相关论文: Parabolic Bundles and Parabolic Higgs bundles

We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.

The present knowledge on the Higgs-like boson discovered at the LHC is summarized. The data accumulated so far are consistent with the Standard Model predictions and put interesting constraints on alternative scenarios of electroweak…

In this paper we generalize the theory of multiplicative $G$-Higgs bundles over a curve to pairs $(G,\theta)$, where $G$ is a reductive algebraic group and $\theta$ is an involution of $G$. This generalization involves the notion of a…

New views on the diffuse interstellar bands are discussed. In particular results from DIB surveys and the study of near-infrared DIBs.

A geometric characterization of the structure of the group of automorphisms of an arbitrary Birkhoff-Grothendieck bundle splitting $\bigoplus_{i=1}^{r} \mathcal(m_{i})$ over $\mathbb{C}\mathbb{P}^{1}$ is provided, in terms of its action on…

We summarize current constraints on the couplings of the Higgs boson in the framework of an effective theory beyond the Standard Model.

Higher bundles are homotopy coherent generalisations of classical fibre bundles. They appear in numerous contexts in geometry, topology and physics. In particular, higher principal bundles provide the geometric framework for higher-group…

Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P^1, we find necessary and sufficient conditions on its…

In this paper we give an overview of different Morse-theoretic methods used to study the topology of moduli spaces of Higgs bundles.

This is a survey paper on Alegbraic Geometry over Lie Algebras

We classify isoparametric hypersurfaces in complex hyperbolic spaces.

This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties…

This is a survey article to appear in the "Handbook on Teichmueller Theory".

We define the notion of a parahoric group scheme $\mathcal G$ over a smooth projective curve, and formulate four conjectures on the structure of the stack of $\mathcal G$-bundles, which generalize to this case well-known results on…

This article is devoted to the investigation of wrap groups of connected fiber bundles. CW-groups associated with wrap groups are studied.

We review some results and techniques from our papers devoted to the computation of motivic classes of stacks of parabolic Higgs budles and bundles with connections on a curve. In the last section we present some directions for future work,…

Survey article on the geometry of spherical varieties. Invited survey for Transformation Groups.

These lecture notes review the theoretical background to the Higgs boson, provide an introduction to its phenomenology, and describe the experimental tests that lead us to think that "beyond any reasonable doubt, it is a Higgs boson".…

Table of contents 1. Introduction 2. Theory 3. Searches at LEP2 4. Results 5. Futur colliders 6. Final remarks

This survey is a brief introduction to the theory of hyperbolic buildings and their lattices, with a focus on recent results.