Luca Barbieri Viale

Luca Barbieri Viale
July 15, 2016
Personal Information
Born in Milan (Italy) on July 13, 1960
Studies and Degrees
1990 Ph.D. degree Dottore di Ricerca at the University of Milan & Genoa (advisor C. Pedrini)
1988-1989 Stage in Paris (Paris7) under the Ph.D. Program in order to attend courses by J.-P. Serre (at
Collège de France), A. Cartier (at École Polytecnique) and S. Lichtenbaum (III Cycle at Paris7)
1987-1990 Ph.D. Program at the University of Genoa attending courses by P. Francia on the minimal model
program
1986 Summer School “Algebraic Geometry” Scuola Normale Superiore (Cortona, Italy) attending courses by
A. Conte on birational geometry & by J. Murre on étale cohomology
1985-1987 Research Training at INdAM Istituto Nazionale di Alta Matematica “F. Severi” (Rome, Italy)
attending courses by C. De Concini on algebraic number theory
1985 Laurea degree in Mathematics (cum laude and publication of the final dissertation in categorical algebra)
at the University of Genoa on October 3rd , 1985 (supervisor M. Grandis)
Grants and Academic Positions
2008Position of Professore Ordinario (Full Professor) at the University of Milan from October 1,
2008 onwards
2004-2008 Position of Professore Ordinario (Full Professor) at the University of Padua from December 28,
2004 to September 30, 2008 (Padua, Italy)
1999-2004 Position of Professore Associato (Professor) at the University of Rome “La Sapienza” (Rome,
Italy)
1990-1998 Position of Ricercatore Universitario at the University of Genoa (Genoa, Italy)
1987-1990 Ph.D. Grant at the University of Milan & Genoa with a two-year stage in Paris (under a scholarship provided by Ministero dell’Università e della Ricerca)
1987 Grant INdAM Istituto Nazionale di Alta Matematica “F. Severi” (Rome, Italy)
1986 Grant INdAM Istituto Nazionale di Alta Matematica “F. Severi” (Rome, Italy)
Selected Visiting Institutions
IHÉS - Paris (France), 2016, 2015, 2012, 2007
Université de Paris 6-7, CNRS URA 212, Paris (France), several visits from 1989
School of Mathematics, TATA Institute of Fundamental Research di Bombay (India), 1990 and 1995, 1996,
1997, 1998, 2000
Mathematisch Institut der Rijksuniversiteit, Leiden (Holland), 1989 and 1992 & Lorentz Center 2004
Steklov - St. Petersburg (Russia), 2002
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IHP - Centre E. Borel - Université P. et M. Curie, Paris (France), 1999
ICTP - Abdus Salam International Centre - Trieste (Italy), 1997 and 2002
Departament d’Algebra i Geometria, Universitat de Barcelona, Barcelona (Spain), 1996
Mathematics Department, Rutgers University, New Brunswick USA, 1991
Matematisk Institut, Aarhus (Denmark), 1986
Selected Plenary Lectures at International Conferences
T-Motives
Conference “Topos à l’IHES” at IHES, Paris, Le Bois-Marie, France, November 23 – 27, 2015
Nori motives and the motivic topos
Conference “K-theory, Cyclic Homology and Motives” a conference in celebration of Charles A. Weibel’s 65th
year. Rutgers University in New Jersey USA, August 19 – 22, 2015
The motivic topos
Conference “Around forms, cycles and motives” on the occasion of Albrecht Pfister’s 80th birthday, Mainz,
Germany, 2014
Points, cycles and classes
Conference “Ideas of point. An elusive concept in mathematics and physics trhoughout history.” SISSA Workshop, Trieste, Italy 2013.
Sharp cohomology
Current Geometry (the International Conference on problems and trends of contemporary geometry) Palazzo
Serra di Cassano, Naples, 2005
Motivic Albanese
EAGER Conference “Algebraic Cycles and Motives” on the occasion of the 75th birthday of J.P. Murre, Lorentz
Center, Leiden, Holland, 2004
1-Motives versus mixed motives
ICTP School & Conference “Algebraic K-Theory and its Applications”, Trieste, Italy, 2002
Motives of singular varieties
Conference “K-Theory and Linear Algebraic Groups”, Mercator Univeristy of Duisburg, Germany, 2001
Balanced varieties
ICTP Symposium “Algebraic K-Theory and Applications”, Trieste, Italy, 1997
Albanese and Picard mixed motives
1997 AMS Summer Research Conference “Algebraic K-Theory”, University of Washington, Seattle, USA,
1997
Bloch’s conjecture revisited
Conference “Hodge Theory and Fundamental Groups”, AMS Summer Research Institute on Algebraic Geometry, Santa Cruz, California USA, 1995
Algebraic cycles and birational invariants
Conference “Algebraic cycles”, Mathematical Science Research Institute, Berkeley, California USA, 1992
(Complex Algebraic Geometry Year 1992/93)
On the Néron-Severi group and negative K-theory
Colloque International de K-theorie, Strasbourg, France, 1992
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An invariance theorem for motivic cohomology sheaves
NATO Advanced Study Institute, Algebraic K-theory and Algebraic Topology, Lake Louise, Alberta, Canada,
1991
Master/PhD Students and Thesis Titles
U TSAV C HOUDHURY
July 8th 2008 Master ALGANT-University of Padua: Homotopy theory of schemes & A1 -fundamental
groups
W ILLIAM G IULIANO
April 12th 2016 Master University of Milan: Cartier operators & Hodge decomposition
S OMAYEH H ABIBI
September 26th 2008 Master ALGANT-University of Bordeaux: Hilbert & Quot Schemes and PhD
University of Milan (2012) XXIV Ciclo On the motive of a bundle
S HANE K ELLY
July 17th 2008 Master ALGANT-University of Padua: Fourier-Mukai transforms in algebraic
geometry
C ARLO M AZZA
April 8th 1998 Master University of Genoa: Algebraic cycles and the Chow group
N ICOLA M AZZARI
PhD University of Milan (2009) XXI Ciclo Formal Hodge Structures
A LESSANDRO M ONTRESOR
July 21th 2014 Master University of Milan: Galois theory of Grothendieck
G IANLUCA P ONZONI
December 14th 2009 Master University of Milan: Grothendieck duality via Brown representability
C AROLINA R IVERA
PhD ALGANT-University of Milan & Bordeaux XXIX Ciclo
A LBERTO V EZZANI
July 22th 2010 Master University of Milan: On the geometry over the field with one element
and PhD (Coadvisor: J. Ayoub) University of Milan & Zürich (2014) XXVI Ciclo A motivic version of
the theorem of Fontaine and Wintenberger
PAOLO Z AMPOLINI
March 22th 2007 Master ALGANT-University of Padua: Algebraic geometric codes on curves
& surfaces
H EER Z HAO
PhD University of Padua (2011) (INdAM grant) XXIII Ciclo 1-motives with torsion and their
l-adic realisations
Various
Rector’s Delegate for the Internationalization of Academic Courses, University of Milan (2013-14)
Director of the Doctoral School in Mathematics, University of Milan (2010-13)
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Faculty’s Delegate, Erasmus Mundus, Faculty of Science, University of Milan (2010-13)
Coordinator of ALGANT Consortium, University of Milan (2010-onwards)
Member of the panels of the Committee for the selection of research projects (CPA, Padua University, 2005)
Member of the panels of the Committee for the recruitment of professors & researchers (COPDO, “La Sapienza”
Rome University, 2001-03)
Member of European Research Networks “Arithmetic Algebraic Geometry” and “Algebraic K-theory, Linear
Algebraic Groups & Related Structures”
Member of the Organization/Scientific Committee of International Conferences & Schools
- Conference “Séminaire Grothendieck” (IHÉS, Paris, France) 2016 (Milano, Italy) 2015
- Summer School “Monodromy” (Dobbiaco, Italy) 2014
- Summer School “Cohomology theories: a road map” (Brixen, Italy) 2011
- Mini-Workshop “1-Motives” (jointly with H. Esnault, Essen & D. Harari, Paris Sud) (Oberwolfach, Germany)
2010
- Conference “Hodge Theory” Island of San Servolo (Venice, Italy) 2006
- Summer School & Workshop “Motives, K-theory and Arithmetical Geometry” Sestri Levante (Genoa, Italy)
2004
Papers with linked titles collected by categories
Research Monographs
On the derived category of 1-motives
Astérisque N. 381 Société Mathématique de France (Paris) (2016) xi + p. 254
(jointly with B. K AHN)
Albanese and Picard 1-motives
Mémoires de la Société Mathématique de France (Paris) N. 87 (2001) vi + p. 104
(jointly with V. S RINIVAS)
On Journals
On the Deligne-Beilinson cohomology sheaves
Annals of K-Theory Vol. 1, Issue 1 (2016) 3-17
Nori 1-motives
Mathematische Annalen, (Springer-Verlag, Heidelberg) Vol. 361, Issue 1-2 (2015) 367-402
(jointly with J. AYOUB)
Sharp De Rham realization
Advances in Mathematics (Elsevier) Vol. 222, Issue 4, (2009) 1308-1338
(jointly with A. B ERTAPELLE)
1-motivic sheaves and the Albanese functor
Journal of Pure and Applied Algebra (Elsevier) Vol. 213, No. 5 (2009) 809-839
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(jointly with J. AYOUB)
The Néron-Severi group of a proper seminormal complex variety
Mathematische Zeitschrift (Springer-Verlag) Vol. 261, N. 2 (2009) 261-276
(jointly with A. ROSENSCHON & V. S RINIVAS)
A note on relative duality for Voevodsky motives
Tohoku Mathematical Journal Vol. 60, No. 3 (2008) 349-356
(jointly with B. K AHN)
Formal Hodge theory
Mathematical Research Letters, (International Press) Vol. 14 Issue 3 (2007) 385-394
A pamphlet on motivic cohomology
Milan Journal of Mathematics, (Birkhauser Verlag, Basel/Switzerland) Vol. 73 (2005) 53-73
Crystalline realizations of 1-motives
Mathematische Annalen, (Springer-Verlag, Heidelberg) Vol. 331, N. 1, (2005) 111-172
(jointly with F. A NDREATTA)
Deligne’s conjecture on 1-motives
Annals of Mathematics (Princeton, USA) Vol. 158, N. 2, (2003) 593-633
(jointly with A. ROSENSCHON & M. S AITO)
Albanese and Picard 1-motives
Comptes rendus de l’Académie des Sciences Paris, t. 326, Série I (1998) 1397-1401
(jointly with V. S RINIVAS)
H-cohomologies versus algebraic cycles
Mathematische Nachrichten 184 (1997) 5-57
Roitman’s theorem for singular complex projective surfaces
Duke Mathematical Journal Vol. 84, N. 1 (1996) 155-190
(jointly with C. P EDRINI & C. W EIBEL)
A reformulation of Bloch’s conjecture
Comptes rendus de l’Académie des Sciences Paris, t. 321 Série I (1995) 211-214
(jointly with V. S RINIVAS)
The Néron-Severi group and the mixed Hodge structure on H 2
J. reine angew. Math. (Crelles Journal) 450 (1994) 37-42
(jointly with V. S RINIVAS)
On the Néron-Severi group of a singular variety
J. reine angew. Math. (Crelles Journal) N. 435 (1993) 65-82
(jointly with V. S RINIVAS)
Des invariants birationnels associés aux théories cohomologiques
Comptes rendus de l’Académie des Sciences Paris, t. 315 Série I (1992) 1259-1262
Zero-cycles on singular varieties:
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torsion and Bloch’s formula
Journal of Pure and Applied Algebra 78 (1992) 1-13
K-coomologia e cicli algebrici locali
Comptes rendus de l’Académie des Sciences Paris, t. 311, Série I (1990) 223-228
Lattice theoretic aspects of doctrines and hyperdoctrines
Rendiconti dell’ Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica, 104 (1986),
Vol.X, fasc. 8, 93-102
On Proceedings
On the theory of 1-motives
in Algebraic Cycles and Motives ed. J. Nagel & C. Peters (Proceedings of the workshop on the occasion
of the 75th birthday of J.P. Murre - 2004, Lorentz Center, Leiden) London Mathematical Society Lecture
Note Series, Vol. 343, Cambridge University Press, London, 2007, p. 55-101
On algebraic 1-motives related to Hodge cycles
in Algebraic Geometry. A volume in memory of Paolo Francia ed. M. Beltrametti, F. Catanese, C. Ciliberto, A. Lanteri & C. Pedrini W. de Gruyter Berlin, New York, 2002, p. 26-60
Balanced varieties
in Algebraic K-theory and its Applications ed. H. Bass, A.O. Kuku & C. Pedrini (Symposium “Algebraic
K-Theory and its Applications” ICTP, Trieste, 1997) World Scientific, Singapore, 1999, p. 298-312
Cicli di codimensione 2 su varietà unirazionali complesse
in K-Theory (Strasbourg, 1992) ed. C. Kassel, J.-J. Loday & N. Schappacher (Colloque de K-Théorie,
Strasbourg, 1992) Astérisque Vol. 226 Société Mathématique de France, 1994, p. 13-41
Cohomology theories and algebraic cycles on singular varieties in Algebraic
K-Theory, Commutative Algebra and Algebraic Geometry ed. R. K. Dennis, C. Pedrini & M. R. Stein
(Santa Margherita, 1989) American Mathematical Society, Contemporary Mathematics Vol. 126 (1992),
p. 197-217
Other Books & Papers
Il potere dell’innocenza
in Matematica Ribelle. Le due vite di Alexander Grothendieck ed. Corriere della Sera (2014) p. 49-62
(jointly with C. BARTOCCI)
Che cos’è un numero? Una introduzione all’algebra
Raffaello Cortina Editore (2013) p. 208
Alexander Grothendieck: enthusiasm and creativity
in Mathematical lives. Protagonists of the Twentieth Century From Hilbert to Wiles. ed. C. Bartocci, R.
Betti, A. Guerraggio & R. Lucchetti (Translation of Vite Matematiche Springer, 2007) Springer, Berlin,
2011 p. 171-180
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Ph.D. Thesis
Teorie coomologiche e cicli algebrici sulle varietà singolari
Pubblicazioni Dipartimento di Matematica dell’Università di Genova N. 162 (1991) p. 148
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