Colloquium De Giorgi 2013 and 2014

1. Front Matter

   Pages i-xv

   PDF

2. The Mathematical Truth1

   • Enrico Bombieri

   Pages 1-2

3. New developments in Galois theory

   • Pierre Cartier

   Pages 3-6

4. Trace functions over finite fields and their applications

   • Étienne Fouvry, Emmanuel Kowalski, Philippe Michel

   Pages 7-35

5. Topological methods in algebraic geometry

   • Fabrizio Catanese

   Pages 37-77

6. Grothendieck at Pisa: crystals and Barsotti-Tate groups

   • Luc Illusie

   Pages 79-107

7. Riemann’s hypothesis

   • Brian Conrey

   Pages 109-117

8. Stability results for the Brunn-Minkowski inequality

   • Alessio Figalli

   Pages 119-127

9. Schanuel’s Conjecture: algebraic independence of transcendental numbers

   • Michel Waldschmidt

   Pages 129-137

10. Back Matter

    Pages 139-139

    PDF

​Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate students and advanced undergraduate students. The lectures are intended to be not too technical, in fields of wide interest. They must provide an overview of the general topic, possibly in a historical perspective, together with a description of more recent progress. The idea of collecting the materials from these lectures and publishing them in annual volumes came out recently, as a recognition of their intrinsic mathematical interest, and also with the aim of preserving memory of these events.

• Barsotti-Tate groups
• Brunn-Minkowski inequality
• Ennio De Giorgi
• Galois theory
• Schanuel's conjecture
• trace functions

Policies and ethics