Ad­vanced Sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics"

  Location: A3.339                     Time: 14:15 - 15:45

SoSe 2024

The seminar will take place regularly on Tuesdays from April 9th, 2024.

  • Tuesday, 16.04.2024 Jan Diekmann "Fermat's Last Theorem for regular primes"
  • Tuesday, 23.04.2024 Michael Baake, "Dynamical and spectral properties of some shift spaces of number-theoretic origin" (11:15 - 12:45 Uhr, Medienraum D2.314)
  • Tuesday, 23.04.2024 Fabian Gundlach, Symmetries of the set of squarefree integers in a number field 
  • Tuesday, 21.05.2024 Marc Technau, The distribution of quadratic non-residues: A stroll through the garden
  • Tuesday, 28.05.2024 Béranger Seguin, tba
  • Tuesday, 11.06.2024 Daniel Windisch, Algebraic geometry of equilibria in cooperative games

Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Béranger Seguin (UPB), Al­geb­ra­ic Patch­ing for Be­gin­ners

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: Algebraic Patching for Beginners

Abstract: Using the language and the tools of rigid analytic geometry, Harbater (1987) has defined a "patching operation" which can be used to solve the inverse Galois problem over fields like Qₚ(T) or Fₚ((X))(T). Later, Haran and Völklein (1996) rephrased this construction in a purely algebraic language, replacing all geometric arguments with (almost entirely) explicit constructions. Our goal is to present their proof.

Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Béranger Seguin (UPB), Al­geb­ra­ic Patch­ing for Be­gin­ners

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: Algebraic Patching for Beginners

Abstract: Using the language and the tools of rigid analytic geometry, Harbater (1987) has defined a "patching operation" which can be used to solve the inverse Galois problem over fields like Qₚ(T) or Fₚ((X))(T). Later, Haran and Völklein (1996) rephrased this construction in a purely algebraic language, replacing all geometric arguments with (almost entirely) explicit constructions. Our goal is to present their proof.