In this volume, we introduce a property of topological dynamical systems that we call finite dynamical complexity. For systems with this property, one can in principle compute the K-theory of the associated crossed product C*-algebra by splitting it up into simpler pieces and using the methods of controlled K-theory. The main part of the paper illustrates this idea by giving a new proof of the Baum-Connes conjecture for actions with finite dynamical complexity.

Uploaded March 2025

This monograph provides a foundation for the theory of Drinfeld modular forms of arbitrary rank r and is subdivided into three chapters. In the first chapter, we develop the analytic theory. In the second chapter, we compare the analytic theory with the algebraic one that was begun in a paper of the third author. In the third chapter, we construct and study some examples of Drinfeld modular forms.

Uploaded March 2025

We study maximal length collections of disjoint paths, or 'disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths can be used to construct an extended directed landscape.

Uploaded March 2025

In this fascinating book Cryptography , Panos Louridas provides a broad and accessible introduction to cryptography, the art and science of keeping and revealing secrets. Louridas explains just how cryptography works to keep our communications confidential, tracing it back all the way to its ancient roots. Then he follows its long and winding path to where we are today and reads the signs that point to where it may go tomorrow.

Uploaded March 2025

In this paper, we investigate the asymptotic analysis and qualitative behaviour for a general sequence of Sacks-Uhlenbeck -harmonic maps from degenerating Riemann surfaces. This answers an open problem proposed by J. D. Moore, aiming at developing a partial Morse theory for closed parametrized minimal surfaces with arbitrary codimensions in compact Riemannian manifolds.

Uploaded March 2025

This book investigates the asymptotic analysis and qualitative behavior

for a general sequence of Sacks-Uhlenbeck α-harmonic maps from degenerating

Riemann surfaces. This answers an open problem proposed by J. D. Moore, aiming

at developing a partial Morse theory for closed parametrized minimal surfaces with

arbitrary codimensions in compact Riemannian manifolds

We construct p-adic L-functions associated with p-refined cohomological cuspidal Hilbert modular forms over any totally real field under a mild hypothesis.

Uploaded October 2024

Informing Possible Future Worlds is the Festschrift in honour of Ulrich Frank on the occasion of his 65th birthday. The Festschrift includes twenty-three essays written by friends, colleagues, and fellow researchers in recognition of Ulrich Frank's contributions to Wirtschaftsinformatik research and the scientific community.

Uploaded October 2024

In Love Triangle , stand-up comedian, ex-maths teacher and Sunday Times number one bestselling author Matt Parker is on a mission to prove why we should all show a lot more love for triangles, along with the useful trigonometry and geometry they enable.

Uploaded October 2024

We study singularity properties of word maps on semisimple Lie algebras, semisimple algebraic groups and matrix algebras and obtain various applications to random walks induced by word measures on compact p-adic groups.

Uploaded October 2024