Publication
BPS invariants from p-adic integrals
Publications associées (38)
The Bounded Cohomology of SL2 Over Local Fields and S-Integers
It is proved that the continuous bounded cohomology of SL2(k) vanishes in all positive degrees whenever k is a non-Archimedean local field. This holds more generally for boundary-transitive groups of tree automorphisms and implies low degree vanishing for ...
OXFORD UNIV PRESS2019A central limit theorem for integrals of random waves
Marius Christopher Lemm, Matthew De Courcy-Ireland
We derive a central limit theorem for the mean-square of random waves in the high-frequency limit over shrinking sets. Our proof applies to any compact Riemannian manifold of arbitrary dimension, thanks to the universality of the local Weyl law. The key te ...
2019Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes
We describe an injection from border-strip decompositions of certain diagrams to permutations. This allows us to provide enumeration results as well as q-analogues of enumeration formulas. Finally, we use this injection to prove a connection between the nu ...
2019Generalized Norm-compatible Systems on Unitary Shimura Varieties
We define and study in terms of integral IwahoriâHecke algebras a new class of geometric operators acting on the Bruhat-Tits building of connected reductive groups over p-adic fields. These operators, which we call U-operators, generalize the geometric n ...
EPFL2019Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations
This work presents a novel methodology for speeding up the assembly of stiffness matrices for laminate composite 3D structures in the context of isogeometric and finite element discretizations. By splitting the involved terms into their in-plane and out-of ...
2019Geometric stabilisation via $p$-adic integration
Dimitri Stelio Wyss, Michael Gröchenig
In this article we give a new proof of Ngô's Geometric Stabilisation Theorem, which implies the Fundamental Lemma. This is a statement which relates the cohomology of Hitchin fibres for a quasi-split reductive group scheme G to the cohomology of Hitchin fi ...
2018Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration
Dimitri Stelio Wyss, Michael Gröchenig
We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type and . More precisely, we establish an equality of stringy Hodge numbers for certain pairs of algebraic orbifolds generica ...
2017Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples
In the present thesis we study the geometry of the moduli spaces of Bradlow-Higgs triples on a smooth projective curve C. There is a family of stability conditions for triples that depends on a positive real parameter Ï. The moduli spaces of Ï-semistable ...
EPFL2016Cohomology Of Large Semiprojective Hyperkahler Varieties
In this paper we survey geometric and arithmetic techniques to study the cohomology of semiprojective hyperkahler manifolds including toric hyperkahler varieties, Nakajima quiver varieties and moduli spaces of Higgs bundles on Riemann surfaces. The resulti ...
Soc Mathematique France2015The xi-stability on the affine grassmannian
We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient ( ...
Springer Heidelberg2015