An overview of Morihiko Saito's theory of mixed Hodge modules
C Schnell - arXiv preprint arXiv:1405.3096, 2014 - arxiv.org
arXiv:1405.3096v1 [math.AG] 13 May 2014 Page 1 arXiv:1405.3096v1 [math.AG] 13 May 2014
AN OVERVIEW OF MORIHIKO SAITO’S THEORY OF MIXED HODGE MODULES CHRISTIAN …
AN OVERVIEW OF MORIHIKO SAITO’S THEORY OF MIXED HODGE MODULES CHRISTIAN …
The Hodge theory of Soergel bimodules
B Elias, S Makisumi, U Thiel, G Williamson… - Introduction to Soergel …, 2020 - Springer
In this chapter, we survey Elias and Williamson's proof of Soergel's conjecture on the
characters of Soergel bimodules. Their work actually establishes a “Hodge theory” for …
characters of Soergel bimodules. Their work actually establishes a “Hodge theory” for …
The decomposition theorem, perverse sheaves and the topology of algebraic maps
M de Cataldo, L Migliorini - Bulletin of the American Mathematical Society, 2009 - ams.org
We give a motivated introduction to the theory of perverse sheaves, culminating in the
decomposition theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is …
decomposition theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is …
Wild harmonic bundles and wild pure twistor D-modules
T Mochizuki - arXiv preprint arXiv:0803.1344, 2008 - arxiv.org
We study (i) asymptotic behaviour of wild harmonic bundles,(ii) the relation between
semisimple meromorphic flat connections and wild harmonic bundles,(iii) the relation …
semisimple meromorphic flat connections and wild harmonic bundles,(iii) the relation …
Topology of Hitchin systems and Hodge theory of character varieties: the case A 1
MAA de Cataldo, T Hausel, L Migliorini - Annals of Mathematics, 2012 - JSTOR
For G= GL 2, PGL 2, SL 2 we prove that the perverse filtration associated with the Hitchin
map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a …
map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a …
Schubert calculus and torsion explosion
G Williamson - Journal of the American Mathematical Society, 2017 - ams.org
The author observes that certain numbers occurring in Schubert calculus for $\text {SL} _n $
also occur as entries in intersection forms controlling decompositions of Soergel bimodules …
also occur as entries in intersection forms controlling decompositions of Soergel bimodules …
[图书][B] Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor -Modules, Part 1
T Mochizuki - 2007 - books.google.com
The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a
local freeness of the prolongment of deformed holomorphic bundle by an increasing order …
local freeness of the prolongment of deformed holomorphic bundle by an increasing order …
Parity sheaves
D Juteau, C Mautner, G Williamson - Journal of the American Mathematical …, 2014 - ams.org
Given a stratified variety $ X $ with strata satisfying a cohomological parity-vanishing
condition, we define and show the uniqueness of “parity sheaves,” which are objects in the …
condition, we define and show the uniqueness of “parity sheaves,” which are objects in the …
[图书][B] Polarizable twistor D-modules
C Sabbah - 2005 - numdam.org
We prove a Decomposition Theorem for the direct image of an irreducible local system on a
smooth complex projective variety under a morphism with values in another smooth complex …
smooth complex projective variety under a morphism with values in another smooth complex …