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workshop [2019/10/22 15:55] weronikaworkshop [2019/11/03 21:09] (Version actuelle) weronika
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 ====== Workshop "Real geometry in the footsteps of Gabriel Cramer"====== ====== Workshop "Real geometry in the footsteps of Gabriel Cramer"======
 +
 +** Geneva, 2019 , October 28th - November 1st, Villa Battelle **
  
 ---- ----
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 Monday, October 28, 16:30, Battelle, Ilia Itenberg, "Planes in four-dimensional cubics". Monday, October 28, 16:30, Battelle, Ilia Itenberg, "Planes in four-dimensional cubics".
  
-Tuesday, October 29, 11:45, Battelle, Nikita Kalinin, Talk 1+Tuesday, October 29, 11:45, Battelle, Nikita Kalinin, "Symplectic packing problem".
  
-Tuesday, October 29,14:45, Battelle, Kristin Shaw, Minicourse +Tuesday, October 29, 14:45, Battelle, Kristin Shaw, "Poincaré duality for tropical manifolds".   
-                      + 
 +                    
                                            
-Wednesday, October 30, 10:30, Battelle, Kristin Shaw, Minicourse+Wednesday, October 30, 10:30, Battelle, Kristin Shaw, "Poincaré duality for tropical manifolds"
  
  
  
  
-Thursday, October 2111:00,Battelle, Kristin Shaw, Minicourse +Thursday, October 3114:30,Battelle, Kristin Shaw, "Poincaré duality for tropical manifolds"
  
-Thursday, October 21,14:30, Battelle, Nikita Kalinin, Talk 2.+Thursday, October 3116:00, Battelle, Nikita Kalinin,"Symplectic packing problem and Nagata's conjecture".
  
 +Friday, November 1, 15:00, Battelle, Nikita Kalinin, "Symplectic packing problem and Nagata's conjecture".
 +
 +----
  
 **Abstracts:** **Abstracts:**
 ---- ----
  
-Kristin ShawMinicourse: **Poincaré duality for tropical manifolds**+Ilia Itenberg (Sorbonne University) 
 +    
 +** Planes in four-dimensional cubics ** 
 + 
 +We discuss possible numbers of 2-planes in a smooth cubic hypersurface in the 5-dimensional projective space. 
 +We show that, in the complex case, the maximal number of planes is 405, the maximum being realized by the Fermat cubic. 
 +In the real case, the maximal number of planes is 357. 
 + 
 +The proofs deal with the period spaces of cubic hypersurfaces in the 5-dimensional complex projective space 
 +and are based on the global Torelli theorem and the surjectivity of the period map for these hypersurfaces, 
 +as well as on Nikulin's theory of discriminant forms. 
 + 
 +Joint work with Alex Degtyarev and John Christian Ottem. 
 + 
 + 
 +---- 
 + 
 +Kristin Shaw (University of Oslo) 
 + 
 +Minicourse: **Poincaré duality for tropical manifolds**
  
 The series of lectures will focus on the different formulations and approaches to Poincaré duality for the tropical homology group of tropical manifolds.  The series of lectures will focus on the different formulations and approaches to Poincaré duality for the tropical homology group of tropical manifolds. 
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 ---- ----
  
-Nikita Kalinin +Nikita Kalinin (HSE University)
  
 Talk 1: **Symplectic packing problem.** Talk 1: **Symplectic packing problem.**
workshop.1571752545.txt.gz · Dernière modification : 2019/10/22 15:55 de weronika