Add to ORKGIn view of the recent proofs of the $P=W$ conjecture, the present paper reviews and relate the latest results in the non abelian Hodge theory of curves, with a view on how $P=W$ phenomena appear in multiple areas of algebraic geometry. Finally, we retrace the history of results on the conjecture up to the three new proofs of the statement in full generality.Comment: 29 pages, comments are welcome
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a...
We count points over a finite field on wild character varieties of Riemann surfaces for singularitie...
The Hitchin morphism is a map from the moduli space of Higgs bundles $\mathscr{M}_X$ to the Hitchin ...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We formulate the geometric P=W conjecture for singular character varieties. We establish it for comp...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
We establish P=W and PI=WI conjectures for character varieties with structural group $\mathrm{GL}_n$...
We study the topology of Hitchin fibrations via abelian surfaces. We establish the P=W conjecture fo...
The P=W conjecture identifies the perverse filtration of the Hitchin system on the cohomology of the...
We formulate the geometric P=W conjecture for singular character varieties. We establish it for comp...
For any free oriented Borel-Moore homology theory $A$, we construct an associative product on the $A...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2...
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a...
We count points over a finite field on wild character varieties of Riemann surfaces for singularitie...
The Hitchin morphism is a map from the moduli space of Higgs bundles $\mathscr{M}_X$ to the Hitchin ...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
We formulate the geometric P=W conjecture for singular character varieties. We establish it for comp...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
We establish P=W and PI=WI conjectures for character varieties with structural group $\mathrm{GL}_n$...
We study the topology of Hitchin fibrations via abelian surfaces. We establish the P=W conjecture fo...
The P=W conjecture identifies the perverse filtration of the Hitchin system on the cohomology of the...
We formulate the geometric P=W conjecture for singular character varieties. We establish it for comp...
For any free oriented Borel-Moore homology theory $A$, we construct an associative product on the $A...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2...
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a...
We count points over a finite field on wild character varieties of Riemann surfaces for singularitie...
The Hitchin morphism is a map from the moduli space of Higgs bundles $\mathscr{M}_X$ to the Hitchin ...