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Ivan Panin (mathematician)

January 01, 1970

Ivan Aleksandrovich Panin (Иван Александрович Панин, born 2 July 1959 in Apatity, Russia) is a Russian mathematician, specializing in algebra, algebraic geometry, and algebraic K-theory.

Education and career edit

In 1973 he entered boarding school at D. K. Faddeev Academic Gymnasium and graduated there in 1976[1][2] There he graduated in 1981 from the Faculty of Mathematics and Mechanics of Saint Petersburg State University. At the St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences (abbreviated ПОМИ им. В. А. Стеклова РАН in Russian), he defended in 1984 his thesis for the degree of candidate of physical and mathematical sciences (Ph.D.) with supervisor Andrei Suslin[3] and then became employed there as a staff member. Panin received in 1996 the degree of Doctor nauk from the St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences. There in 1999 he became the head of the laboratory of algebra and number theory. In 2003 he was elected a corresponding member of the Russian Academy of Sciences in the Department of Mathematical Sciences.[4] In 2018 in Rio de Janeiro he was an invited speaker at the International Congress of Mathematicians.[5]

Research edit

The main directions of I. A. Panin's work are the theory of oriented cohomology on algebraic varieties, algebraic K-theory of homogeneous varieties, Gersten's conjecture, the Grothendieck-Serre conjecture on principal G-bundles, and purity in algebraic geometry.[4]

I. A. Panin proved (together with A. L. Smirnov) theorems of the Riemann-Roch type for oriented cohomology theories[6] and Riemann-Roch type theorems for the Adams operation. Panin found a proof of Gersten's conjecture in the case of equal characteristic and an affirmative solution (jointly with Manuel Ojanguren) of the "purity" problem for quadratic forms.[4]

Panin computed the algebraic K-groups of all twisted forms of flag varieties and all principal homogeneous spaces over the inner forms of semisimple algebraic groups. He, jointly with A. S. Merkurjev and A. R. Wadsworth, generalized, to arbitrary Borel varieties, results proved by David Tao[7] concerning index reduction formulas for the function fields of involution varieties.[8][4][9]

Selected publications edit

  • Panin I. A. (1994). "On the algebraic K-theory of twisted flag varieties". K-Theory. 8 (6): 541–585. doi:10.1007/BF00961020.
  • Merkurjev A. S., Panin I. A., Wadsworth A. R. (1996). "Index reduction formulas for twisted flag varieties". K-Theory. 10 (6): 517–596. doi:10.1007/BF00537543.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  • Панин И. А. (1998). "Принцип расщепления и K-теория односвязных полупростых алгебраических групп (The splitting principle and the K-theory of simply connected semisimple algebraic groups)" (PDF). Алгебра и анализ. 10 (1): 88–131.
  • Ojanguren M., Panin I. (1999). "A purity theorem for the Witt group" (PDF). Ann. Sci. École Norm. Sup. 32 (1): 71–86. doi:10.1016/s0012-9593(99)80009-3.
  • Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver (2009). "On Voevodsky's Algebraic K-Theory Spectrum". In Baas, N.; Friedlander, E.; Jahren, B.; Østvær, P. (eds.). Algebraic Topology. Abel Symposia, Vol. 4. Springer. pp. 279–330. doi:10.1007/978-3-642-01200-6_10. ISBN 978-3-642-01199-3. S2CID 15407424.

References edit

  1. ^ «… и жилось нам там распрекрасно». "... and our life was wonderful there." — quoted in: "Служенье муз не терпит суеты. Член-корреспондент РАН И. А. Панин о жизни в науке The ministry of the muses does not tolerate fuss. Corresponding Member of the Russian Academy of Sciences I. A. Panin on life in science" (26 (p. 3650)). Санкт-Петербургский университет )St. Petersburg University). 14 November 2003. {{cite journal}}: Cite journal requires |journal= (help)
  2. ^ "Выдающиеся выпускники (Outstanding graduates)". Академической гимназии (Academic Gymnasium, agym.spbu.ru).
  3. ^ Ivan A. Panin at the Mathematics Genealogy Project
  4. ^ a b c d I. A. Panin on mathnet.ru (English language version)
  5. ^ Panin, Ivan (2018). "On Grothendieck-Serre conjecture concerning principal bundles". In: Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures. pp. 201–221. doi:10.1142/9789813272880_0051. ISBN 978-981-327-287-3. S2CID 203101257.
  6. ^ Panin, Ivan; Smirnov, Alexander (2002). "Push-forwards in oriented cohomology theories of algebraic varieties".
  7. ^ Tao, D. (1994). "A Variety Associated to an Algebra with Involution". Journal of Algebra. 168 (2): 479–520. doi:10.1006/jabr.1994.1241. ISSN 0021-8693.
  8. ^ Knus, Max-Albert, ed. (30 June 1998). The Book of Involutions. American Mathematical Soc. p. 149. ISBN 978-0-8218-7321-2.
  9. ^ Иван Александрович Панин, Выдающиеся матмеховцы (Ivan Alexandrovich Panin, Outstanding mathematical mechanician)

External links edit

  • "Framed motives of algebraic varieties - Ivan Panin (talk on March 25, 2015)". YouTube. Institute for Advanced Study. July 27, 2016.

January 01, 1970
ivan, panin, mathematician, ivan, aleksandrovich, panin, Иван, Александрович, Панин, born, july, 1959, apatity, russia, russian, mathematician, specializing, algebra, algebraic, geometry, algebraic, theory, contents, education, career, research, selected, publ. Ivan Aleksandrovich Panin Ivan Aleksandrovich Panin born 2 July 1959 in Apatity Russia is a Russian mathematician specializing in algebra algebraic geometry and algebraic K theory Contents 1 Education and career 2 Research 3 Selected publications 4 References 5 External linksEducation and career editIn 1973 he entered boarding school at D K Faddeev Academic Gymnasium and graduated there in 1976 1 2 There he graduated in 1981 from the Faculty of Mathematics and Mechanics of Saint Petersburg State University At the St Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences abbreviated POMI im V A Steklova RAN in Russian he defended in 1984 his thesis for the degree of candidate of physical and mathematical sciences Ph D with supervisor Andrei Suslin 3 and then became employed there as a staff member Panin received in 1996 the degree of Doctor nauk from the St Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences There in 1999 he became the head of the laboratory of algebra and number theory In 2003 he was elected a corresponding member of the Russian Academy of Sciences in the Department of Mathematical Sciences 4 In 2018 in Rio de Janeiro he was an invited speaker at the International Congress of Mathematicians 5 Research editThe main directions of I A Panin s work are the theory of oriented cohomology on algebraic varieties algebraic K theory of homogeneous varieties Gersten s conjecture the Grothendieck Serre conjecture on principal G bundles and purity in algebraic geometry 4 I A Panin proved together with A L Smirnov theorems of the Riemann Roch type for oriented cohomology theories 6 and Riemann Roch type theorems for the Adams operation Panin found a proof of Gersten s conjecture in the case of equal characteristic and an affirmative solution jointly with Manuel Ojanguren of the purity problem for quadratic forms 4 Panin computed the algebraic K groups of all twisted forms of flag varieties and all principal homogeneous spaces over the inner forms of semisimple algebraic groups He jointly with A S Merkurjev and A R Wadsworth generalized to arbitrary Borel varieties results proved by David Tao 7 concerning index reduction formulas for the function fields of involution varieties 8 4 9 Selected publications editPanin I A 1994 On the algebraic K theory of twisted flag varieties K Theory 8 6 541 585 doi 10 1007 BF00961020 Merkurjev A S Panin I A Wadsworth A R 1996 Index reduction formulas for twisted flag varieties K Theory 10 6 517 596 doi 10 1007 BF00537543 a href Template Cite journal html title Template Cite journal cite journal a CS1 maint multiple names authors list link Panin I A 1998 Princip rasshepleniya i K teoriya odnosvyaznyh poluprostyh algebraicheskih grupp The splitting principle and the K theory of simply connected semisimple algebraic groups PDF Algebra i analiz 10 1 88 131 Ojanguren M Panin I 1999 A purity theorem for the Witt group PDF Ann Sci Ecole Norm Sup 32 1 71 86 doi 10 1016 s0012 9593 99 80009 3 Panin Ivan Pimenov Konstantin Rondigs Oliver 2009 On Voevodsky s Algebraic K Theory Spectrum In Baas N Friedlander E Jahren B Ostvaer P eds Algebraic Topology Abel Symposia Vol 4 Springer pp 279 330 doi 10 1007 978 3 642 01200 6 10 ISBN 978 3 642 01199 3 S2CID 15407424 References edit i zhilos nam tam rasprekrasno and our life was wonderful there quoted in Sluzhene muz ne terpit suety Chlen korrespondent RAN I A Panin o zhizni v nauke The ministry of the muses does not tolerate fuss Corresponding Member of the Russian Academy of Sciences I A Panin on life in science 26 p 3650 Sankt Peterburgskij universitet St Petersburg University 14 November 2003 a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help Vydayushiesya vypuskniki Outstanding graduates Akademicheskoj gimnazii Academic Gymnasium agym spbu ru Ivan A Panin at the Mathematics Genealogy Project a b c d I A Panin on mathnet ru English language version Panin Ivan 2018 On Grothendieck Serre conjecture concerning principal bundles In Proceedings of the International Congress of Mathematicians Rio de Janeiro 2018 Vol II Invited lectures pp 201 221 doi 10 1142 9789813272880 0051 ISBN 978 981 327 287 3 S2CID 203101257 Panin Ivan Smirnov Alexander 2002 Push forwards in oriented cohomology theories of algebraic varieties Tao D 1994 A Variety Associated to an Algebra with Involution Journal of Algebra 168 2 479 520 doi 10 1006 jabr 1994 1241 ISSN 0021 8693 Knus Max Albert ed 30 June 1998 The Book of Involutions American Mathematical Soc p 149 ISBN 978 0 8218 7321 2 Ivan Aleksandrovich Panin Vydayushiesya matmehovcy Ivan Alexandrovich Panin Outstanding mathematical mechanician External links edit Framed motives of algebraic varieties Ivan Panin talk on March 25 2015 YouTube Institute for Advanced Study July 27 2016 Retrieved from https en wikipedia org w index php title Ivan Panin mathematician amp oldid 1191579749, 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