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1. The Scuola Matematica Interuniversitaria (SMI)
The Scuola Matematica Interuniversitaria
(SMI) started its activities thirty years ago. The aim of the School is
to provide young researchers with a basic training in Mathematics and
its applications in various sectors, including Physics, Computer
Science, Economics and Finance, Engineering. In pursuit of this aim,
the School organises post-graduate courses addressed to young graduate
students, both from Italy and from abroad, and prepares them for
attendance to Ph.D. courses, Dottorati di ricerca in Italy,
post-graduate Schools and research activities in general.
Almost one hundred professors from
Italian and foreign universities, selected among those who have most
actively taken part in the School activities, are currently members of
SMI. The School activities are planned by the Board of Directors. At
present the Board of Directors is formed by the following elected
members: L. De Michele (University of Milano-Bicocca, Chief
Director), A. Figā
-Talamanca (University of Rome I), G. Gentili (University of Florence),
G. Monegato
(Polytechnic School of Turin), G. Ottaviani (University of Florence).
For thirty years SMI has yearly
organised basic, post-graduate Summer Courses in Mathematics at the
Department of Mathematics of the University of Perugia, and Advanced
Courses in Cortona, at the Palazzone of the Scuola Normale Superiore.
The Summer Courses in Perugia, addressed
to young graduate or senior students interested in research, are held
from the last week of July to the end of August, over a period of five
weeks. In Perugia, SMI yearly offers a choice of basic courses
consisting of twenty-five hours of lessons and fifteen hours
problem-solving sessions. Regular attendance to two of the courses is
compulsory; students are required to take part in the discussion of
problems and undertake written examinations. At the end of the courses
they are given a final evaluation.
The courses in Cortona are addressed to
students who have already been introduced to research. As a rule, every
summer SMI offers a choice of four courses, each of them lasts two
or three weeks and consists of two sessions of six hours of lessons per
week each, problem-solving sessions and seminars; classes in each of
the two sessions are held by two different lecturers.
Both in Perugia and in Cortona the
teaching staff is composed by internationally well-known experts; most
of them are foreign university professors, with whom the students often
establish lasting, deep and fruitful scientific relations.
Italian participants are chosen among
the best graduate students of Italian universities. A good number of
high-qualified foreign students is admitted to courses, both in Perugia
and in Cortona.
All the costs of the School activities,
including organisation and operating expenses, lecturers' remuneration,
costs of logistic, administrative expenses and so on are completely
covered by the School. In the last years, the annual cost of the
courses organised by SMI has amounted to about 300.000 euro; SMI's
Balance Sheet is published yearly in the Notiziario dell'Unione
Matematica Italiana.
All the activity of the Scuola
Matematica Interuniversitaria has been made possible up to now by the
financial support of the Italian Ministry of University and Research
(MUR), the Consiglio Nazionale
delle Ricerche (CNR), Istituto
Nazionale
di Alta Matematica (INdAM) and
the Consorzio per l'Alta Fomazione
Matematica (CIAFM), the
European Mathematical Society (EMS),
the
Fondazione della Cassa di risparmio delle Province Lombarde (CARIPLO).
1997
PERUGIA
(five weeks)
Algebra - L. Kovacs (Univ. of Canberra)
Complex Analysis - N. Kerzman
(Chapel Hill)
Functional
Analysis - C. Citrini
(Politecnico Milano)
Numerical
Analysis - J.-P. Berrut (Univ. of Fribourg)
Differential Equations in Mathematical
Physics - B. Kellogg (Univ. of Maryland)
Algebraic
Geometry - W. Barth (Univ. of Erlangen)
Differential
Geometry - G.
Thorbergsson (Univ. of Koeln)
Introduction
to Programming and Computer Science - A. Segre (Univ. of Iowa)
Probability
- P. Protter (Univ. of Purdue)
Games Theory
- S. Zamir (Univ. of Hebrew)
Algebraic
Topology - K. Gruenberg (Univ. of London)
CORTONA, I
term (two weeks)
Nonlinear
Analysis
A. Ambrosetti
- (Scuola Normale Superiore di Pisa)
I.Ekeland - (Univ. Paris IX-CEREMADE)
CORTONA ,
II term (three weeks)
Numerical
Analysis
D. Funaro- (Univ. of Modena)
P.J.Van der Houwen - (CWI Amsterdam)
CORTONA, III term (three weeks)
Algebraic
Geometry
A. Vistoli - (Univ. of Bologna)
C.H. Walter - (Univ. of Nice)
Number of participants:
Perugia : 99 Italian
students + 34 Foreign students = 133
Cortona : 56 Italian
students + 22 Foreign students = 78
Total: 211
PERUGIA
(five weeks)
Algebra - M.
Gutierrez (Univ. of Tufts)
Complex
Analysis - T. Gamelin (UCLA)
Functional
Analysis - L. De Michele (Univ. of Milano)
Numerical
Analysis - C. Lubich (Univ. of Tubingen)
Differential
Equations in Mathematical Physics - K. Oddson (U.C.Riverside)
Algebraic
Geometry - E. Arrondo (Univ. of Madrid)
Differential
Geometry - E. Musso (Univ. of L'Aquila)
Introduction
to Programming and Computer Science - J.R.Hindley (Univ. Wales,UK)
Probability -
H.Teicher (Rutgers Institut)
Mathematical
Statistics - E. Regazzini (Univ. of L.Bocconi)
Algebraic
Topology - K. Johnson (Univ. of Dalhouise)
CORTONA, I term (three weeks)
Combinatorial
Geometry
G.C.-Rota (MIT)
A.Beutelspacher - (Univ. of Giessen)
Differential
Geometry
S.Salamon - (Univ. of Oxford)
P.de Bartolomeis - (Univ. of Firenze)
CORTONA, II term (three weeks)
Algebra
L.Di Martino - (Univ. of Milano)
A.E.Zalesski - (Univ. of East Anglia)
Partial
Differential Equations
B.Kawohl - (Univ. of Koeln)
S. Salsa - (Politecnico Milano)
CORTONA, III term (two weeks)
Operations
Research
D. Bertsekas - (Univ. of Milano)
P. Hansen - (Univ. of Montreal)
Number of participants:
Perugia : 91 Italian
students + 30 Foreign students = 121
Cortona : 45 Italian
students + 16 Foreign students = 61
Total:
182
1999
PERUGIA :
(five weeks)
Algebra L.
Kovacs - (Australian Nat.
Univ.)
Complex
Analysis - E.L. Stout (Univ.
Washington)
Functional
Analysis - H. Bercovici
(Indiana Univ.)
Numerical
Analysis - I.G. Graham (Univ.
Bath)
Differential
Equations in Mathematical
Physics - B. Kellogg (Univ. Maryland)
Algebraic
Geometry F.-O.Schreyer
- (Univ. Bayreuth)
Differential
Geometry G. Thorbergsson
- (Univ. Koeln)
Introduction
to Programming Computer Science - A.M.
Segre (Univ.Iowa)
Probability
G. Letta - (Univ. Pisa)
Mathematical
Statistics D. Nel - (Clover
Co. South Africa)
CORTONA, I term (three
weeks)
Complex
Analysis
L.Lempert - (Univ. Purdue)
K.-T.Kim - (Univ. Postech Korea)
Numerical
Analysis
M. Arioli
- (Univ.Pavia )
E.Tyrtyshnikov - (Russian Ac. Sc.)
CORTONA,
II term (three
weeks)
Hyperbolic
Equations
C. Dafermos - Brown Univ.)
P. Marcati - (Univ. L’Aquila)
Probability
Y. Rinott - (Univ.
California)
P. Baldi - (Univ.Roma Tor Vergata)
Number of participants:
Perugia: 83 Italian
students + 30 Foreign students = 113
Cortona: 28 Italian
students + 15 Foreign students = 43
Total:
156
2000
PERUGIA
(five weeks)
Algebra - E.G.
Goodaire (St. John's,
Newfoundl., Canada)
Complex
Analysis - J. Verdera (Univ.
Autonoma de Madrid)
Functional
Analysis - M. Picardello
(Univ. di Roma, "Tor Vergata")
Numerical Analysis - C.
Lubich (Univ.
Tuebingen)
Differential
Equations in Math.
Physics - A. Elcrat (Wichita State University)
Algebraic
Geometry - W. Barth (Univ.
Erlangen)
Differential
Geometry - F. Mercuri
(Univ. Campinas, Brazil)
Introduction
to Programming and Computer Science - J.
Simon (Univ. of Chicago)
Probability
- R. Vitale (Univ. of
Connecticut)
Mathematical
Statistics - Y. Rinott
(Univ. of California)
Algebraic
Topology - G. Lupton
(Cleveland State University)
CORTONA, I term (three weeks)
Algebra
L. Kovacs - (Austr. Nat. Univ.)
C. Casolo - (Univ. di Firenze)
CORTONA,
II term
(three weeks)
Algebraic
Geometry
A. Corti - (D.P.M.M.S., Cambridge,
U.K.)
J. Wisniewski - (Warsaw Univ.)
CORTONA,
III term
(two weeks)
Operations
Research
R.K. Ahuja- (Univ. of Florida)
F. Facchinei - (Univ. di Roma, "La Sapienza")
Games
Theory
S. Zamir - (Crest, Paris)
J.Y. Jaffray - (Jussieu, Paris)
Number of participants:
Perugia: 58 Italian
students + 37 Foreign students = 95
Cortona: 62 Italian
students + 21 Foreign students = 83
Total:
178
2001
PERUGIA (five weeks)
Algebra
- W. Lawvere (Suny at
Buffalo)
Complex
Analysis - M. Peloso
(Politecnico di Torino)
Functional
Analysis - M.
Picardello (Univ. Roma, "Tor Vergata")
Numerical
Analysis - I. Graham
(Univ. of Bath)
Algebraic
Geometry - E. Arrondo
(Univ. Complutense, Madrid)
Differential
Geometry - E. Heintze
(Univ. Augsburg)
Principles
in Mathematics - F.
Gozzi (Univ. Roma, "La Sapienza"),
M. Castellani (Univ. de L’Aquila)
Probability
- D. Gilat (Univ. Tel
Aviv)
Operations
Research - R. Becker
(Univ. Cape Town, South Africa)
Mathematical
Statistics - L.
Goldstein (Univ. Southern California)
CORTONA:
CORTONA, I term
(three weeks)
Semigroups
of Operators
R. Nagel- (Univ. Tuebingen)
J. Goldstein -(Univ. Memphis)
CORTONA, II term
(two weeks)
Calculus of
Variations
G. Buttazzo - (Univ. Pisa)
B. Dacorogna - (EPFL, Lausanne)
CORTONA, III term
(two weeks)
Differential
Geometry
F. Podestā - (Univ. Firenze)
C. Lebrun- (SUNY at Stony Brook)
Number of participants:
Perugia: 71 Italian
students + 35 Foreign students = 106
Cortona: 40 Italian
students + 18 Foreign students = 58
Total:
164
2002 PERUGIA (five weeks)
Algebra -
L. Kovacs (Australian
National Univ.)
Complex
Analysis - R. Perez-Marco
(UCLA, Los Angeles),
A. Nicolau (Univ. Autonoma Barcellona)
Functional
Analysis - H. Bercovici
(Indiana Univ.)
Numerical
Analysis - L. Brugnano
(Univ. Firenze)
Differential
Equations in Mathematical
Physics - A. Elcrat (Wichita State Univ.)
Mathematical
Finance, U. Schmock
(ETH, Zurigo)
Algebraic
Geometry - M. Manetti
(Univ. Roma, La Sapienza)
Differental
Geometry - C. Olmos
(Univ. Cordoba, Argentina)
Probabilitā - L.
Goldstein (Univ. Southern California)
Mathematical
Statistics - Y. Rinott
(Hebrew Univ., Jerusalem)
CORTONA, I term
(two weeks)
Algebra
A. Lucchini - (Univ. Brescia)
R. Solomon - (Ohio State University)
CORTONA, II term
(three weeks)
Wavelets
G. Weiss - (Washington Univ., St. Louis)
A. Aldroubi - (Vanderbilt Univ., USA)
Probability
P. Baldi - (Univ. Roma, Tor Vergata)
P. Bremaud - (EPFL, Lausanne)
CORTONA: III term
(three weeks)
Non
Linear Hyperbolic Equations
V. Georgiev (Univ. Pisa)
P. D’ Ancona (Univ. Roma, La Sapienza)
(August 18-31) (2 weeks)
Operations
Research
M. Labbč - (Univ. de Bruxelles)
H. Wolkowicz - (Univ. Waterloo, Canada)
Number of participants:
Perugia: 70 Italian
students + 32 Foreign students = 102
Cortona: 69 Italian
students + 14 Foreign students = 83
Total: 185
2003
PERUGIA
Algebra,
L. Ribes (Univ. Carleton-Canada)
Analisi Complessa, G.
Tomassini (Scuola Normale Superiore-Pisa)
Analisi
Funzionale, W. Arendt (Univ. Ulm)
Analisi
Numerica, C. Lubich (Univ. Tuebingen)
Equazioni
differenziali della fisica matematica, G. Sweers
(Univ. Delft)
Geometria
Algebrica, L. Badescu (Univ. Genova)
Geometria
Differenziale, E. Heintze (Univ. Augsburg)
Informatica,
A. Panconesi (Univ. RM La Sapienza)
Probabilitā,
O. Kella (The Hebrew Univ.)
Statistica
Matematica, D. Gilat (Univ. Tel Aviv)
Topologia
Algebrica, F. Mercuri (Univ. Campinas)
CORTONA:
CORTONA I
term (2 weeks)
Geometria
Algebrica
J. Landsberg - (Georgia Inst.Tech.)
L. Manivel - (Univ. J. Fourier, Grenoble)
CORTONA
II term (3 weeks)
Holomorphic
Dynamics
T. Gamelin - (Univ. of California, Los Angeles)
S. Marmi - (Univ. Udine and Scuola Normale Superiore, Pisa)
CORTONA III term (3 weeks)
Algebra
Commutativa e non commutativa
R. Wiegand - (Univ. of Nebraska)
A. Facchini - (Univ. Padova e Centre de Recerca Matemātica,
Barcelona)
Analisi
Numerica
O. Widlund - (CIMS, NYU)
L. Pavarino - (Univ. Milano)
Number of participants:
Perugia: 72 Italian Students + 35
Foreign Students
Cortona: 35 Italian Students + 21
Foreign Students
Total: 163
2004
PERUGIA:
Algebra
G. Fernandez-Alcober -(Euskal Herriko Univ.)
Complex
Analysis
T. Suwa - (Hokkaido University)
Cryptography
L. Washington - (Univ. of Maryland)
Functional
Analysis
G. Beer -(California St. University- Los Angeles)
Numerical
Analysis
S. Sauter - (Univ. Zürich)
Differential
equations in Mathematical Phisics
B. Ruf - (Univ. degli Studi di Milano)
Algebraic
Geometry
C. Peterson - (Colorado St. University)
Differential
Geometry
P. Eberlein - (Univ. of North Carolina)
Probability
A. Gandolfi - (Univ. degli Studi di Firenze)
Mathematical
Statistics
P. Rigo - (Univ. di Pavia)
CORTONA:
CORTONA I:
July 4-24 (3 weeks)
Evolution
Equations and Applications
R. Nagel - (Mathematisches Institut, Tuebingen)
A. Lunardi - (Univ. degli Studi di Parma)
CORTONA II:
August 1 - August 14 (2 weeks)
Variational
Calculus
A. Cellina - (Univ. Bicocca of Milan)
G. Bouchitte' -(Univ. Toulon)
July 24-August
14 (3 weeks)
Statistics
J. A. Wellner - (Univ. of Washington)
E. Regazzini -(Univ. degli Studi di Pavia)
CORTONA III:
August 15-28 (2 weeks)
Differential
Geometry
K. Galicki - (Univ. of New Mexico)
D. Alekseevsky -(Univ. of Hull)
Number of participants:
Perugia: 74 Italian Students + 35
Foreign Students = 109
Cortona: 41 Italian Students + 36
Foreign Students = 77
Total: 186
2005
PERUGIA
(July 31 – September 3):
Algebra
J. Alev, (Univ. Reims)
Complex
Analysis
M. Kalka, (Tulane Univ. New Orleans)
Functional
Analysis
A Visintin, (Univ. Trento)
Numerical
Analysis
Frank Stenger, (Univ. Utah)
Differential
Equations in Mathematical Physics
M.Chipot, (Univ. Zürich)
Algebraic
Geometry
P. Ellia, (Univ. Ferrara)
Differential
Geometry
D. Alekseevsky, (Univ. Hull)
Probability
W.Woess, (Univ. Graz)
Mathematical
Statistics
R.P. Gupta, (Dalhousie Univ.)
Decision
Theory
J.Y.Jaffray,(Univ. Paris VI)
CORTONA:
July
3 – July 16, 2005
Pcp Theorem
Algorithms and Approximation Algorithms for Nphard Problems
Madhu Sudan - (MIT Cambridge)
A. Panconesi - (Univ. Roma La Sapienza)
July 17 – July
29, 2005
Pcp Thoerem
nad BPP: Ramdomisation and Polynomial-Time Computability
Madhu Sudan- (MIT Cambridge)
L. Trevisan - (Univ. California, Berkeley)
July 24 – August
13, 2005
Partial
Differential Equations
C. Gutierrez - (Temple Univ.)
M. Bardi - (Univ. Padova)
August 15-27, 2005
Algebraic
Geometry
A. Corti - (Univ. Cambridge)
C. Peterson - (Colorado State Univ.)
Number of participants:
Perugia : 79
Italian
Students + 31 Foreign Students = 110
Cortona : 33
Italian
Students + 12 Foreign Students = 45
Total : 155
2006
PERUGIA
(July 30 – September 2):
Algebra
A. Facchini, (Univ. Padova)
Complex
Analysis
E. L. Stout, (Univ. of Washington Seattle)
Functional
Analysis
E. Sawyer, (McMaster Univ. Hamilton)
Numerical
Analysis
C. Lubich, (Univ. Tuebingen)
Differential
Equations in Mathematical Physics
G. Sweers, (Univ. Koln and Delf Univ. of Technology)
Algebraic
Geometry
M. Andreatta, (Univ. Trento)
Differential
Geometry
G. Thorbergsson, (Univ. Koln)
Probability
G. Pistone, (Politecnico Torino)
Model
Theory
Z. Robinson, (East Caroline Univ.)
CORTONA:
July
2 – July 14, 2006
Syzygies,
Hilbert functions and generica initial ideals
A. Conca - (Universitā Genova)
J.C. Migliore - (Univ. Notre-Dame)
July 2 – July 23,
2006
A
Geometrical Approach to free Boundary Problems
L. Caffarelli - (Univ. Texas, Austin)
S. Salsa - (Politecnico Milano)
July 23 – August
12, 2006
Mathematical
Finance
W. Runggaldier - (Univ. Padova)
U. Schmock - (T.U. Wien)
July 30 - August
19, 2006
Morse
Theory and application to Differential Geometry
and to onedimensional variational Problems
F. Mercuri - (Univ. Campinas)
P. Piccioni - (Univ. of Sao Paulo)
Number of participants:
Perugia: 47
Italian Students + 33 Foreign Students = 80
Cortona : 44
Italian
Students + 38 Foreign Students = 82
Total : 162
2007
PERUGIA (July
30- August 31)
Algebra
N.
Vavilov, (Univ. St. Petersburg)
Complex Analysis
F. Berteloot, (Univ. Paul Sabatier Toulouse)
Functional Analysis
R.
S. Laugesen, (Univ. Illinois, Urbana)
Numerical Analysis
S. Serra Capizzano, (Univ. Insubria)
Differential equation in
mathematical physics
A. Visintin, (Univ. Trento)
Algebraic Geometry
E. Arrondo, (Univ. Complutense, Madrid)
Differential Geometry
W. Ziller, (University of Pennsylvania)
Operation Research
F. C.R. Spieksma, (Univ. Kathol. Leuven, Belgio)
Probability
A. Wakolbinger, (Goethe Univ. Frankfurt)
Statistics
M. Piccioni, (Univ. Roma "La Sapienza")
CORTONA:
July 16- July
28, 2007
Partial differential
equations
C. Da Fermos- (Brown Univ.)
P. D'Ancona- (Univ. Roma "La Sapienza")
July 16- August 3, 2007
Geometry and
Analysis of Manifolds with Reduced Holonomy
A. Kovalev- (Univ. of Cambridge)
S. Salamon- (Politecnico di Torino)
July
30- August 17, 2007
Probability
P. Baldi- (Univ. Roma "Tor Vergata")
P. Bremaud-(Ecole Normale Supérieure Paris- EPFL Lausanne)
August
13- August 31, 2007
Algebra
A. Lucchini- (Univ. Brescia)
A. Mann- (Hebrew Univ.)
Number of participants:
Perugia: 54
Italian Students + 29 Foreign Students = 83
Cortona : 49
Italian
Students + 18 Foreign Students = 67
Total : 150
2008
PERUGIA (July 28- August 28)
Algebra G. Navarro, (Univ. Valencia)
Functional Analysis J. McCarthy, (Washington Univ.)
Differential equation in
mathematical physics O. Kaviam, (Univ. Versailles - Saint Quentin)
Algebraic Geometry
P.Ionescu, (Univ. Bucarest)
Differential Geometry
F. Mercuri, (Univ. Campinas)
Probability
H. Sikič, (Univ. Zagreb)
CORTONA:
July 13- August 2, 2008
Discrete and continous dynamical systems
K. Engel - (Univ. L'Aquila) R. Nagel - (Univ. Tubingen)
August 18 - August 30, 2008
Mathematical and Numerical Models for the cardiovascular system
D. Chappelle - (INRIA, Roquencourt) P. Colli-Franzone - (Univ. Pavia) A. Quarteroni - (Politecnico of Milan and EPFL-Lausanne)
Number of participants:
Perugia: 47
Italian Students + 19 Foreign Students = 66
Cortona : 16
Italian
Students + 33 Foreign Students = 49
Total : 115
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