专题:Advanced Algebra and Geometry

This cluster of papers focuses on providing proofs and related research on the Langlands Conjectures for GL(n) over local and global fields. It encompasses topics such as automorphic forms, representation theory, L-functions, harmonic analysis, algebraic groups, modular forms, symmetric spaces, and cohomology.
最新文献
The Riemann Hypothesis: A Gauge-Theoretic Proof via Even Dominance and Spectral Stability

preprint Full Text OpenAlex

Structural Landscape of the Riemann Hypothesis via E8 Geometric Knowledge Synthesis

preprint Full Text OpenAlex

The Geometry of the Critical Line: A Monograph on the SCT 5-Manifold, the Prime Translation Group, and the Riemann Zeros.

preprint Full Text OpenAlex

Irreducible symplectic varieties via relative Prym varieties

article Full Text OpenAlex

Adelic Line Bundles on Quasi-Projective Varieties

book Full Text OpenAlex

A Log-Scale Operator Package for the Riemann Xi Function: A Foundation for APM-Linked Mathematics

preprint Full Text OpenAlex

Geometric Sen theory over rigid analytic spaces

article Full Text OpenAlex

The unequal-mass three-loop banana integral

article Full Text OpenAlex

On locally analytic vectors of the completed cohomology of modular curves II

article Full Text OpenAlex

A rank zero $p$-converse to a theorem of Gross--Zagier, Kolyvagin and Rubin

article Full Text OpenAlex

近5年高被引文献
Noninvertible duality defects in 3+1 dimensions

article Full Text OpenAlex 266 FWCI100.3275

Lie Groups and Symmetric Spaces

book-chapter Full Text OpenAlex 213 FWCI7.9582

Introduction to Singularities and Deformations

book Full Text OpenAlex 212 FWCI3.439

Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series

article Full Text OpenAlex 116 FWCI0

Quantum difference equation for Nakajima varieties

article Full Text OpenAlex 80 FWCI14.3815

2-Group symmetries in class S

article Full Text OpenAlex 76 FWCI27.5785

Boundary Chiral Algebras and Holomorphic Twists

article Full Text OpenAlex 66 FWCI22.307

Existence of moduli spaces for algebraic stacks

article Full Text OpenAlex 66 FWCI18.961

Irreducible Representations of Space Groups

book-chapter Full Text OpenAlex 60 FWCI0

A new cohomology class on the moduli space of curves

article Full Text OpenAlex 56 FWCI19.6357