5th Meeting on Commutative Algebra and Algebraic Geometry

August 12 – August 14 – IMPA

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Our research group in Commutative Algebra and Algebraic Geometry (ALGA) is organizing the fifth meeting since 1997. This year we will meet from August 12 to 14 at IMPA, Rio de Janeiro, Brazil. This is a satellite meeting to the XVII Brazilian Algebra Meeting. The meeting will be special, as we will celebrate the sixtieth anniversaries of two mathematicians who greatly contributed to forming our group, Aron Simis (UFPE) and Steven Kleiman (MIT).

 

Organizing Committee

Arnaldo Garcia (IMPA)
Eduardo Esteves (IMPA)

Participants

 Abramo Hefez (UFF)
 Amílcar Pacheco (UFRJ)
 Antônio Engler (UNICAMP)
 Arnaldo Garcia (IMPA)
 Aron Simis (UFPe)
 Barry Green (U. Stellenbosch, South Africa)
 Carlos Bahiano (UFBa)
 Carolina Araújo (Princeton, USA)
 Cicero Carvalho (U. Uberlândia)
 Daniel Levcovitz (USP, São Carlos)
 Eduardo Esteves (IMPA)
 Fernando Xavier (UFPb)
 Francesco Russo (UFPe)
 Hans-Georg Rück (U. Kassel, Germany)
 Hernando Bedoya Rodriguez (UERJ)
 Isabel Bermejo (U. La Laguna, Spain)
 Ivan Pan (UFRGS)
 Jaime Edmundo Apaza Rodriguez (PUC/RJ)
 José Gilvan Oliveira (UFES)
 Josinalva Estácio Menezes (UFRPe)
 Juscelino Bezerra dos Santos (IMPA)
 Lucia Caporaso (Rome 3, Italy)
 Luciane Quoos Conte (UFRJ)
 Marc Chardin (Jussieu, France)
 Marc Hindry (U. Paris VII, Jussieu, France)
 Marcelo Escudeiro Hernandes (U. Maringá)
 Masaaki Homma (U. Kanagawa, Japan)
 Miriam Abdón (PUC-RJ)
 Neuza Kakuta (UNESP, São José do Rio Preto)
 Parham Salehyan (IMPA)
 Patrícia Helena Araújo da Silva Nogueira (IMPA)
 Paulo Brumatti (UNICAMP)
 Paulo Henrique Viana (PUC-RJ)
 Paulo Machado (UFMG)
 Philippe Gimenez (U. Valladolid, Spain)
 Rene Schoof (Rome 2, Italy)
 Severino Collier Coutinho (UFRJ)
 Steven Kleiman (MIT, USA)
 Valmecir Bayer (UFES)
 Yves Lequain (IMPA)

Speakers 

Lucia Caporaso (Roma 3, Italy) – Geometrical and combinatorial properties of stable spin curves
Marc Chardin (Jussieu, France) – Liaison of varieties of small dimensions and cohomology
Eduardo Esteves (IMPA) – 
Arnaldo Garcia (IMPA) – Some constructions of curves over finite fields
Philippe Gimenez (U. Valladolid, Spain) – Saturation and regularity of a homogeneous ideal
Abramo Hefez (UFF) – Analytic classification of plane branches up to multiplicity four
Marc Hindry (U. Jussieu, France) – About the rank of Jacobians over function fields 
Masaaki Homma (U. Kanagawa, Japan) – Weierstrass pairs on a curve
Amílcar Pacheco (UFRJ – UB) – Distribution of the traces of Frobenius on elliptic curves over function fields
Hans-Georg Rueck (U. Kassel, Germany) – Elliptic Curves over Finite Fields and Cryptography 
Francesco Russo (UFPe) – Birational maps and projective geometry
Rene Schoof (U. Roma 2, Italy) – Abelian varieties over Q with bad, semi-stable reduction in one prime only

 

Abstrcts

Program

Monday, August 12

09:00 – 09:50

Geometrical and combinatorial properties of stable spin curves
Lucia Caporaso

10:00 – 10:50

Opening
Speeches

11:00 – 11:30

Coffee Break

11:30 – 12:20

Saturation and regularity of a homogeneous ideal
Philippe Gimenez

12:20 – 15:00

Lunch Break

15:00 – 15:50

Analytic classification of plane branches up to multiplicity four
Abramo Hefez

16:00 – 16:50

Distribution of the traces of Frobenius on elliptic curves over function fields
Amílcar Pacheco

17:00 – 17:30

Coffee Break

   

17:30 – 18:20

Elliptic Curves over Finite Fields and Cryptography 
Hans-Georg Rück

Tuesday, August 13

09:00 – 09:50

Liaison of varieties of small dimensions and cohomology
Marc Chardin

10:00 – 10:50

Weierstrass pairs on a curve
Masaaki Homma

11:00 – 11:30

Coffee Break

11:30 – 12:20

Some constructions of curves over finite fields
Arnaldo Garcia

12:20 – 15:00

Lunch Break

15:00 – 19:30

Trip to Sugar Loaf

20:30 – ??:??

Dinner at Porcão Rio’s

Wednesday, August 14

10:00 – 10:50

About the rank of Jacobians over function fields 
Marc Hindry

11:00 – 11:30

Coffee Break

11:30 – 12:20

Birational maps and projective geometry
Francesco Russo

12:20 – 15:00

Lunch Break

15:00 – 15:50

Abelian varieties over Q with bad, semi-stable reduction in one prime only
Rene Schoof

16:00 – 16:50

Limits of ramification points in families of plane curves
Eduardo Esteves