CIMPA REPORT
CIMAT-CIMPA-School on Vector Bundles
CIMAT, Guanajuato, Mexico
27th November-7 December2006
I-. Scientific Report
School program and other activities
The School program consisted of six courses of five hours, one of three hours, four
hours talks and 17 half-hour talks spread over eight full days and two half days. A list of
speakers and talk titles is attached as part of this report. There were 70 participants
coming from Mexico Argentina, Brazil, Chile, Venezuela, Uruguay, Spain, Portugal,
England, France, Germany, Italy, Romania, Korea, Japan, India and USA. They ranged
in age from graduate students and postdocs to emeritus professors. The program
permitted all participants to attend all the talks.
Each course started with classical material and took the audience to the frontier of the
subject. The half-hour talks were given by young participants, presented their
developments in areas related to the topic of the School i.e. vector bundles.
In addition to the formal courses, a panel discussion was organized to discuss the main
subjects of the courses. The panel consisted of Peter Newstead, V. Balaji, and S.
Ramanan with D. Avritzer as the moderator.
Social activities included a Welcome Reception on the Monday evening, a trip to San
Miguel on Saturday, a “Callejoneada” on Friday evening and a School Banquet on
Thursday evening. All the participants ate lunch together every day at CIMAT. These
activities provided ample opportunity for interaction among participants.
The host institution for the School provided an excellent environment. CIMAT’s
extensive experience in organizing schools and conferences ensured that all required
infrastructure, including accommodation, was in place.
School Impact
The value and impact of any School always has an intangible aspect which comes from
the interactions between the participants and the lectures. Meetings such as the one
being reported provide an opportunity for like-minded researchers from all over the
world to come together and to benefit from each other’s expertise.
Although much communication now takes place through email, face-to-face discussions
remain invaluable for resolving problems and stimulating new research. Our School was
organized in such way that it provided students and young researchers from different
parts of the world the opportunity to learn through lectures by leading experts, to
discuss their work with these experts, and to meet and exchange ideas with each other.
The contacts made at this event will be highly beneficial to the career development of
the participants, in particular for those from Latin America. We expect that the network
created will be strengthened by participation by the young participants in future
meetings such as the VBAC meetings in Europe.
Evidence of the positive impact of the school can be found in unsolicited comments
from participants (in email messages to the organizers). These included:
• …thank you again for everything: it was much more than the usual
• … I have no words sufficient to thank all of you - and perhaps more
importantly congratulate you on the success of this unforgettable, impressive
event.
Especially we had the following email from a student:
Hola profesora Leticia,
me da mucho gusto poder escribirle nuevamente, en esta ocasión para agradecerle el
haber podido participar en el evento de VB, la verdad le comento fue una experiencia
muy grata y aprendí mucho. Como usted sabe, este tipo de temas y áreas no tienen
mucho desarrollo en el CINVESTAV, así que uno no puede perder la oportunidad de
asistir a eventos tan buenos como los que hay en CIMAT o en el IMATE Morelia, por
mencionar los lugares en los que tengo la noción de que se hace mas trabajo
relacionado con Geometría Algebraica.
Me llevo muchas cosas de Guanajuato en esta ocasión, me despido agradeciendo
nuevamente que me haya otorgado la oportunidad de asistir.
Atentamente:
Cristhian Garay L.
We point to the following two concrete ways in which the School will have an impact:
School Website:
CIMAT set up and maintains an attractive website for the School.
[ http://www.cimat.mx/Eventos/c_vectorbundles// ]. Information available from the
website includes
• School program, with titles and abstracts of all talks
• Lecture Notes
• List of school participants, with contact information for each one.
Peterfest Volume:
The organizers plan to co-edit a special volume. It will be in honor of Peter Newstead.
The volume will consist of three parts:
• Lecture Notes from the courses taught at the School.
• Survey articles
• Research articles
The contributions for the survey and research articles will be from the lecturers given in
the Conference “Moduli Spaces and Vector Bundles” in honor of Professor P.E.
Newstead in occasion of his 65th birthday held in CIMAT, that follows the School. All
the articles will be refereed. The editor-in-chief will be Leticia Brambila-Paz. The
editors are currently negotiating a publishing contract with Cambridge University Press.
COURSES
•
•
•
•
•
•
•
Peter Newstead (University of Liverpool, England) Geometric Invariant
Theory.
S. Ramanan ( Chennai Mathematics Institute, India) Vector Bundles on
algebraic curves
V. Balaji ( Chennai Mathematics Institute, India) Principal Bundles.
X. Gomez-Mont ( CIMAT, Mexico) Deformation Theory and Stalks.
I. Grzegorczyk ( University of Channel Islands, USA) Brill-Noether Theory
O. Garcia-Prada ( CSIC, Spain) Representations of surface groups and Higgs
bundles
Ugo Bruzzo( SISSA, Italy)/D. Hernandez-Ruiperez(Universidad de
Salamanca, Spain) Fourier-Mukai and Nahm transform.
(In October M. Lehn cancel his visit and the Scientific Committee decide that instead of
a substitute course give that space for the young participants to present their work.
In the last moment N. Nitsure was unable to come but he sends the notes of his course
and X. Gomez-Mont from CIMAT gave the course based in his notes. M. Reid was
visiting CIMAT at the time of the School and he offer to give two lectures on orbifold
to the students.)
Speakers and Titles
•
Walter Ferrer Santos, Centro de Matematica. Facultad de Ciencias
Universidad de la
Republica. Uruguay
Title: A generallization of Cayley's Omega Process (Joint work with A.
Rittatore)
• Alvaro Rittatore, Centro de Matematica, Facultad de Ciencias, Uruguay
Title: Affine algebraic monoids
• Mauricio Angel Angel, Universidad Central de Venezuela, Venezuela
Title:: The (M,N)-Maurer-Cartan equation
• Victor Gonzales Aguilera, Universidad Federico Santa María, Valparaíso,
Chile
Title:: On the singula locus of A_5
• Dan Avritzer, Universidade Federal de Minas Gerais, Brazil
Title:: Moduli space of quadratic line complexes
• Flaviana Ribeiro, Universidade Federal de Minas Gerais- Brazil
Title:: Maximal subsheaves of a stable sheaf of depth 1 on curves with ordinary
double points.
• Juliana Coehlo Chavez, Universidad Federal de Rio, Brazil
Title:: Abel maps for reducible curves
• Almar Kaid, University of Sheffield , UK
Title:: Syzygy Bundles on P^2 and the Weak Lefschetz Property.
• Ana Cristina Malheiro Casimiro, Universidade Nova de Lisboa, Portugal
Title:: Sato Grassmannian Stability
• Mihaela Iftime, MCPHS, USA
Title:: Natural Bundles and the Hole Argument
• Aaron Gerding, University of Massachusetts, Amherst, US
Title:: Semi-stable Higgs Bundles and Constant Mean Curvature Surfaces
• Sukmoon Huh, University of Michigan, Ann Arbor, USA
Title:: Moduli spaces of stable sheaves over a plane and an embedded curve
• Morgan Sherman, California State University, Channel Islands, USA
Title:: The Infinitely Near Borel-fixed Points on the Hilbert Scheme
• Abel Castorena, Instituto de Matemáticas, Morelia, Mexico
Title : "Divisorial components of the Petri locus for pencils"
A joint work with Montserrat Teixidor i Bigas.
• Claudia Reynoso, Facultad de Matematicas , Guanajuato, Mexico
Title: Fibrations on Rational Surfaces with at least 6 singular fibers
Join work with A. G. Zamora and A. Castorena.
• Israel Moreno, Instituto de Matemáticas UNAM, México
Title: On the normal bundle of a subvariety of fixed points.
• Rafael Heraclio Villarreal Rdguez, CINVESTAV-IPN, Mexico,
Title: Toric ideals of oriented
• Mustapha Lahyane, CIMAT, Mexico,
Title:: On the finite generation of the monoid of effective classes
on rational surfaces
II-. FINANCIAL REPORT
Funds obtained from different sources
•
CIMAT ……………………………………………. $100,000.00 MEX
•
CIMPA………………………………………………...$7,000.00 euros
•
CONCYTEG………………………………………….$52,500.00 MEX
•
CONACYT……………………………………………$6,000.00 MEX
•
ICTP…………………………………………………..$2,000.00 euros
•
SMM…………………………………………………. $8,000 MEX
•
UNAM……………………………………………….. $36,680.00 MEX
•
Registration ………………….……………………… $12,000.00MEX
TOTAL………………………………………………………..$24,404.72 euros
EXPENDITURE OF FUNDS
Travel Expenses……………………………………………… $6,690.48
Accommodation………………………………………………. $2,000.00
Meals…………………………………………………………. $14,809.92
Local Expenses (posters, notebooks, etc)…………………….. $ 904.32
TOTAL………………………………………………………..$24,404.72 euros
The support was used as follows:
•
ICTP (International Center of Theoretical Physics): Cover travel expenses of two
students from Brazil and living expenses of 2 participants from Latino America.
•
CONACYT (Consejo Nacional de Ciencia y Tecnología): Cover living expenses
of S. Ramanan and V. Balaji.
•
CIMPA (Centre International de Mathématiques Pures et Apliques): Cover travel and
living expenses of two students from Argentina, one from Venezuela, and one
from Brazil.
•
CONCYTEG (Consejo Nacional de Ciencia y Tecnología de Guanajuato): Cover
travel expenses of Ugo Bruzzo from Mexico City to Guanajuato and meals of
participants.
•
CIMAT (Centro de Investigación en Matemáticas A.C.): Cover accommodation
of the participants and meals of participants.
•
SMM (Sociedad Matemática Mexicana): Registration and meals of four Mexican
students.
•
UNAM (Universidad Nacional Autónoma de México): Cover living expenses of
participants and part of the material provided to the participants.
•
Registration: cover part of the coffee breaks and social events.
(The support from CIMAT, CONCYTEG, CONACYT, ICTP, SMM and UNAM was
also for the Conference “Moduli Spaces and Vector Bundles” that follows the School.
Here we only consider the corresponding part for the School.)
List of participants
NOMBRE
Aaron Gerding
Abel Castorena
Almar Kaid
Alvaro Rittatore
INSTITUCIÓN
University of Massachusets, USA
IMATE MORELIA (UNAM), Mexico
University of Sheffield, UK
Centro de Matemática, Facultad de Ciencias,
Uruguay
America Flores
California State University Channel Islands, USA
Ana Cristina Malheiro Casimiro
Facultad de de Ciências e Tecnologia Universidad
E-MAIL
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
de Nova de Lisboa, Portugal
Andrés Lara Maldonado
Universidad de Guanajuato, Mexico
Angela Ortega
Anita Rojas
Instituto de Fisica y Matematicas, UMSNH, Mexico
Facultad de Ciencias, Universidad de Chile, Chile
Arijit Dey
Institute of Mathematical Sciences, India
Carlos Pompeyo
CIMAT, Mexico
Carlos Segovia González
CINVESTAV (Departamento de Matemáticacas),
César Adrián Lozano Huerta
Mexico
CINVESTAV, IPN, Mexico
Cristhian Emmanuel Garay López
CINVESTAV, IPN, Mexico
[email protected]
Dan Avritzer
Universidade Federal de Minas Gerais - Brazil
[email protected]
Daniel Brice
Daniel Hernández Serrano
California State University Channel Islands, USA
Universidad de Salamanca, España
Dario Sánchez Gómez
Universidad de Salamanca, España
Estanislao Benito Hersovich
Ramoneda
Universidad de Buenos Aires, Argentina
[email protected]
[email protected]
[email protected]
[email protected]
Federico Nicolás Martinez
Universidad de Buenos Aires, Argentina
Universidade Federal de Minas Gerais – Brazil
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
Jesse Elliott
California State University Channel Islands, USA
[email protected]
[email protected]
[email protected]
[email protected]
<[email protected]>
[email protected]
[email protected]
Jorge Olivares
CIMAT, Mexico
[email protected]
Jinhyung To
University of Illinois at Urbana-Champaign (USA)
[email protected]
Joana Darc Antonia Santos da
Cruz
Universidad Federal de Rio, Brazil
[email protected]
Juan Francisco Leyva Bonilla
Universidad de Guanajuato, Mexico
Juliana Coelho Chaves
IMPA, Brazil
Kristen Nicole Calvin
California State University Channel Islands, USA
Luis Alvarez Consul
Luis Cristobal Núñez Betancourt
CSIC, España
CIMAT, Mexico
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
Flaviana Riveiro
Homero Renato Gallegos Ruiz
Universidad de Guanajuato, Mexico
CIMAT, Mexico
Insong Choe
Korea Institute for Advanced Study, Korea
Israel Moreno Mejia
UNAM, Mexico
Héctor Fabián Campos Mora
Manuel Cruz López
Universidad de Guanajuato, Mexico
Maria Christina Fernandez
California State University Channel Islands, USA
Marina Logares
Martha María Bernal Guillén
Max-Planck-Institut für Mathematik, Germany
CIMAT, Mexico
Mauricio Angel Angel
Universidad Central de Venezuela, Venezuela
Michael Misel
California State University Channel Islands, USA
Mihaela Iftime
MCPHS, USA
Mirna Lissette Gómez Morales
Universidad de Guanajuato, Mexico
Morgan Sherman
California State University Channel Islands, USA
Nicolás Santiago Botbol
Universidad de Buenos Aires, Argentina
Osbaldo Mata Gutierrez
IMATE MORELIA (UNAM), Mexico
Peter Dalakov
Rafael Heraclio Villareal Rdguez.
University of Pennsylvania, USA
CINVESTAV, IPN, Mexico
Ralf Kaspronitz
University of Munster, Germany
Rita Jiménez Rolland
CINVESTAV, Mexico
Sadia Souri
Stefano Guerra
California State University Channel Islands, USA
University of Pennsylvania, Mexico
Sukmoon Huh
University of Michigan, Ann Arbor, USA
Universidad Federico Santa Maria de Chile, Chile
Victor González
Victor Moreno
Walter Ferrer Santos
California State University Channel Islands, USA
Wilbert Luna Ramírez
CINVESTAV, IPN, Mexico
Yashonidhi Pandey
Universite de Montpellier-II, France
Centro de Matemática, Facultad de Ciencias,
Uruguay
Peter Newstead
University of Liverpool, England
S. Ramanan
Chennai Mathematics Institute, India,
V Balaji
Chennai Mathematics Institute, India
Daniel Hernandez Ruiperez
Universidad de Salamanca, Spain
Grze, Ivona
University of Channel Islands, USA
Oscar Garcia-Prada
CSIC,Spain
Ugo Bruzzo
SISSA , Italy
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected].
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
[email protected],
[email protected]
[email protected]
[email protected]
[email protected]
[email protected]
Claudia Reynoso
FAMAt, Mexico
[email protected]
Jesus Muciño
IMATE MORELIA (UNAM)
Xavier Gómez Mont
Centero de Investigación en Matemáticas
Leticia Brambila Paz
Centro de Investigación en Matemáticas
[email protected]
[email protected]
[email protected]
Répartition par nationalité des participants à l'école
"Fibrés vectoriels"
27 novembre-7 décembre 2006, Guanajuato (Mexique)
ALLEMAGNE
2
ARGENTINE
3
BRESIL
4
CHILI
2
COREE
1
ESPAGNE
5
FRANCE
1
INDE
3
ITALIE
1
MEXIQUE
24
PORTUGAL
1
UK
2
URUGUAY
2
USA
15
VENEZUELA
1
TOTAL = 67