5 papers
Representations of binary forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for representations of binary by quaternary quadratic forms. One of the main ingredients is a recent measure rigidity result of Einsiedler and Lin…
Effective equidistribution of semisimple adelic periods and representations of quadratic forms
Manfred Einsiedler, Elon Lindenstrauss, Amir Mohammadi +1
We prove an effective equidistribution theorem for semisimple closed orbits on compact adelic quotients. The obtained error depends polynomially on the minimal complexity of interm…
An effective closing lemma for unipotent flows
Elon Lindenstrauss, Gregory Margulis, Amir Mohammadi +2
We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.
Effective equidistribution of orbits under semisimple groups on congruence quotients
Andreas Wieser
We prove an effective equidistribution result for periodic orbits of semisimple groups on congruence quotients of an ambient semisimple group.This extends a previous work of Einsie…
Seifert surfaces in the four-ball and composition of binary quadratic forms
Menny Aka, Peter Feller, Alison Beth Miller +1
We use composition of binary quadratic forms to systematically create pairs of Seifert surfaces that are non-isotopic in the four-ball. Our main topological result employs Gauss co…