8th swiss-french workshop in Algebraic Geometry

7 - 11 January 2019, in Charmey
(near Gruyères, Fribourg, Switzerland)

Mini-courses

Olivier Benoist (ENS Paris)
Algebraic cycles on real algebraic varieties
  
Dan Loughran (University of Manchester) Rational points on varieties
  
Etienne Mann (University of Angers)
Algebraic stacks
  

Schedule

Monday  
January 9
Tuesday  
January 10
Wednesday  
January 11
Thursday  
January 12
Friday  
January 13
 






12h30 welcome
 breakfast

8h45-9h45 
 mini-course 1

10h15-11h15 
 mini-course 2

11h45-12h45 
 mini-course 3

 breakfast

8h45-9h45 
 mini-course 1

10h15-11h15 
 mini-course 2

11h45-12h45 
 mini-course 3

 breakfast

8h45-9h45 
 mini-course 1

10h15-11h15 
 mini-course 2

11h45-12h45 
 mini-course 3

 breakfast

8h45-9h45 
 mini-course 1

10h-11h 
 mini-course 2

11h15-12h15 
 mini-course 3

 lunch  lunch  lunch  lunch


14h30-15h30 
 mini-course 1

16h00-17h00 
 mini-course 2

17h30-18h30 
 mini-course 3

 dinner

time for discussion / enjoying the mountain side

  


17h20-18h10 
 tba

18h30-19h20 
 tba

 dinner

time for discussion / enjoying the mountain side

  


17h20-18h10 
 tba

18h30-19h20 
 tba

 dinner

time for discussion / enjoying the mountain side

  


17h20-18h10 
 tba

18h30-19h20 
 tba

 dinner

Location

VIVA GRUYERE Charmey, Rte des Arses 4, 1637 Charmey

The journey to Charmey is 2h10 from Geneva, 2h30 from Basel/Zürich, 1h30 from Lausanne.
See timetables on www.cff.ch, the bus stop is "Charmey (Gruyère), Le Chêne". The place is very close to the bus stop.

Titles and abstracts

Mini-courses

Olivier Benoist - Algebraic cycles on real algebraic varieties
The real locus of a smooth projective real algebraic variety is a differentiable manifold. How much of its topology can be seen by algebraic geometers? For instance, are all differentiable submanifolds close to the real locus of an algebraic subvariety? Homologous to the real locus of an algebraic subvariety? We will explain classical results, progress in collaboration with Olivier Wittenberg, and open questions.

 
Dan Loughran - Rational points on varieties
The topic of rational points on varieties is a venerable one, and is the modern way to study solutions to Diophantine equations. The fundamental problems are to determine whether a given variety has a rational point, and if so, "how many" rational points it has. We shall begin with the study of rational points on simple classes of varieties over the field of rational numbers, and introduce tools such as heights, local-global principles, and techniques from analytic number theory. With these tools in hand, towards the end of the course we shall study the problem of existence of rational points in families of varieties.

 
Etienne Mann - Algebraic stacks
In these lectures, we will first explain the motivation of stacks, then explain the notion fibered categories in groupoids. After, we will give the definition of stacks and algebraic stacks. We will give a lot of easy examples where we can compute everything.
At the end, we will define the orbifold cohomology and may be we will explain the root construction and how to define a toric stack.
 

Research talks

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Participants

Olivier Benoist (Paris)
Fabrizio Barroero (Basel)
Cinzia Bisi (Ferrara)
Anna Bot (ETH)
Jérémy Blanc (Basel)
Alberto Calabri (Ferrara)
Jung Kyu Canci (Basel)
Benoît Dejoncheere (Lyon)
Gabriel Dill (Basel)
Adrien Dubouloz (Dijon)
Sara Durighetto (Ferrara)
Andrea Fanelli (Versailles)
Linda Frey (Copenhagen)
Pascal Fong (Basel)
Richard Griffon (Basel)
Philipp Habegger (Basel)
Isac Hedén (Warwick)
Lucy Jauslin-Moser (Dijon)
Stéphane Lamy (Toulouse)
Pierre Le Boudec (Basel)
Anne Lonjou (Basel)
Dan Loughran (Manchester)
Frédéric Mangolte (Angers)
Etienne Mann (Angers)
Giao Nguyen (Ferrara)
Erik Paemurru (Loughorough)
Joachim Petit (Basel)
Quentin Posva (EPFL)
Julia Schneider (Basel)
Ursina Schweizer (EPFS)
Samuel Streeter (Manchester)
Axel Supersac (Angers)
Ronan Terpereau (Dijon)
Ettore Turatti (Dijon)
Christian Urech (Imperial College)
Immanuel van Santen (Basel)
Francesco Veneziano (Pisa)
Egor Yasinsky (Basel)
Sokratis Zikas (Basel)
Susanna Zimmermann (Angers)

To register write an email to Susanna Zimmermann until the beginning of November.

Organisers

Philipp Habegger (University of Basel)
Ronan Terpereau (University of Burgundy)
Susanna Zimmermann (University of Angers)

The swiss-french workshops in Algebraic Geometry

Here are the previous ones:

1st, 2nd , 3rd, 4th, 5th, 6th, 7th swiss-french workshop in Algebraic Geometry

Financial support

We gratefully acknowledge support from:
ANR FIBALGA
Institut de Mathématiques de Bourgogne
GDR Singularités (CNRS)
ISITE-BFC Project Motivic Invariants of Algebraic Varieties
LAREMA
PEPS (CNRS)
Swiss Academy of Sciences
Swiss doctoral program (cuso)
Swiss mathematical society
University of Angers
University of Basel
University of Rennes (CNRS)