu za roboti z geometriyi Stanom na 2022 rik bulo tridcyat sim laureativ premiyi Spisok laureativ1964 en 1964 en 1966 Stiven Smejl 1966 en en 1971 en 1971 Dennis Sallivan 1976 Vilyam Terston 1976 Dzhejms Garris Sajmons 1981 Mihajlo Gromov za seriyu publikacij Manifolds of negative curvature Journal of Differential Geometry 13 1978 no 2 223 230 Almost flat manifolds Journal of Differential Geometry 13 1978 no 2 231 241 Curvature diameter and Betti numbers Comment Math Helv 56 1981 no 2 179 195 Groups of polynomial growth and expanding maps Inst Hautes Etudes Sci Publ Math 53 1981 53 73 Volume and bounded cohomology Inst Hautes Etudes Sci Publ Math 56 1982 5 99 dd 1981 Shintan Yau za publikaciyi On the regularity of the solution of the n dimensional Minkowski problem Comm Pure Appl Math 29 1976 no 5 495 516 razom z en On the regularity of the Monge Ampere equation det 2u xi xj F x u Comm Pure Appl Math 30 1977 no 1 41 68 razom z en Calabi s conjecture and some new results in algebraic geometry Proc Natl Acad Sci U S A 74 1977 no 5 1798 1799 On the Ricci curvature of a compact Kahler manifold and the complex Monge Ampere equation I Comm Pure Appl Math 31 1978 no 3 339 411 On the proof of the positive mass conjecture in general relativity Comm Math Phys 65 1979 no 1 45 76 razom z en Topology of three dimensional manifolds and the embedding problems in minimal surface theory Ann of Math 2 112 1980 no 3 441 484 razom z en dd 1986 Majkl Fridman za stattyu The topology of four dimensional manifolds Journal of Differential Geometry 17 1982 no 3 357 453 dd 1991 en za jogo robotu nad topologiyeyu nizkovimirnih mnogovidiv i zokrema za vidkrittya cilochiselnogo invariantu gomologiyi troh sfer redukciya yakogo mod 2 ye invariantom Rohlina dd 1991 za publikaciyiSelf dual Yang Mills connections on non self dual 4 manifolds Journal of Differential Geometry 17 1982 no 1 139 170 Gauge theory on asymptotically periodic 4 manifolds J Differential Geom 25 1987 no 3 363 430 Casson s invariant and gauge theory J Differential Geom 31 1990 no 2 547 599 dd 1996 Richard Gamilton za praci The formation of singularities in the Ricci flow Surveys in differential geometry Vol II Cambridge MA 1993 7 136 Int Press Cambridge MA 1995 Four manifolds with positive isotropic curvature Comm Anal Geom 5 1997 no 1 1 92 dd 1996 en za On Calabi s conjecture for complex surfaces with positive first Chern class Invent Math 101 1990 no 1 101 172 Compactness theorems for Kahler Einstein manifolds of dimension 3 and up J Differential Geom 35 1992 no 3 535 558 A mathematical theory of quantum cohomology J Differential Geom 42 1995 no 2 259 367 razom z en Kahler Einstein metrics with positive scalar curvature Invent Math 130 1997 no 1 1 37 dd 2001 Dzheff Chiger za praci Families index for manifolds with boundary superconnections and cones I Families of manifolds with boundary and Dirac operators J Funct Anal 89 1990 no 2 313 363 razom z Zhanom Mishelem Bismutom Families index for manifolds with boundary superconnections and cones II The Chern character J Funct Anal 90 1990 no 2 306 354 razom z Zhanom Mishelem Bismutom Lower bounds on Ricci curvature and the almost rigidity of warped products Ann of Math 2 144 1996 no 1 189 237 razom z en On the structure of spaces with Ricci curvature bounded below I J Differential Geom 46 1997 no 3 406 480 razom z en dd 2001 Yakiv Eliashberg za Combinatorial methods in symplectic geometry Proceedings of the International Congress of Mathematicians Vol 1 2 Berkeley Calif 1986 531 539 Amer Math Soc Providence RI 1987 Classification of overtwisted contact structures on 3 manifolds Invent Math 98 1989 no 3 623 637 dd 2001 en za publikaciyi Nilpotence and stable homotopy theory I Ann of Math 2 128 1988 no 2 207 241 razom z de ta en The rigid analytic period mapping Lubin Tate space and stable homotopy theory Bull Amer Math Soc N S 30 1994 no 1 76 86 razom z en Equivariant vector bundles on the Lubin Tate moduli space Topology and representation theory Evanston IL 1992 23 88 Contemp Math 158 Amer Math Soc Providence RI 1994 razom z en Elliptic spectra the Witten genus and the theorem of the cube Invent Math 146 2001 no 3 595 687 razom z Mettyu Ando angl Matthew Ando ta de Nilpotence and stable homotopy theory II Ann of Math 2 148 1998 no 1 1 49 razom z en dd 2004 en 2007 en i en za The genus of embedded surfaces in the projective plane Math Res Lett 1 1994 no 6 797 808 Embedded surfaces and the structure of Donaldson s polynomial invariants J Differential Geom 41 1995 no 3 573 734 Witten s conjecture and property P Geom Topol 8 2004 295 310 dd 2007 en ta en za Holomorphic disks and topological invariants for closed three manifolds Ann of Math 2 159 2004 no 3 1027 1158 Holomorphic disks and three manifold invariants properties and applications Ann of Math 2 159 2004 no 3 1159 1245 Holomorphic disks and genus bounds Geom Topol 8 2004 311 334 dd 2010 en ta en za seriyu publikacij The space of embedded minimal surfaces of fixed genus in a 3 manifold I Estimates off the axis for disks Ann of Math 2 160 2004 no 1 27 68 The space of embedded minimal surfaces of fixed genus in a 3 manifold II Multi valued graphs in disks Ann of Math 2 160 2004 no 1 69 92 The space of embedded minimal surfaces of fixed genus in a 3 manifold III Planar domains Ann of Math 2 160 2004 no 2 523 572 The space of embedded minimal surfaces of fixed genus in a 3 manifold IV Locally simply connected Ann of Math 2 160 2004 no 2 573 615 The Calabi Yau conjectures for embedded surfaces Ann of Math 2 167 2008 no 1 211 243 dd 2010 en za A long exact sequence for symplectic Floer cohomology Topology 42 2003 no 5 1003 1063 The symplectic topology of Ramanujam s surface Comment Math Helv 80 2005 no 4 859 881 razom z en Fukaya categories and Picard Lefschetz theory Zurich Lectures in Advanced Mathematics European Mathematical Society EMS Zurich 2008 viii 326 pp Exact Lagrangian submanifolds in simply connected cotangent bundles Invent Math 172 2008 no 1 1 27 razom z en ta en dd 2013 Yan Agol za statti Lower bounds on volumes of hyperbolic Haken 3 manifolds With an appendix by Nathan Dunfield J Amer Math Soc 20 2007 no 4 1053 1077 razom z angl Daniel Storm ta Vilmom Terstonom Criteria for virtual fibering J Topol 1 2008 no 2 269 284 Residual finiteness QCERF and fillings of hyperbolic groups Geom Topol 13 2009 no 2 1043 1073 razom z angl Daniel Groves ta angl Jason Fox Manning dd 2013 en za statti Subgroup separability of graphs of free groups with cyclic edge groups Q J Math 51 2000 no 1 107 129 The residual finiteness of negatively curved polygons of finite groups Invent Math 149 2002 no 3 579 617 Special cube complexes Geom Funct Anal 17 2008 no 5 1551 1620 razom z angl Frederic Haglund A combination theorem for special cube complexes Ann of Math 2 176 2012 no 3 1427 1482 razom z angl Frederic Haglund dd 2016 en ta en za Min max theory and the Willmore conjecture Ann of Math 2 179 2014 no 2 683 782 Min max theory and the energy of links J Amer Math Soc 29 2016 no 2 561 578 razom z Yanom Agolom Existence of infinitely many minimal hypersurfaces in positive Ricci curvature Invent Math 209 2017 no 2 577 616 dd 2019 en Sajmon Donaldson i Son Sun za naukovi statti Kahler Einstein metrics on Fano manifolds I Approximation of metrics with cone singularities J Amer Math Soc 28 2015 no 1 183 197 Kahler Einstein metrics on Fano manifolds II Limits with cone angle less than 2p J Amer Math Soc 28 2015 no 1 199 234 Kahler Einstein metrics on Fano manifolds III Limits as cone angle approaches 2p and completion of the main proof J Amer Math Soc 28 2015 no 1 235 278 dd 2022 en en en za naukovu pracyu On the nonexistence of elements of Kervaire invariant one Annals of Mathematics SECOND SERIES Vol 184 No 1 July 2016 pp 1 262 dd PrimitkiPeter L Duren Richard Askey Uta C Merzbach red January 1989 A Century of Mathematics in America Part II American Mathematical Society s 521 ISBN 978 0 8218 0130 7 Veblen Prizes for 1981 PDF Notices of the AMS 28 2 February 1981 160 164 Michael H Freedman Awarded 1986 Veblen Prize PDF Notices of the AMS 33 2 March 1986 227 228 1991 Oswald Veblen Prize in Geometry PDF Notices of the AMS 38 3 March 1991 181 183 1996 Oswald Veblen Prize PDF Notices of the AMS 43 3 March 1996 325 327 2001 Veblen Prize PDF Notices of the AMS 48 4 April 2001 408 410 2004 Veblen Prize PDF Notices of the AMS 51 4 April 2004 426 427 2007 Veblen Prize PDF Notices of the AMS 54 4 April 2007 527 530 2010 Veblen Prize PDF Notices of the AMS 57 4 April 2010 521 523 2013 Veblen Prize PDF Notices of the AMS 60 4 April 2013 494 496 AMS News Releases Fernando Coda Marques and Andre Neves to Receive 2016 AMS Oswald Veblen Prize 20 Nov 2015 Kehoe Elaine April 2016 2016 Oswald Veblen Prize in Geometry PDF 63 4 429 431 doi 10 1090 noti1358 2019 Oswald Veblen Prize in Geometry 2022 Oswald Veblen Prize in Geometry DzherelaOswald Veblen Prize in Geometry Arhivovano kviten 8 2019 na sajti Wayback Machine American Mathematical Society

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