Title: Triple junction solution for the Allen-Cahn systemAbstract: In this talk, I will discuss recent results on the vector-valued Allen-Cahn system with a triple-well potential. We establish the existence of […]
Title: Hodge symmetries of singular varieties.Abstract: The Hodge diamond of a smooth projective complex variety exhibits fundamental symmetries, arising from Poincaré duality and the purity of Hodge structures. In the case of […]
Title: Higher Modularity of Elliptic Curves Abstract: Elliptic curves E over the rational numbers are modular: this means there is a nonconstant map from a modular curve to E. When […]
Title: Spectral algebraic geometry and topological modular formsAbstract: An important area of study in homotopy theory is the study of elliptic cohomology. In this talk we briefly review the context of elliptic […]
Title - Variations of the Yang-Mills Lagrangian in high dimensionAbstract - In this talk we will present some analysis aspects of gauge theory in high dimension. First, we will study […]
Title: Motives in geometric representation theoryAbstract: The spherical and Iwahori-Hecke algebras of a reductive group are of great importance in the Langlands program. They are categorified by equivariant sheaves on the affine […]
Title: Relative Langlands duality. Abstract: We will review those aspects of the conjectures of Ben-Zvi–Sakellaridis–Venkatesh, that are relevant to the preprint https://arxiv.org/abs/2504.00275 by Liu and Wang. Reference: https://arxiv.org/abs/2409.04677.
Title: Stable maps to quotient stacks with a properly stable point.Abstract: I will present a compactification of the moduli space of maps from families of curves, to certain moduli spaces M, via […]