5 papers
-formality for pro-2 Demushkin groups
Ambrus Pál, Ambrus Pál, Gereon Quick
We study a weak form of formality for differential graded algebras, called -formality, and show that the differential graded -algebras of continuous cochains of…
The minimal width of universal -adic ReLU neural networks
Sándor Z. Kiss, Ambrus Pál
We determine the minimal width of -adic neural networks with the universal approximation property for continuous -valued functions on compact open subsets with resp…
-formality for Demushkin groups at odd primes
Ambrus Pál, Gereon Quick
We study a weak form of formality for differential graded algebras, called -formality, for the cohomology of pro-p Demushkin groups at odd primes p. We show that the different…
Quasi-Boolean groups
Ambrus Pál, Gereon Quick
We give several equivalent characterisations of the maximal pro-2 quotients of real projective groups. In particular, for pro-2 real projective groups we provide a presentation in…
Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic
Jesse Pajwani, Ambrus Pál
For a field, we construct a power structure on the Grothendieck--Witt ring of which has the potential to be compatible with symmetric powers of varieties and the motivic Eu…