Centre Interfacultaire Bernoulli
Centre Interfacultaire Bernoulli > Real and Tropical Algebraic Geometry
SB
Bernoulli
 Related Conference 
Summer School in Symplectic and Real Algebraic Geometry

Real and Tropical Algebraic Geometry

From January through June 2008, the Bernoulli Center of the EPFL is hosting a
research program on the topic of Real and tropical algebraic geometry.

The main themes of the program are
• Tropical geometry
• Gromov-Witten invariants and enumerative tropical geometry
• Welschinger invariants and enumerative aspects of real algebraic and symplectic geometries
• Topology of real algebraic varieties
• Bounds on real solutions

The program will consist of short courses and regular seminars throughout the term, punctuated by three workshops and a final conference.

 

Program

January 21st → 26th

Introductory Workshop (Poster - PDF file) (Schedule) (Abstracts)

The workshop is addressed mainly to students and graduate students. The purpose of the workshop is to present the topics of the program to non-specialists.
The workshop program will contain lecture courses by I. Itenberg (Strasbourg), V. Kharlamov (Strasbourg), and F. Sottile (Texas A&M University).

March 10th → 14th Tropical and symplectic aspects of real geometry (Poster - PDF file)(Schedule)
April 21st → 26th Enumeration and bounds in real algebraic geometry (Poster - PDF file)(Schedule)(Workshop Anouncement)
June 16th → 21st Final conference (Poster - PDF file)(Schedule)(Abstracts)
 

Poster

(350kB PDF File)

 

 

Lecture Courses
 
A. Felikson "Hyperbolic Coxeter polytopes"

Details

Thursday, June 5th, 2008 from 2 PM to 4 PM
A. Tsikh "Coamoebas of Discriminants and Hypergeometric Mellin-Barnes Integrals"

Details

Wednesday, May 28th, 2008 from 2 PM to 4 PM
 
A. Vainshtein "On double Hurwitz Numbers in Genus 0"

Details

Friday, May 2nd, 2008 from 3 PM to 5 PM
 
A. Gabrielov "Approximation by Monotone Families of Compact Sets and Topological Complexity of the Sets Definable in o-minimal Structures"

Details

Friday, May 2nd, 2008 from 10 AM to 12 PM
 
"Graphs, Braids, and Eigenfunctions of the Schrodinger Operator"

Details

Tuesday, March 25th, 2008 from 2 PM to 4 PM
 
A. Degtyarev "Topology of real algebraic varieties"

Details

Wednesday March 19th, 2008 from 2 PM - 4 PM
Wednesday April 2nd, 2008 from 2 PM to 4 PM 3.30 PM to 5.30 PM
Wednesday April 9th, 2008 from 2 PM to 4 PM
Wednesday April 16th, 2008 from 2 PM to 4 PM
Tuesday April 29th, 2008 from 2 PM to 4 PM
Wednesday April 30th, 2008 from 2 PM to 4 PM
Tuesday May 6th, 2008 from 2 PM to 4 PM
Wednesday, May 7th, 2008 from 2 PM to 4 PM
Wednesday, May 14th, 2008, from 2 PM to 4 PM
Wednesday, May 21st, 2008 from 2 PM to 4 PM Tuesday, May 13th, 2008, from 2 PM to 4 PM
 
S. Orevkov "Representations of braid groups and their subgroups,
  and applications to real algebraic curves"

Details

Thursday March 6th, from 2 PM to 4 PM
Thursday March 20th, from 2 PM to 4 PM
Tuesday April 1st, from 10 AM to 12 PM
Thursday April 3rd, from 2 PM to 4 PM
Tuesday April 8th, from 10 AM to 12 PM 2 PM to 4 PM
Thursday April 10th, from 2 PM to 4 PM
Tuesday April 15th, from 10 AM to 12 PM
Thursday April 17th, from 2 PM to 4 PM
 
E. Shustin "Enumeration of real rational curves on Del Pezzo surfaces"

Details

Wednesday March 5th, 2008 from 10 AM to 12 PM
Thursday March 6th, 2008 from 10 AM to 12PM
Wednesday March 19th, 2008 from 10 AM to 12 PM
Thursday March 20th, 2008 from 10 AM to 12 PM
Wednesday April 2nd, 2008 from 10 AM to 12 PM
Thursday April 3rd, 2008 from 10 AM to 12 PM
Wednesday April 9th, 2008 from 10 AM to 12 PM
Thursday April 10th, 2008 from 10 AM 12 PM
Wednesday April 16th, 2008 from 10 AM to 12 PM
Thursday April 17th, 2008 from 10 AM to 12 PM
 
A. Varchenko "The B. and M. Shapiro conjecture in real algebraic geometry   
  and the Bethe ansatz"

Details

Wednesday May 28th, 2008 from 10 AM to 12 PM
Thursday May 29th, 2008 from 10 AM to 12 PM
Wednesday June 4th, 2008 from 10 AM to 12 PM
Thursday June 5th, 2008 from 10 AM to 12 PM
Wednesday June 11th, 2008 from 10 AM to 12 PM
 
J.-Y. Welschinger     "Lower bounds, sharpness in real algebraic geometry"

Details

Thursday February 21st, 2008 from 2 PM to 4 PM
Tuesday February 26th, 2008 from 2 PM to 4 PM
Thursday February 28th, 2008 from 2 PM to 4 PM
Wednesday March 5th, 2008 from 2 PM to 4 PM

 

 

Accomodation

 

Hotel arrangements for invited participants will be made directly by the staff at CIB.

For the other participants, EPFL has negotiated discounted rates at the following hotels :


January 21st → 26th Introductory Workshop List of Hotels.
March 10th → 15th Tropical and symplectic aspects of real geometry List of Hotels.
April 21st → 26th Enumeration and bounds in real algebraic geometry List of Hotels.
June 16th → 21st Final conference List of Hotels .

IMPORTANT : The European Football Championship 2008 will be going on in Switzerland from June 7th to 29th 2008 !! All the hotels are basically full already ! It is important that you book your hotel room RIGHT AWAY !!!!

 

Organizing Committee

Ilia Itenberg (Université Louis Pasteur, Strasbourg)
Viatcheslav Kharlamov (Université Louis Pasteur, Strasbourg)
Boris Shapiro (Stockholm University)
Frank Sottile (Texas A&M University)
Secretariat

Centre Interfacultaire Bernoulli
EPFL SB CIB-GE
Bureau AA.C.034 (Bât. AAC)
Station 15
1015 Lausanne
Switzerland
Interested people are invited to register on-line, or to contact the organizers.


Updated since 24 January 2007 by Frank Sottile.