Interactions of Classical and Numerical Algebraic Geometry
A conference in honor of A.J. Sommese - Notre Dame - May 22-24 2008

Thursday, May 22

Morning session: McKenna Hall - Seminar Room 100-104

8:00-9:00 am                      Coffee and Registration

9:00-9:30 am                      Welcoming remarks

                                                Joseph Marino, Dean, College of Science, Notre Dame

                                                William Dwyer, Chair, Dept. of Mathematics, Notre Dame

9:30-10:30 am                    Charles Wampler - General Motors

                        From isolated solutions to positive dimensions and back again: A brief history of numerical algebraic geometry

10:30-11:00 am                 Coffee Break

11:00-12:00 pm                 Mauro Beltrametti - Università di Genova

A view on extending morphisms from ample divisors

                  Lunch Break (on your own) Afternoon session: McKenna Hall - Auditorium

2:00-3:00 pm                      Chris Peterson - Colorado State University

Encoding and decoding of algebro-geometric data

3:00-3:30 pm                      Coffee Break

                                                Seminar room 100-104 open for informal interactions
           

3:30-4:30 pm                      Jaroslaw Wisniewski – Warsaw University

                                                 Algebraic geometry and phylogenetics          
                                                

4:30-5:00 pm                      Second Chances

6:00-9:00 pm                      Party at Andrew & Rebecca Sommese's home

Friday, May 23

Morning and afternoon sessions: McKenna Hall - Auditorium

8:00-9:30 am                      Coffee and Registration

9:30-10:30 am                    Jan Verschelde – University of Illinois at Chicago

Toolboxes and blackboxes for solving polynomial systems

10:30-11:00 am                 Coffee Break

                                                Seminar room 100-104 open for informal interactions

11:00-12:00 pm                 Mark Andrea de Cataldo – SUNY Stony Brook

Filtrations in cohomology and geometry

                  Lunch Break (on your own)

2:00-3:00 pm                      T.Y. Li – Michigan State University

Hom4PS-2.0 and Hom4PS-2.0para

3:00-3:30 pm                      Coffee Break                      
                                                Seminar room 100-104 open for informal interactions

3:30-4:30 pm                      Lothar Goettsche – ICTP Trieste

Holomorphic Euler characteristic of line bundles on moduli spaces of sheaves on surfaces

4:30-5:00 pm                      Second Chances   

6:00-On                                Banquet in honor of Andrew J. Sommese

                                               Morris Inn Private Dining Rooms

Saturday, May 24

Morning and afternoon sessions: McKenna Hall - Auditorium

8:00-9:30 am                      Coffee and Registration

9:30-10:30 am                    Eugene Allgower – Colorado State University

Turning points and bifurcations for homotopies of analytic maps

10:30-11:00 am                 Coffee Break
                                                Seminar room 100-104 open for informal interactions

11:00-12:00 pm                 Bernard Shiffman – Johns Hopkins University

Number variance for simultaneous zeros of random sections of holomorphic line bundles

                  Lunch Break (on your own)

2:00-3:00 pm                      Frank Olaf Schreyer – Universität des Saarlandes

Betti numbers of graded modules

3:00-3:30 pm                      Coffee Break
                                                Seminar room 100-104 open for informal interactions

3:30-4:30 pm                      Second Chances

Abstracts of Talks (PDF)

The American Mathematical Society has provisionally agreed to publish the proceedings of Interactions of Classical and Numerical Algebraic Geometry as a volume of the Contemporary Mathematics Proceedings series.

All participants are cordially invited to submit a paper for publication in the volume. Papers should be written in any TeX dialect (AMS-LaTeX preferred) and should be submitted electronically. All papers will be peer-reviewed as customary.

Deadline for submission: September 15, 2008

Where to send your paper: Daniel Bates dbates1@nd.edu

Resources: LaTeX resources for formatting for Contemporary Mathematics are available at http://www.ams.org/cgi-bin/tex-resources.pl/ftp/pub/author-info/packages/conm-p/amslatex?title=Contemporary+Mathematics+(Proceedings)

Slides of the Talks

 Several speakers have made available material from their talks. To acess the materials, click on the desired/available format after the title of the talk.

Charles Wampler - From isolated solutions to positive dimensions and back again: A brief history of numerical algebraic geometry PPT

Mauro Beltrametti - A view on extending morphisms from ample divisors PDF

Jan Verschelde – Toolboxes and blackboxes for solving polynomial systems PDF

T.Y. Li – Hom4PS-2.0 and Hom4PS-2.0para PDF

Eugene Allgower – Turning points and bifurcations for homotopies of analytic maps PDF

Frank Olaf Schreyer – Betti numbers of graded modules PDF

Juan Migliore was so kind as to serve as the semi-official photographer of the conference.

A number of deligghtful pictures will appear here very soon.