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

We introduce and study diamonds of GL+(2, R)-invariant subvarieties of Abelian and quadratic differentials, which allow us to recover information on an invariant subvariety by simultaneously considering two degenerations, and which provide a new tool for the classification of invariant subvarieties.

Uploaded October 2024

In this paper we generalize Artin-Verdier, Esnault and Wunram construction of McKay correspondence to arbitrary Gorenstein surface singularities. The key idea is the definition and a systematic use of a degeneracy module, which is an enhancement of the first Chern class construction via a degeneracy locus.

Uploaded October 2024

A new history of mathematics focusing on the marginalized voices who propelled the discipline, spanning the globe and thousands of years of untold stories.

Uploaded October 2024

In this paper, we construct unipotent representations for the real orthagonal groups and the metaplectic groups in the sense of Vogan. Our construction is based on quantum induction which involves the compositions of even number of theta correspondences. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbit.

Uploaded October 2024

The Gold Standard DAT QR provides a comprehensive review of math skills and practice questions for DAT QR.