Georgios Kydonakis

collaborators

3 papers

math.DG2026

Symmetric spaces for groups over involutive algebras and applications to Higgs bundles

Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1

We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras $(A, I ¨ )$ . In the case when the algebra $(A, I ¨ )$ is Hermitian, or th…

math-ph2026

Spectral Networks: Bridging higher-rank TeichmÃ¼ller theory and BPS states

Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov +2

This book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the…

math.AG2025

Level structures on parahoric torsors and complete integrability

Georgios Kydonakis, Lutian Zhao

For a smooth complex algebraic curve $X$ and a reduced effective divisor $D$ on $X$ , we introduce a notion of $D$ -level structure on parahoric $G_{I^¸}$ -torsor…