Algebra and Number Theory

Chapter 1 Fields of cohomological dimension 1 versus C1-fields

Chapter 2 Modules of Witt vectors

Chapter 3 On “horizontal” invariants attached to quadratic forms

Chapter 4 On the dimension and other numerical invariants of algebras and vector products

Chapter 5 Purity for multipliers

Chapter 6 Quotients of E n by <math display='block'> <mi mathvariant='fraktur'>a</mi> </math> $$\mathfrak{a}$$ n+1 and Calabi-Yau manifolds

Chapter 7 A generalized Hodge-Tate conjecture for algebraic varieties with totally degenerate reduction over p-adic fields

Chapter 8 The cyclicity question

Chapter 9 Moduli stacks of vector bundles and Frobenius morphisms

Chapter 10 On the length of a quadratic form

Chapter 11 Division algebras over rational function fields in one variable

Chapter 12 Distinguished non-Archimedean representations

Chapter 13 Zéros supplémentaires de fonctions L p-adiques de formes modulaires

Chapter 14 The cyclotomic trace map and values of zeta functions

Chapter 15 Ordinary forms and their local Galois representations

Chapter 16 Supercuspidal representations and symmetric spaces

Chapter 17 Overconvergent p-adic Siegel modular forms

Chapter 18 Splitting of abelian varieties: a new local-global problem

Chapter 19 Ramanujan graphs and zeta functions

Chapter 20 Recovering modular forms and representations from tensor and symmetric powers

Chapter 21 On restriction of admissible representations

Chapter 22 Fine Selmer groups for elliptic curves with complex multiplication

Chapter 23 Variations on the Six Exponentials Theorem

Chapter 24 Appendix: Periods on the Kummer surface

Chapter 25 On the p-adic absolute CM-period symbol