Topics:

Non-Associative Algebras

• • Graduated modular Lie algebras, in particular Lie algebras of maximal and thin class
  • Graduations of Lie algebras and non-associative algebras
  • Cohomology of Lie algebras and restricted Lie algebras

Number Theory

• • Exponentials in positive characteristic, finite polylogarithms and generalisations
  • Congruences for combinatorial sums
  • Irreducible polynomials over finite fields (constructions and enumeration)

Finite Groups

• • Groups of permutations, classical groups; sets of generators for classes of groups
  • Inverse theory of groups, integrals of groups
  • Character theory
  • Applications of group theory to symmetric cryptography (security of protocols related to group properties of round functions)

Totally Disconnected, Locally Compact Groups

• • Cohomology, the Euler characteristic and zeta functions of totally disconnected, locally compact groups
  • Stallings' theorem for finitely generated pro-p groups
  • Stallings' theorem for compactly generated, totally disconnected, locally compact groups
  • Totally disconnected, locally compact topologically simple groups

Combinatorial and Geometrical Group Theory

• • Study of the reticle of subgroups in finitely generated groups
  • Finiteness properties in groups and simplicity in finitely generated groups
  • Decision problems in finitely generated groups
  • Growth functions in groups
  • Actions of groups on graphs. Representations of groups on graphs, posets and lattices

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Participants:

• Marina Avitabile
• Francesca Dalla Volta
• Sandro Mattarei
• Francesco Matucci
• Andrea Previtali
• Pablo Spiga
• Thomas Stefan Weigel
• Giulia Dal Verme
• Nicola Grittini